Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(64,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.z (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 64.11 | ||
Character | \(\chi\) | \(=\) | 525.64 |
Dual form | 525.2.z.a.484.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{3}{10}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.975068 | + | 1.34207i | 0.689477 | + | 0.948984i | 0.999999 | − | 0.00158239i | \(-0.000503690\pi\) |
−0.310522 | + | 0.950566i | \(0.600504\pi\) | |||||||
\(3\) | −0.951057 | − | 0.309017i | −0.549093 | − | 0.178411i | ||||
\(4\) | −0.232349 | + | 0.715098i | −0.116175 | + | 0.357549i | ||||
\(5\) | −2.23159 | − | 0.141462i | −0.997997 | − | 0.0632639i | ||||
\(6\) | −0.512624 | − | 1.57769i | −0.209278 | − | 0.644091i | ||||
\(7\) | − | 1.00000i | − | 0.377964i | ||||||
\(8\) | 1.96912 | − | 0.639806i | 0.696189 | − | 0.226206i | ||||
\(9\) | 0.809017 | + | 0.587785i | 0.269672 | + | 0.195928i | ||||
\(10\) | −1.98610 | − | 3.13287i | −0.628060 | − | 0.990702i | ||||
\(11\) | 1.57506 | − | 1.14434i | 0.474897 | − | 0.345033i | −0.324450 | − | 0.945903i | \(-0.605179\pi\) |
0.799347 | + | 0.600870i | \(0.205179\pi\) | |||||||
\(12\) | 0.441955 | − | 0.608299i | 0.127581 | − | 0.175601i | ||||
\(13\) | 3.02508 | − | 4.16367i | 0.839007 | − | 1.15479i | −0.147173 | − | 0.989111i | \(-0.547017\pi\) |
0.986179 | − | 0.165683i | \(-0.0529827\pi\) | |||||||
\(14\) | 1.34207 | − | 0.975068i | 0.358682 | − | 0.260598i | ||||
\(15\) | 2.07865 | + | 0.824138i | 0.536706 | + | 0.212791i | ||||
\(16\) | 3.99529 | + | 2.90275i | 0.998822 | + | 0.725686i | ||||
\(17\) | 0.177322 | − | 0.0576153i | 0.0430068 | − | 0.0139738i | −0.287435 | − | 0.957800i | \(-0.592802\pi\) |
0.330441 | + | 0.943827i | \(0.392802\pi\) | |||||||
\(18\) | 1.65888i | 0.391003i | ||||||||
\(19\) | −1.02984 | − | 3.16951i | −0.236261 | − | 0.727136i | −0.996952 | − | 0.0780214i | \(-0.975140\pi\) |
0.760691 | − | 0.649114i | \(-0.224860\pi\) | |||||||
\(20\) | 0.619668 | − | 1.56294i | 0.138562 | − | 0.349483i | ||||
\(21\) | −0.309017 | + | 0.951057i | −0.0674330 | + | 0.207538i | ||||
\(22\) | 3.07157 | + | 0.998014i | 0.654861 | + | 0.212777i | ||||
\(23\) | 2.12941 | + | 2.93088i | 0.444012 | + | 0.611130i | 0.971098 | − | 0.238682i | \(-0.0767154\pi\) |
−0.527086 | + | 0.849812i | \(0.676715\pi\) | |||||||
\(24\) | −2.07046 | −0.422630 | ||||||||
\(25\) | 4.95998 | + | 0.631372i | 0.991995 | + | 0.126274i | ||||
\(26\) | 8.53758 | 1.67436 | ||||||||
\(27\) | −0.587785 | − | 0.809017i | −0.113119 | − | 0.155695i | ||||
\(28\) | 0.715098 | + | 0.232349i | 0.135141 | + | 0.0439099i | ||||
\(29\) | 0.821005 | − | 2.52679i | 0.152457 | − | 0.469214i | −0.845438 | − | 0.534074i | \(-0.820660\pi\) |
0.997894 | + | 0.0648605i | \(0.0206602\pi\) | |||||||
\(30\) | 0.920781 | + | 3.59328i | 0.168111 | + | 0.656040i | ||||
\(31\) | −0.149360 | − | 0.459682i | −0.0268258 | − | 0.0825614i | 0.936747 | − | 0.350006i | \(-0.113821\pi\) |
−0.963573 | + | 0.267445i | \(0.913821\pi\) | |||||||
\(32\) | 4.05140i | 0.716193i | ||||||||
\(33\) | −1.85159 | + | 0.601618i | −0.322320 | + | 0.104728i | ||||
\(34\) | 0.250224 | + | 0.181798i | 0.0429131 | + | 0.0311782i | ||||
\(35\) | −0.141462 | + | 2.23159i | −0.0239115 | + | 0.377207i | ||||
\(36\) | −0.608299 | + | 0.441955i | −0.101383 | + | 0.0736592i | ||||
\(37\) | −0.836308 | + | 1.15108i | −0.137488 | + | 0.189236i | −0.872209 | − | 0.489133i | \(-0.837313\pi\) |
0.734721 | + | 0.678370i | \(0.237313\pi\) | |||||||
\(38\) | 3.24953 | − | 4.47260i | 0.527144 | − | 0.725551i | ||||
\(39\) | −4.16367 | + | 3.02508i | −0.666720 | + | 0.484401i | ||||
\(40\) | −4.48478 | + | 1.14923i | −0.709105 | + | 0.181709i | ||||
\(41\) | 5.29686 | + | 3.84839i | 0.827231 | + | 0.601018i | 0.918774 | − | 0.394783i | \(-0.129180\pi\) |
−0.0915439 | + | 0.995801i | \(0.529180\pi\) | |||||||
\(42\) | −1.57769 | + | 0.512624i | −0.243443 | + | 0.0790995i | ||||
\(43\) | − | 11.8631i | − | 1.80910i | −0.426365 | − | 0.904551i | \(-0.640206\pi\) | ||
0.426365 | − | 0.904551i | \(-0.359794\pi\) | |||||||
\(44\) | 0.452355 | + | 1.39221i | 0.0681952 | + | 0.209883i | ||||
\(45\) | −1.72224 | − | 1.42614i | −0.256737 | − | 0.212596i | ||||
\(46\) | −1.85711 | + | 5.71561i | −0.273816 | + | 0.842720i | ||||
\(47\) | −3.10473 | − | 1.00879i | −0.452872 | − | 0.147147i | 0.0736949 | − | 0.997281i | \(-0.476521\pi\) |
−0.526567 | + | 0.850134i | \(0.676521\pi\) | |||||||
\(48\) | −2.90275 | − | 3.99529i | −0.418975 | − | 0.576670i | ||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | 3.98897 | + | 7.27225i | 0.564126 | + | 1.02845i | ||||
\(51\) | −0.186447 | −0.0261078 | ||||||||
\(52\) | 2.27455 | + | 3.13066i | 0.315424 | + | 0.434144i | ||||
\(53\) | −8.07379 | − | 2.62333i | −1.10902 | − | 0.360343i | −0.303453 | − | 0.952846i | \(-0.598140\pi\) |
−0.805568 | + | 0.592504i | \(0.798140\pi\) | |||||||
\(54\) | 0.512624 | − | 1.57769i | 0.0697592 | − | 0.214697i | ||||
\(55\) | −3.67676 | + | 2.33090i | −0.495774 | + | 0.314298i | ||||
\(56\) | −0.639806 | − | 1.96912i | −0.0854977 | − | 0.263135i | ||||
\(57\) | 3.33262i | 0.441416i | ||||||||
\(58\) | 4.19166 | − | 1.36195i | 0.550392 | − | 0.178833i | ||||
\(59\) | 5.72708 | + | 4.16096i | 0.745602 | + | 0.541711i | 0.894460 | − | 0.447147i | \(-0.147560\pi\) |
−0.148859 | + | 0.988858i | \(0.547560\pi\) | |||||||
\(60\) | −1.07231 | + | 1.29495i | −0.138435 | + | 0.167178i | ||||
\(61\) | −3.33182 | + | 2.42071i | −0.426596 | + | 0.309940i | −0.780286 | − | 0.625423i | \(-0.784927\pi\) |
0.353690 | + | 0.935363i | \(0.384927\pi\) | |||||||
\(62\) | 0.471288 | − | 0.648672i | 0.0598536 | − | 0.0823814i | ||||
\(63\) | 0.587785 | − | 0.809017i | 0.0740540 | − | 0.101927i | ||||
\(64\) | 2.55333 | − | 1.85510i | 0.319166 | − | 0.231888i | ||||
\(65\) | −7.33974 | + | 8.86366i | −0.910383 | + | 1.09940i | ||||
\(66\) | −2.61284 | − | 1.89834i | −0.321618 | − | 0.233669i | ||||
\(67\) | 0.483317 | − | 0.157039i | 0.0590465 | − | 0.0191854i | −0.279345 | − | 0.960191i | \(-0.590117\pi\) |
0.338391 | + | 0.941005i | \(0.390117\pi\) | |||||||
\(68\) | 0.140189i | 0.0170004i | ||||||||
\(69\) | −1.11949 | − | 3.44545i | −0.134771 | − | 0.414784i | ||||
\(70\) | −3.13287 | + | 1.98610i | −0.374450 | + | 0.237384i | ||||
\(71\) | −3.79977 | + | 11.6945i | −0.450950 | + | 1.38788i | 0.424876 | + | 0.905252i | \(0.360318\pi\) |
−0.875825 | + | 0.482628i | \(0.839682\pi\) | |||||||
\(72\) | 1.96912 | + | 0.639806i | 0.232063 | + | 0.0754019i | ||||
\(73\) | −8.50619 | − | 11.7078i | −0.995575 | − | 1.37029i | −0.928001 | − | 0.372577i | \(-0.878474\pi\) |
−0.0675734 | − | 0.997714i | \(-0.521526\pi\) | |||||||
\(74\) | −2.36028 | −0.274377 | ||||||||
\(75\) | −4.52211 | − | 2.13319i | −0.522169 | − | 0.246319i | ||||
\(76\) | 2.50579 | 0.287434 | ||||||||
\(77\) | −1.14434 | − | 1.57506i | −0.130410 | − | 0.179494i | ||||
\(78\) | −8.11972 | − | 2.63826i | −0.919377 | − | 0.298724i | ||||
\(79\) | −1.41619 | + | 4.35859i | −0.159334 | + | 0.490380i | −0.998574 | − | 0.0533810i | \(-0.983000\pi\) |
0.839240 | + | 0.543761i | \(0.183000\pi\) | |||||||
\(80\) | −8.50521 | − | 7.04292i | −0.950911 | − | 0.787422i | ||||
\(81\) | 0.309017 | + | 0.951057i | 0.0343352 | + | 0.105673i | ||||
\(82\) | 10.8612i | 1.19942i | ||||||||
\(83\) | −6.71275 | + | 2.18111i | −0.736820 | + | 0.239407i | −0.653301 | − | 0.757099i | \(-0.726616\pi\) |
−0.0835198 | + | 0.996506i | \(0.526616\pi\) | |||||||
\(84\) | −0.608299 | − | 0.441955i | −0.0663708 | − | 0.0482212i | ||||
\(85\) | −0.403859 | + | 0.103489i | −0.0438047 | + | 0.0112250i | ||||
\(86\) | 15.9210 | − | 11.5673i | 1.71681 | − | 1.24734i | ||||
\(87\) | −1.56164 | + | 2.14942i | −0.167426 | + | 0.230442i | ||||
\(88\) | 2.36932 | − | 3.26108i | 0.252570 | − | 0.347633i | ||||
\(89\) | −5.38898 | + | 3.91533i | −0.571231 | + | 0.415024i | −0.835552 | − | 0.549411i | \(-0.814852\pi\) |
0.264321 | + | 0.964435i | \(0.414852\pi\) | |||||||
\(90\) | 0.234670 | − | 3.70195i | 0.0247364 | − | 0.390220i | ||||
\(91\) | −4.16367 | − | 3.02508i | −0.436471 | − | 0.317115i | ||||
\(92\) | −2.59063 | + | 0.841747i | −0.270092 | + | 0.0877582i | ||||
\(93\) | 0.483338i | 0.0501199i | ||||||||
\(94\) | −1.67346 | − | 5.15039i | −0.172605 | − | 0.531222i | ||||
\(95\) | 1.84980 | + | 7.21873i | 0.189786 | + | 0.740626i | ||||
\(96\) | 1.25195 | − | 3.85311i | 0.127777 | − | 0.393256i | ||||
\(97\) | 13.1475 | + | 4.27187i | 1.33492 | + | 0.433743i | 0.887594 | − | 0.460627i | \(-0.152375\pi\) |
0.447329 | + | 0.894370i | \(0.352375\pi\) | |||||||
\(98\) | −0.975068 | − | 1.34207i | −0.0984967 | − | 0.135569i | ||||
\(99\) | 1.94688 | 0.195668 | ||||||||
\(100\) | −1.60394 | + | 3.40017i | −0.160394 | + | 0.340017i | ||||
\(101\) | 12.9619 | 1.28976 | 0.644879 | − | 0.764285i | \(-0.276908\pi\) | ||||
0.644879 | + | 0.764285i | \(0.276908\pi\) | |||||||
\(102\) | −0.181798 | − | 0.250224i | −0.0180007 | − | 0.0247759i | ||||
\(103\) | −7.68752 | − | 2.49783i | −0.757474 | − | 0.246118i | −0.0952797 | − | 0.995451i | \(-0.530375\pi\) |
−0.662194 | + | 0.749332i | \(0.730375\pi\) | |||||||
\(104\) | 3.29281 | − | 10.1342i | 0.322887 | − | 0.993743i | ||||
\(105\) | 0.824138 | − | 2.07865i | 0.0804276 | − | 0.202856i | ||||
\(106\) | −4.35181 | − | 13.3935i | −0.422685 | − | 1.30089i | ||||
\(107\) | 7.49971i | 0.725024i | 0.931979 | + | 0.362512i | \(0.118081\pi\) | ||||
−0.931979 | + | 0.362512i | \(0.881919\pi\) | |||||||
\(108\) | 0.715098 | − | 0.232349i | 0.0688104 | − | 0.0223578i | ||||
\(109\) | 11.3074 | + | 8.21528i | 1.08305 | + | 0.786881i | 0.978212 | − | 0.207608i | \(-0.0665678\pi\) |
0.104837 | + | 0.994489i | \(0.466568\pi\) | |||||||
\(110\) | −6.71330 | − | 2.66167i | −0.640088 | − | 0.253780i | ||||
\(111\) | 1.15108 | − | 0.836308i | 0.109256 | − | 0.0793789i | ||||
\(112\) | 2.90275 | − | 3.99529i | 0.274284 | − | 0.377519i | ||||
\(113\) | 1.11192 | − | 1.53043i | 0.104601 | − | 0.143971i | −0.753508 | − | 0.657439i | \(-0.771640\pi\) |
0.858109 | + | 0.513468i | \(0.171640\pi\) | |||||||
\(114\) | −4.47260 | + | 3.24953i | −0.418897 | + | 0.304347i | ||||
\(115\) | −4.33735 | − | 6.84174i | −0.404460 | − | 0.637996i | ||||
\(116\) | 1.61615 | + | 1.17420i | 0.150055 | + | 0.109022i | ||||
\(117\) | 4.89468 | − | 1.59038i | 0.452514 | − | 0.147031i | ||||
\(118\) | 11.7433i | 1.08106i | ||||||||
\(119\) | −0.0576153 | − | 0.177322i | −0.00528158 | − | 0.0162550i | ||||
\(120\) | 4.62041 | + | 0.292892i | 0.421784 | + | 0.0267372i | ||||
\(121\) | −2.22791 | + | 6.85681i | −0.202538 | + | 0.623346i | ||||
\(122\) | −6.49750 | − | 2.11117i | −0.588256 | − | 0.191136i | ||||
\(123\) | −3.84839 | − | 5.29686i | −0.346998 | − | 0.477602i | ||||
\(124\) | 0.363422 | 0.0326362 | ||||||||
\(125\) | −10.9793 | − | 2.11061i | −0.982020 | − | 0.188779i | ||||
\(126\) | 1.65888 | 0.147785 | ||||||||
\(127\) | −3.93690 | − | 5.41867i | −0.349343 | − | 0.480830i | 0.597798 | − | 0.801647i | \(-0.296042\pi\) |
−0.947141 | + | 0.320817i | \(0.896042\pi\) | |||||||
\(128\) | 12.6856 | + | 4.12179i | 1.12126 | + | 0.364318i | ||||
\(129\) | −3.66589 | + | 11.2825i | −0.322764 | + | 0.993365i | ||||
\(130\) | −19.0524 | − | 1.20775i | −1.67100 | − | 0.105926i | ||||
\(131\) | 4.86291 | + | 14.9665i | 0.424874 | + | 1.30763i | 0.903115 | + | 0.429400i | \(0.141275\pi\) |
−0.478240 | + | 0.878229i | \(0.658725\pi\) | |||||||
\(132\) | − | 1.46385i | − | 0.127412i | ||||||
\(133\) | −3.16951 | + | 1.02984i | −0.274831 | + | 0.0892981i | ||||
\(134\) | 0.682023 | + | 0.495519i | 0.0589178 | + | 0.0428063i | ||||
\(135\) | 1.19725 | + | 1.88854i | 0.103043 | + | 0.162540i | ||||
\(136\) | 0.312305 | − | 0.226903i | 0.0267799 | − | 0.0194568i | ||||
\(137\) | 4.03447 | − | 5.55297i | 0.344688 | − | 0.474422i | −0.601115 | − | 0.799162i | \(-0.705277\pi\) |
0.945803 | + | 0.324740i | \(0.105277\pi\) | |||||||
\(138\) | 3.53244 | − | 4.86199i | 0.300701 | − | 0.413880i | ||||
\(139\) | −10.4580 | + | 7.59815i | −0.887032 | + | 0.644467i | −0.935103 | − | 0.354377i | \(-0.884693\pi\) |
0.0480702 | + | 0.998844i | \(0.484693\pi\) | |||||||
\(140\) | −1.56294 | − | 0.619668i | −0.132092 | − | 0.0523715i | ||||
\(141\) | 2.64104 | + | 1.91883i | 0.222416 | + | 0.161595i | ||||
\(142\) | −19.3998 | + | 6.30338i | −1.62800 | + | 0.528968i | ||||
\(143\) | − | 10.0197i | − | 0.837893i | ||||||
\(144\) | 1.52606 | + | 4.69674i | 0.127172 | + | 0.391395i | ||||
\(145\) | −2.18959 | + | 5.52262i | −0.181836 | + | 0.458629i | ||||
\(146\) | 7.41848 | − | 22.8317i | 0.613958 | − | 1.88957i | ||||
\(147\) | 0.951057 | + | 0.309017i | 0.0784418 | + | 0.0254873i | ||||
\(148\) | −0.628819 | − | 0.865495i | −0.0516886 | − | 0.0711433i | ||||
\(149\) | 19.6909 | 1.61314 | 0.806571 | − | 0.591137i | \(-0.201321\pi\) | ||||
0.806571 | + | 0.591137i | \(0.201321\pi\) | |||||||
\(150\) | −1.54649 | − | 8.14898i | −0.126270 | − | 0.665361i | ||||
\(151\) | −15.6702 | −1.27522 | −0.637611 | − | 0.770359i | \(-0.720077\pi\) | ||||
−0.637611 | + | 0.770359i | \(0.720077\pi\) | |||||||
\(152\) | −4.05574 | − | 5.58225i | −0.328964 | − | 0.452781i | ||||
\(153\) | 0.177322 | + | 0.0576153i | 0.0143356 | + | 0.00465792i | ||||
\(154\) | 0.998014 | − | 3.07157i | 0.0804223 | − | 0.247514i | ||||
\(155\) | 0.268282 | + | 1.04695i | 0.0215489 | + | 0.0840931i | ||||
\(156\) | −1.19580 | − | 3.68031i | −0.0957409 | − | 0.294660i | ||||
\(157\) | 11.3814i | 0.908334i | 0.890917 | + | 0.454167i | \(0.150063\pi\) | ||||
−0.890917 | + | 0.454167i | \(0.849937\pi\) | |||||||
\(158\) | −7.23041 | + | 2.34930i | −0.575220 | + | 0.186900i | ||||
\(159\) | 6.86798 | + | 4.98988i | 0.544666 | + | 0.395723i | ||||
\(160\) | 0.573121 | − | 9.04106i | 0.0453092 | − | 0.714758i | ||||
\(161\) | 2.93088 | − | 2.12941i | 0.230985 | − | 0.167821i | ||||
\(162\) | −0.975068 | + | 1.34207i | −0.0766086 | + | 0.105443i | ||||
\(163\) | 13.0628 | − | 17.9794i | 1.02316 | − | 1.40826i | 0.113191 | − | 0.993573i | \(-0.463893\pi\) |
0.909966 | − | 0.414682i | \(-0.136107\pi\) | |||||||
\(164\) | −3.98270 | + | 2.89360i | −0.310997 | + | 0.225952i | ||||
\(165\) | 4.21709 | − | 1.08063i | 0.328300 | − | 0.0841271i | ||||
\(166\) | −9.47258 | − | 6.88223i | −0.735215 | − | 0.534165i | ||||
\(167\) | 1.82714 | − | 0.593672i | 0.141388 | − | 0.0459398i | −0.237468 | − | 0.971395i | \(-0.576318\pi\) |
0.378856 | + | 0.925456i | \(0.376318\pi\) | |||||||
\(168\) | 2.07046i | 0.159739i | ||||||||
\(169\) | −4.16779 | − | 12.8271i | −0.320599 | − | 0.986702i | ||||
\(170\) | −0.532680 | − | 0.441097i | −0.0408547 | − | 0.0338306i | ||||
\(171\) | 1.02984 | − | 3.16951i | 0.0787536 | − | 0.242379i | ||||
\(172\) | 8.48327 | + | 2.75638i | 0.646843 | + | 0.210172i | ||||
\(173\) | 6.92563 | + | 9.53231i | 0.526546 | + | 0.724728i | 0.986599 | − | 0.163163i | \(-0.0521698\pi\) |
−0.460054 | + | 0.887891i | \(0.652170\pi\) | |||||||
\(174\) | −4.40737 | −0.334122 | ||||||||
\(175\) | 0.631372 | − | 4.95998i | 0.0477272 | − | 0.374939i | ||||
\(176\) | 9.61454 | 0.724723 | ||||||||
\(177\) | −4.16096 | − | 5.72708i | −0.312757 | − | 0.430473i | ||||
\(178\) | −10.5092 | − | 3.41466i | −0.787702 | − | 0.255940i | ||||
\(179\) | 3.17605 | − | 9.77488i | 0.237389 | − | 0.730609i | −0.759406 | − | 0.650617i | \(-0.774510\pi\) |
0.996795 | − | 0.0799921i | \(-0.0254895\pi\) | |||||||
\(180\) | 1.41999 | − | 0.900210i | 0.105840 | − | 0.0670977i | ||||
\(181\) | 0.513870 | + | 1.58153i | 0.0381956 | + | 0.117554i | 0.968336 | − | 0.249649i | \(-0.0803153\pi\) |
−0.930141 | + | 0.367203i | \(0.880315\pi\) | |||||||
\(182\) | − | 8.53758i | − | 0.632847i | ||||||
\(183\) | 3.91679 | − | 1.27264i | 0.289537 | − | 0.0940764i | ||||
\(184\) | 6.06825 | + | 4.40884i | 0.447357 | + | 0.325024i | ||||
\(185\) | 2.02913 | − | 2.45043i | 0.149185 | − | 0.180159i | ||||
\(186\) | −0.648672 | + | 0.471288i | −0.0475629 | + | 0.0345565i | ||||
\(187\) | 0.213360 | − | 0.293664i | 0.0156024 | − | 0.0214749i | ||||
\(188\) | 1.44277 | − | 1.98580i | 0.105224 | − | 0.144829i | ||||
\(189\) | −0.809017 | + | 0.587785i | −0.0588473 | + | 0.0427551i | ||||
\(190\) | −7.88432 | + | 9.52131i | −0.571989 | + | 0.690748i | ||||
\(191\) | −9.31502 | − | 6.76776i | −0.674011 | − | 0.489698i | 0.197354 | − | 0.980332i | \(-0.436765\pi\) |
−0.871365 | + | 0.490635i | \(0.836765\pi\) | |||||||
\(192\) | −3.00162 | + | 0.975284i | −0.216623 | + | 0.0703851i | ||||
\(193\) | 25.4435i | 1.83147i | 0.401787 | + | 0.915733i | \(0.368389\pi\) | ||||
−0.401787 | + | 0.915733i | \(0.631611\pi\) | |||||||
\(194\) | 7.08654 | + | 21.8101i | 0.508784 | + | 1.56588i | ||||
\(195\) | 9.71953 | − | 6.16173i | 0.696030 | − | 0.441251i | ||||
\(196\) | 0.232349 | − | 0.715098i | 0.0165964 | − | 0.0510784i | ||||
\(197\) | −3.00927 | − | 0.977772i | −0.214402 | − | 0.0696634i | 0.199847 | − | 0.979827i | \(-0.435956\pi\) |
−0.414249 | + | 0.910164i | \(0.635956\pi\) | |||||||
\(198\) | 1.89834 | + | 2.61284i | 0.134909 | + | 0.185686i | ||||
\(199\) | 19.3699 | 1.37310 | 0.686549 | − | 0.727084i | \(-0.259125\pi\) | ||||
0.686549 | + | 0.727084i | \(0.259125\pi\) | |||||||
\(200\) | 10.1707 | − | 1.93018i | 0.719181 | − | 0.136484i | ||||
\(201\) | −0.508189 | −0.0358449 | ||||||||
\(202\) | 12.6387 | + | 17.3957i | 0.889259 | + | 1.22396i | ||||
\(203\) | −2.52679 | − | 0.821005i | −0.177346 | − | 0.0576233i | ||||
\(204\) | 0.0433209 | − | 0.133328i | 0.00303307 | − | 0.00933482i | ||||
\(205\) | −11.2760 | − | 9.33734i | −0.787551 | − | 0.652148i | ||||
\(206\) | −4.14361 | − | 12.7527i | −0.288699 | − | 0.888523i | ||||
\(207\) | 3.62276i | 0.251799i | ||||||||
\(208\) | 24.1721 | − | 7.85400i | 1.67604 | − | 0.544577i | ||||
\(209\) | −5.24906 | − | 3.81367i | −0.363085 | − | 0.263797i | ||||
\(210\) | 3.59328 | − | 0.920781i | 0.247960 | − | 0.0635399i | ||||
\(211\) | −13.1670 | + | 9.56637i | −0.906453 | + | 0.658576i | −0.940115 | − | 0.340857i | \(-0.889283\pi\) |
0.0336626 | + | 0.999433i | \(0.489283\pi\) | |||||||
\(212\) | 3.75188 | − | 5.16402i | 0.257680 | − | 0.354667i | ||||
\(213\) | 7.22759 | − | 9.94792i | 0.495226 | − | 0.681620i | ||||
\(214\) | −10.0651 | + | 7.31272i | −0.688036 | + | 0.499887i | ||||
\(215\) | −1.67818 | + | 26.4735i | −0.114451 | + | 1.80548i | ||||
\(216\) | −1.67503 | − | 1.21698i | −0.113972 | − | 0.0828052i | ||||
\(217\) | −0.459682 | + | 0.149360i | −0.0312053 | + | 0.0101392i | ||||
\(218\) | 23.1857i | 1.57033i | ||||||||
\(219\) | 4.47197 | + | 13.7633i | 0.302188 | + | 0.930038i | ||||
\(220\) | −0.812526 | − | 3.17082i | −0.0547805 | − | 0.213777i | ||||
\(221\) | 0.296521 | − | 0.912599i | 0.0199462 | − | 0.0613881i | ||||
\(222\) | 2.24476 | + | 0.729367i | 0.150659 | + | 0.0489519i | ||||
\(223\) | −3.72975 | − | 5.13356i | −0.249762 | − | 0.343768i | 0.665666 | − | 0.746250i | \(-0.268148\pi\) |
−0.915428 | + | 0.402482i | \(0.868148\pi\) | |||||||
\(224\) | 4.05140 | 0.270696 | ||||||||
\(225\) | 3.64159 | + | 3.42619i | 0.242773 | + | 0.228413i | ||||
\(226\) | 3.13814 | 0.208746 | ||||||||
\(227\) | −15.7625 | − | 21.6952i | −1.04619 | − | 1.43996i | −0.892065 | − | 0.451907i | \(-0.850744\pi\) |
−0.154126 | − | 0.988051i | \(-0.549256\pi\) | |||||||
\(228\) | −2.38315 | − | 0.774333i | −0.157828 | − | 0.0512814i | ||||
\(229\) | 0.722633 | − | 2.22404i | 0.0477529 | − | 0.146968i | −0.924337 | − | 0.381577i | \(-0.875381\pi\) |
0.972090 | + | 0.234609i | \(0.0753810\pi\) | |||||||
\(230\) | 4.95286 | − | 12.4922i | 0.326582 | − | 0.823709i | ||||
\(231\) | 0.601618 | + | 1.85159i | 0.0395835 | + | 0.121826i | ||||
\(232\) | − | 5.50085i | − | 0.361148i | ||||||
\(233\) | −3.33314 | + | 1.08300i | −0.218362 | + | 0.0709500i | −0.416155 | − | 0.909294i | \(-0.636623\pi\) |
0.197793 | + | 0.980244i | \(0.436623\pi\) | |||||||
\(234\) | 6.90704 | + | 5.01826i | 0.451528 | + | 0.328054i | ||||
\(235\) | 6.78578 | + | 2.69040i | 0.442655 | + | 0.175503i | ||||
\(236\) | −4.30618 | + | 3.12862i | −0.280309 | + | 0.203656i | ||||
\(237\) | 2.69376 | − | 3.70764i | 0.174978 | − | 0.240837i | ||||
\(238\) | 0.181798 | − | 0.250224i | 0.0117842 | − | 0.0162196i | ||||
\(239\) | −0.118480 | + | 0.0860809i | −0.00766385 | + | 0.00556811i | −0.591611 | − | 0.806224i | \(-0.701508\pi\) |
0.583947 | + | 0.811792i | \(0.301508\pi\) | |||||||
\(240\) | 5.91255 | + | 9.32647i | 0.381654 | + | 0.602021i | ||||
\(241\) | 21.5063 | + | 15.6253i | 1.38535 | + | 1.00651i | 0.996358 | + | 0.0852697i | \(0.0271752\pi\) |
0.388988 | + | 0.921243i | \(0.372825\pi\) | |||||||
\(242\) | −11.3747 | + | 3.69585i | −0.731191 | + | 0.237578i | ||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | −0.956898 | − | 2.94503i | −0.0612591 | − | 0.188536i | ||||
\(245\) | 2.23159 | + | 0.141462i | 0.142571 | + | 0.00903770i | ||||
\(246\) | 3.35629 | − | 10.3296i | 0.213989 | − | 0.658591i | ||||
\(247\) | −16.3121 | − | 5.30013i | −1.03792 | − | 0.337239i | ||||
\(248\) | −0.588215 | − | 0.809609i | −0.0373517 | − | 0.0514102i | ||||
\(249\) | 7.05821 | 0.447296 | ||||||||
\(250\) | −7.87300 | − | 16.7930i | −0.497932 | − | 1.06208i | ||||
\(251\) | −17.3718 | −1.09650 | −0.548249 | − | 0.836315i | \(-0.684705\pi\) | ||||
−0.548249 | + | 0.836315i | \(0.684705\pi\) | |||||||
\(252\) | 0.441955 | + | 0.608299i | 0.0278405 | + | 0.0383192i | ||||
\(253\) | 6.70786 | + | 2.17952i | 0.421720 | + | 0.137025i | ||||
\(254\) | 3.43348 | − | 10.5672i | 0.215435 | − | 0.663042i | ||||
\(255\) | 0.416073 | + | 0.0263752i | 0.0260555 | + | 0.00165168i | ||||
\(256\) | 4.88700 | + | 15.0406i | 0.305438 | + | 0.940040i | ||||
\(257\) | 18.9838i | 1.18418i | 0.805873 | + | 0.592089i | \(0.201697\pi\) | ||||
−0.805873 | + | 0.592089i | \(0.798303\pi\) | |||||||
\(258\) | −18.7163 | + | 6.08129i | −1.16523 | + | 0.378605i | ||||
\(259\) | 1.15108 | + | 0.836308i | 0.0715246 | + | 0.0519657i | ||||
\(260\) | −4.63300 | − | 7.30810i | −0.287326 | − | 0.453229i | ||||
\(261\) | 2.14942 | − | 1.56164i | 0.133046 | − | 0.0966634i | ||||
\(262\) | −15.3444 | + | 21.1197i | −0.947978 | + | 1.30478i | ||||
\(263\) | −14.6489 | + | 20.1624i | −0.903287 | + | 1.24327i | 0.0661201 | + | 0.997812i | \(0.478938\pi\) |
−0.969408 | + | 0.245457i | \(0.921062\pi\) | |||||||
\(264\) | −3.26108 | + | 2.36932i | −0.200706 | + | 0.145821i | ||||
\(265\) | 17.6463 | + | 6.99634i | 1.08400 | + | 0.429782i | ||||
\(266\) | −4.47260 | − | 3.24953i | −0.274232 | − | 0.199242i | ||||
\(267\) | 6.33513 | − | 2.05841i | 0.387704 | − | 0.125973i | ||||
\(268\) | 0.382107i | 0.0233409i | ||||||||
\(269\) | 6.14493 | + | 18.9121i | 0.374663 | + | 1.15309i | 0.943706 | + | 0.330786i | \(0.107314\pi\) |
−0.569043 | + | 0.822308i | \(0.692686\pi\) | |||||||
\(270\) | −1.36715 | + | 3.44825i | −0.0832021 | + | 0.209854i | ||||
\(271\) | −2.04794 | + | 6.30291i | −0.124403 | + | 0.382875i | −0.993792 | − | 0.111255i | \(-0.964513\pi\) |
0.869388 | + | 0.494129i | \(0.164513\pi\) | |||||||
\(272\) | 0.875693 | + | 0.284530i | 0.0530967 | + | 0.0172522i | ||||
\(273\) | 3.02508 | + | 4.16367i | 0.183086 | + | 0.251997i | ||||
\(274\) | 11.3863 | 0.687874 | ||||||||
\(275\) | 8.53474 | − | 4.68148i | 0.514664 | − | 0.282304i | ||||
\(276\) | 2.72395 | 0.163963 | ||||||||
\(277\) | 17.1371 | + | 23.5872i | 1.02967 | + | 1.41722i | 0.905197 | + | 0.424992i | \(0.139723\pi\) |
0.124471 | + | 0.992223i | \(0.460277\pi\) | |||||||
\(278\) | −20.3944 | − | 6.62656i | −1.22318 | − | 0.397434i | ||||
\(279\) | 0.149360 | − | 0.459682i | 0.00894194 | − | 0.0275205i | ||||
\(280\) | 1.14923 | + | 4.48478i | 0.0686795 | + | 0.268017i | ||||
\(281\) | −5.70670 | − | 17.5634i | −0.340433 | − | 1.04774i | −0.963984 | − | 0.265962i | \(-0.914310\pi\) |
0.623551 | − | 0.781783i | \(-0.285690\pi\) | |||||||
\(282\) | 5.41544i | 0.322485i | ||||||||
\(283\) | 15.6421 | − | 5.08242i | 0.929824 | − | 0.302118i | 0.195334 | − | 0.980737i | \(-0.437421\pi\) |
0.734491 | + | 0.678619i | \(0.237421\pi\) | |||||||
\(284\) | −7.47983 | − | 5.43441i | −0.443846 | − | 0.322473i | ||||
\(285\) | 0.471441 | − | 7.43704i | 0.0279257 | − | 0.440532i | ||||
\(286\) | 13.4472 | − | 9.76993i | 0.795147 | − | 0.577708i | ||||
\(287\) | 3.84839 | − | 5.29686i | 0.227164 | − | 0.312664i | ||||
\(288\) | −2.38135 | + | 3.27765i | −0.140323 | + | 0.193137i | ||||
\(289\) | −13.7252 | + | 9.97192i | −0.807363 | + | 0.586583i | ||||
\(290\) | −9.54673 | + | 2.44636i | −0.560603 | + | 0.143655i | ||||
\(291\) | −11.1839 | − | 8.12558i | −0.655612 | − | 0.476330i | ||||
\(292\) | 10.3486 | − | 3.36247i | 0.605607 | − | 0.196774i | ||||
\(293\) | 19.8384i | 1.15897i | 0.814982 | + | 0.579487i | \(0.196747\pi\) | ||||
−0.814982 | + | 0.579487i | \(0.803253\pi\) | |||||||
\(294\) | 0.512624 | + | 1.57769i | 0.0298968 | + | 0.0920129i | ||||
\(295\) | −12.1919 | − | 10.0957i | −0.709838 | − | 0.587796i | ||||
\(296\) | −0.910324 | + | 2.80169i | −0.0529115 | + | 0.162845i | ||||
\(297\) | −1.85159 | − | 0.601618i | −0.107440 | − | 0.0349094i | ||||
\(298\) | 19.2000 | + | 26.4265i | 1.11223 | + | 1.53085i | ||||
\(299\) | 18.6448 | 1.07826 | ||||||||
\(300\) | 2.57615 | − | 2.73811i | 0.148734 | − | 0.158085i | ||||
\(301\) | −11.8631 | −0.683777 | ||||||||
\(302\) | −15.2795 | − | 21.0304i | −0.879236 | − | 1.21016i | ||||
\(303\) | −12.3275 | − | 4.00545i | −0.708197 | − | 0.230107i | ||||
\(304\) | 5.08579 | − | 15.6525i | 0.291690 | − | 0.897730i | ||||
\(305\) | 7.77769 | − | 4.93070i | 0.445349 | − | 0.282331i | ||||
\(306\) | 0.0955771 | + | 0.294156i | 0.00546378 | + | 0.0168158i | ||||
\(307\) | 12.3017i | 0.702098i | 0.936357 | + | 0.351049i | \(0.114175\pi\) | ||||
−0.936357 | + | 0.351049i | \(0.885825\pi\) | |||||||
\(308\) | 1.39221 | − | 0.452355i | 0.0793284 | − | 0.0257753i | ||||
\(309\) | 6.53939 | + | 4.75115i | 0.372013 | + | 0.270283i | ||||
\(310\) | −1.14348 | + | 1.38090i | −0.0649455 | + | 0.0784298i | ||||
\(311\) | 17.7033 | − | 12.8622i | 1.00386 | − | 0.729347i | 0.0409475 | − | 0.999161i | \(-0.486962\pi\) |
0.962912 | + | 0.269814i | \(0.0869624\pi\) | |||||||
\(312\) | −6.26330 | + | 8.62069i | −0.354589 | + | 0.488050i | ||||
\(313\) | 16.2337 | − | 22.3438i | 0.917583 | − | 1.26294i | −0.0469277 | − | 0.998898i | \(-0.514943\pi\) |
0.964510 | − | 0.264046i | \(-0.0850570\pi\) | |||||||
\(314\) | −15.2746 | + | 11.0976i | −0.861994 | + | 0.626276i | ||||
\(315\) | −1.42614 | + | 1.72224i | −0.0803539 | + | 0.0970374i | ||||
\(316\) | −2.78777 | − | 2.02543i | −0.156824 | − | 0.113940i | ||||
\(317\) | −25.5526 | + | 8.30255i | −1.43518 | + | 0.466318i | −0.920391 | − | 0.391000i | \(-0.872129\pi\) |
−0.514787 | + | 0.857318i | \(0.672129\pi\) | |||||||
\(318\) | 14.0828i | 0.789721i | ||||||||
\(319\) | −1.59839 | − | 4.91935i | −0.0894929 | − | 0.275431i | ||||
\(320\) | −5.96040 | + | 3.77862i | −0.333197 | + | 0.211231i | ||||
\(321\) | 2.31754 | − | 7.13264i | 0.129352 | − | 0.398105i | ||||
\(322\) | 5.71561 | + | 1.85711i | 0.318518 | + | 0.103493i | ||||
\(323\) | −0.365225 | − | 0.502688i | −0.0203216 | − | 0.0279703i | ||||
\(324\) | −0.751899 | −0.0417722 | ||||||||
\(325\) | 17.6332 | − | 18.7417i | 0.978111 | − | 1.03960i | ||||
\(326\) | 36.8667 | 2.04186 | ||||||||
\(327\) | −8.21528 | − | 11.3074i | −0.454306 | − | 0.625299i | ||||
\(328\) | 12.8924 | + | 4.18899i | 0.711863 | + | 0.231298i | ||||
\(329\) | −1.00879 | + | 3.10473i | −0.0556163 | + | 0.171169i | ||||
\(330\) | 5.56223 | + | 4.60592i | 0.306191 | + | 0.253548i | ||||
\(331\) | −6.27714 | − | 19.3191i | −0.345023 | − | 1.06187i | −0.961572 | − | 0.274555i | \(-0.911470\pi\) |
0.616549 | − | 0.787317i | \(-0.288530\pi\) | |||||||
\(332\) | − | 5.30706i | − | 0.291263i | ||||||
\(333\) | −1.35318 | + | 0.439673i | −0.0741536 | + | 0.0240940i | ||||
\(334\) | 2.57833 | + | 1.87327i | 0.141080 | + | 0.102501i | ||||
\(335\) | −1.10078 | + | 0.282075i | −0.0601420 | + | 0.0154114i | ||||
\(336\) | −3.99529 | + | 2.90275i | −0.217961 | + | 0.158358i | ||||
\(337\) | 12.8941 | − | 17.7472i | 0.702386 | − | 0.966751i | −0.297542 | − | 0.954709i | \(-0.596167\pi\) |
0.999927 | − | 0.0120422i | \(-0.00383324\pi\) | |||||||
\(338\) | 13.1510 | − | 18.1008i | 0.715319 | − | 0.984552i | ||||
\(339\) | −1.53043 | + | 1.11192i | −0.0831216 | + | 0.0603914i | ||||
\(340\) | 0.0198315 | − | 0.312845i | 0.00107551 | − | 0.0169664i | ||||
\(341\) | −0.761285 | − | 0.553106i | −0.0412259 | − | 0.0299524i | ||||
\(342\) | 5.25785 | − | 1.70838i | 0.284312 | − | 0.0923786i | ||||
\(343\) | 1.00000i | 0.0539949i | ||||||||
\(344\) | −7.59007 | − | 23.3598i | −0.409229 | − | 1.25948i | ||||
\(345\) | 2.01085 | + | 7.84720i | 0.108261 | + | 0.422479i | ||||
\(346\) | −6.04003 | + | 18.5893i | −0.324714 | + | 0.999367i | ||||
\(347\) | 15.4659 | + | 5.02519i | 0.830255 | + | 0.269766i | 0.693153 | − | 0.720791i | \(-0.256221\pi\) |
0.137102 | + | 0.990557i | \(0.456221\pi\) | |||||||
\(348\) | −1.17420 | − | 1.61615i | −0.0629436 | − | 0.0866345i | ||||
\(349\) | 0.362643 | 0.0194118 | 0.00970592 | − | 0.999953i | \(-0.496910\pi\) | ||||
0.00970592 | + | 0.999953i | \(0.496910\pi\) | |||||||
\(350\) | 7.27225 | − | 3.98897i | 0.388718 | − | 0.213220i | ||||
\(351\) | −5.14658 | −0.274704 | ||||||||
\(352\) | 4.63620 | + | 6.38118i | 0.247110 | + | 0.340118i | ||||
\(353\) | −4.76784 | − | 1.54916i | −0.253766 | − | 0.0824537i | 0.179371 | − | 0.983781i | \(-0.442594\pi\) |
−0.433138 | + | 0.901328i | \(0.642594\pi\) | |||||||
\(354\) | 3.62889 | − | 11.1686i | 0.192873 | − | 0.593603i | ||||
\(355\) | 10.1339 | − | 25.5598i | 0.537849 | − | 1.35657i | ||||
\(356\) | −1.54771 | − | 4.76338i | −0.0820287 | − | 0.252458i | ||||
\(357\) | 0.186447i | 0.00986782i | ||||||||
\(358\) | 16.2154 | − | 5.26870i | 0.857010 | − | 0.278460i | ||||
\(359\) | −12.0488 | − | 8.75397i | −0.635912 | − | 0.462017i | 0.222532 | − | 0.974925i | \(-0.428568\pi\) |
−0.858443 | + | 0.512909i | \(0.828568\pi\) | |||||||
\(360\) | −4.30376 | − | 1.70634i | −0.226828 | − | 0.0899321i | ||||
\(361\) | 6.38609 | − | 4.63977i | 0.336110 | − | 0.244198i | ||||
\(362\) | −1.62146 | + | 2.23174i | −0.0852219 | + | 0.117298i | ||||
\(363\) | 4.23774 | − | 5.83275i | 0.222424 | − | 0.306140i | ||||
\(364\) | 3.13066 | − | 2.27455i | 0.164091 | − | 0.119219i | ||||
\(365\) | 17.3261 | + | 27.3302i | 0.906890 | + | 1.43053i | ||||
\(366\) | 5.52711 | + | 4.01568i | 0.288906 | + | 0.209903i | ||||
\(367\) | −12.5566 | + | 4.07990i | −0.655452 | + | 0.212969i | −0.617816 | − | 0.786322i | \(-0.711982\pi\) |
−0.0376352 | + | 0.999292i | \(0.511982\pi\) | |||||||
\(368\) | 17.8908i | 0.932623i | ||||||||
\(369\) | 2.02322 | + | 6.22683i | 0.105325 | + | 0.324156i | ||||
\(370\) | 5.26718 | + | 0.333891i | 0.273828 | + | 0.0173582i | ||||
\(371\) | −2.62333 | + | 8.07379i | −0.136197 | + | 0.419170i | ||||
\(372\) | −0.345634 | − | 0.112303i | −0.0179203 | − | 0.00582266i | ||||
\(373\) | −9.57498 | − | 13.1788i | −0.495774 | − | 0.682374i | 0.485666 | − | 0.874144i | \(-0.338577\pi\) |
−0.981440 | + | 0.191770i | \(0.938577\pi\) | |||||||
\(374\) | 0.602157 | 0.0311368 | ||||||||
\(375\) | 9.78973 | + | 5.40011i | 0.505540 | + | 0.278860i | ||||
\(376\) | −6.75902 | −0.348570 | ||||||||
\(377\) | −8.03712 | − | 11.0621i | −0.413933 | − | 0.569730i | ||||
\(378\) | −1.57769 | − | 0.512624i | −0.0811478 | − | 0.0263665i | ||||
\(379\) | 9.92623 | − | 30.5498i | 0.509876 | − | 1.56924i | −0.282539 | − | 0.959256i | \(-0.591177\pi\) |
0.792415 | − | 0.609982i | \(-0.208823\pi\) | |||||||
\(380\) | −5.59190 | − | 0.354476i | −0.286858 | − | 0.0181842i | ||||
\(381\) | 2.06975 | + | 6.37003i | 0.106036 | + | 0.326347i | ||||
\(382\) | − | 19.1004i | − | 0.977261i | ||||||
\(383\) | −21.5117 | + | 6.98957i | −1.09920 | + | 0.357150i | −0.801793 | − | 0.597602i | \(-0.796120\pi\) |
−0.297402 | + | 0.954752i | \(0.596120\pi\) | |||||||
\(384\) | −10.7910 | − | 7.84010i | −0.550675 | − | 0.400089i | ||||
\(385\) | 2.33090 | + | 3.67676i | 0.118793 | + | 0.187385i | ||||
\(386\) | −34.1469 | + | 24.8092i | −1.73803 | + | 1.26275i | ||||
\(387\) | 6.97294 | − | 9.59743i | 0.354455 | − | 0.487865i | ||||
\(388\) | −6.10961 | + | 8.40916i | −0.310168 | + | 0.426910i | ||||
\(389\) | 0.182051 | − | 0.132268i | 0.00923034 | − | 0.00670624i | −0.583161 | − | 0.812357i | \(-0.698184\pi\) |
0.592391 | + | 0.805651i | \(0.298184\pi\) | |||||||
\(390\) | 17.7467 | + | 7.03614i | 0.898637 | + | 0.356289i | ||||
\(391\) | 0.546453 | + | 0.397021i | 0.0276353 | + | 0.0200782i | ||||
\(392\) | −1.96912 | + | 0.639806i | −0.0994556 | + | 0.0323151i | ||||
\(393\) | − | 15.7367i | − | 0.793812i | ||||||
\(394\) | −1.62201 | − | 4.99204i | −0.0817158 | − | 0.251495i | ||||
\(395\) | 3.77694 | − | 9.52625i | 0.190038 | − | 0.479318i | ||||
\(396\) | −0.452355 | + | 1.39221i | −0.0227317 | + | 0.0699610i | ||||
\(397\) | 6.94147 | + | 2.25542i | 0.348382 | + | 0.113196i | 0.477981 | − | 0.878370i | \(-0.341369\pi\) |
−0.129598 | + | 0.991567i | \(0.541369\pi\) | |||||||
\(398\) | 18.8870 | + | 25.9957i | 0.946719 | + | 1.30305i | ||||
\(399\) | 3.33262 | 0.166840 | ||||||||
\(400\) | 17.9838 | + | 16.9201i | 0.899191 | + | 0.846003i | ||||
\(401\) | −33.0022 | −1.64805 | −0.824026 | − | 0.566552i | \(-0.808277\pi\) | ||||
−0.824026 | + | 0.566552i | \(0.808277\pi\) | |||||||
\(402\) | −0.495519 | − | 0.682023i | −0.0247142 | − | 0.0340162i | ||||
\(403\) | −2.36579 | − | 0.768691i | −0.117848 | − | 0.0382912i | ||||
\(404\) | −3.01169 | + | 9.26903i | −0.149837 | + | 0.461152i | ||||
\(405\) | −0.555060 | − | 2.16608i | −0.0275812 | − | 0.107633i | ||||
\(406\) | −1.36195 | − | 4.19166i | −0.0675926 | − | 0.208029i | ||||
\(407\) | 2.77004i | 0.137306i | ||||||||
\(408\) | −0.367137 | + | 0.119290i | −0.0181760 | + | 0.00590573i | ||||
\(409\) | 20.7815 | + | 15.0986i | 1.02758 | + | 0.746579i | 0.967823 | − | 0.251634i | \(-0.0809678\pi\) |
0.0597559 | + | 0.998213i | \(0.480968\pi\) | |||||||
\(410\) | 1.53645 | − | 24.2377i | 0.0758798 | − | 1.19701i | ||||
\(411\) | −5.55297 | + | 4.03447i | −0.273908 | + | 0.199006i | ||||
\(412\) | 3.57238 | − | 4.91696i | 0.175999 | − | 0.242241i | ||||
\(413\) | 4.16096 | − | 5.72708i | 0.204748 | − | 0.281811i | ||||
\(414\) | −4.86199 | + | 3.53244i | −0.238954 | + | 0.173610i | ||||
\(415\) | 15.2886 | − | 3.91773i | 0.750490 | − | 0.192314i | ||||
\(416\) | 16.8687 | + | 12.2558i | 0.827055 | + | 0.600891i | ||||
\(417\) | 12.2941 | − | 3.99458i | 0.602043 | − | 0.195616i | ||||
\(418\) | − | 10.7632i | − | 0.526444i | ||||||
\(419\) | −9.05894 | − | 27.8806i | −0.442558 | − | 1.36205i | −0.885139 | − | 0.465326i | \(-0.845937\pi\) |
0.442581 | − | 0.896728i | \(-0.354063\pi\) | |||||||
\(420\) | 1.29495 | + | 1.07231i | 0.0631872 | + | 0.0523235i | ||||
\(421\) | 3.29938 | − | 10.1544i | 0.160802 | − | 0.494897i | −0.837901 | − | 0.545823i | \(-0.816217\pi\) |
0.998702 | + | 0.0509255i | \(0.0162171\pi\) | |||||||
\(422\) | −25.6774 | − | 8.34310i | −1.24996 | − | 0.406136i | ||||
\(423\) | −1.91883 | − | 2.64104i | −0.0932967 | − | 0.128412i | ||||
\(424\) | −17.5767 | −0.853600 | ||||||||
\(425\) | 0.915888 | − | 0.173815i | 0.0444271 | − | 0.00843125i | ||||
\(426\) | 20.3982 | 0.988294 | ||||||||
\(427\) | 2.42071 | + | 3.33182i | 0.117146 | + | 0.161238i | ||||
\(428\) | −5.36303 | − | 1.74255i | −0.259232 | − | 0.0842295i | ||||
\(429\) | −3.09627 | + | 9.52934i | −0.149489 | + | 0.460081i | ||||
\(430\) | −37.1655 | + | 23.5613i | −1.79228 | + | 1.13622i | ||||
\(431\) | −5.21919 | − | 16.0630i | −0.251399 | − | 0.773728i | −0.994518 | − | 0.104568i | \(-0.966654\pi\) |
0.743118 | − | 0.669160i | \(-0.233346\pi\) | |||||||
\(432\) | − | 4.93845i | − | 0.237601i | ||||||
\(433\) | −11.5671 | + | 3.75839i | −0.555880 | + | 0.180616i | −0.573467 | − | 0.819229i | \(-0.694402\pi\) |
0.0175863 | + | 0.999845i | \(0.494402\pi\) | |||||||
\(434\) | −0.648672 | − | 0.471288i | −0.0311373 | − | 0.0226225i | ||||
\(435\) | 3.78901 | − | 4.57571i | 0.181669 | − | 0.219388i | ||||
\(436\) | −8.50200 | + | 6.17706i | −0.407172 | + | 0.295828i | ||||
\(437\) | 7.09650 | − | 9.76750i | 0.339472 | − | 0.467243i | ||||
\(438\) | −14.1108 | + | 19.4218i | −0.674240 | + | 0.928012i | ||||
\(439\) | 2.15977 | − | 1.56916i | 0.103080 | − | 0.0748920i | −0.535051 | − | 0.844820i | \(-0.679708\pi\) |
0.638131 | + | 0.769928i | \(0.279708\pi\) | |||||||
\(440\) | −5.74866 | + | 6.94223i | −0.274057 | + | 0.330958i | ||||
\(441\) | −0.809017 | − | 0.587785i | −0.0385246 | − | 0.0279898i | ||||
\(442\) | 1.51390 | − | 0.491895i | 0.0720087 | − | 0.0233971i | ||||
\(443\) | − | 15.8391i | − | 0.752540i | −0.926510 | − | 0.376270i | \(-0.877207\pi\) | ||
0.926510 | − | 0.376270i | \(-0.122793\pi\) | |||||||
\(444\) | 0.330590 | + | 1.01745i | 0.0156891 | + | 0.0482861i | ||||
\(445\) | 12.5799 | − | 7.97506i | 0.596343 | − | 0.378054i | ||||
\(446\) | 3.25282 | − | 10.0111i | 0.154025 | − | 0.474041i | ||||
\(447\) | −18.7272 | − | 6.08483i | −0.885765 | − | 0.287803i | ||||
\(448\) | −1.85510 | − | 2.55333i | −0.0876453 | − | 0.120633i | ||||
\(449\) | 16.5360 | 0.780382 | 0.390191 | − | 0.920734i | \(-0.372409\pi\) | ||||
0.390191 | + | 0.920734i | \(0.372409\pi\) | |||||||
\(450\) | −1.04737 | + | 8.22803i | −0.0493736 | + | 0.387873i | ||||
\(451\) | 12.7467 | 0.600220 | ||||||||
\(452\) | 0.836054 | + | 1.15073i | 0.0393247 | + | 0.0541258i | ||||
\(453\) | 14.9032 | + | 4.84235i | 0.700215 | + | 0.227514i | ||||
\(454\) | 13.7469 | − | 42.3085i | 0.645173 | − | 1.98564i | ||||
\(455\) | 8.86366 | + | 7.33974i | 0.415535 | + | 0.344092i | ||||
\(456\) | 2.13223 | + | 6.56233i | 0.0998509 | + | 0.307309i | ||||
\(457\) | − | 8.04163i | − | 0.376171i | −0.982153 | − | 0.188086i | \(-0.939772\pi\) | ||
0.982153 | − | 0.188086i | \(-0.0602283\pi\) | |||||||
\(458\) | 3.68942 | − | 1.19877i | 0.172395 | − | 0.0560146i | ||||
\(459\) | −0.150839 | − | 0.109591i | −0.00704055 | − | 0.00511526i | ||||
\(460\) | 5.90030 | − | 1.51196i | 0.275103 | − | 0.0704953i | ||||
\(461\) | −11.8618 | + | 8.61810i | −0.552459 | + | 0.401385i | −0.828691 | − | 0.559706i | \(-0.810914\pi\) |
0.276232 | + | 0.961091i | \(0.410914\pi\) | |||||||
\(462\) | −1.89834 | + | 2.61284i | −0.0883186 | + | 0.121560i | ||||
\(463\) | −18.7887 | + | 25.8605i | −0.873187 | + | 1.20184i | 0.105075 | + | 0.994464i | \(0.466492\pi\) |
−0.978262 | + | 0.207374i | \(0.933508\pi\) | |||||||
\(464\) | 10.6148 | − | 7.71210i | 0.492779 | − | 0.358025i | ||||
\(465\) | 0.0683742 | − | 1.07861i | 0.00317078 | − | 0.0500195i | ||||
\(466\) | −4.70350 | − | 3.41730i | −0.217886 | − | 0.158303i | ||||
\(467\) | 7.59244 | − | 2.46693i | 0.351336 | − | 0.114156i | −0.128032 | − | 0.991770i | \(-0.540866\pi\) |
0.479368 | + | 0.877614i | \(0.340866\pi\) | |||||||
\(468\) | 3.86970i | 0.178877i | ||||||||
\(469\) | −0.157039 | − | 0.483317i | −0.00725139 | − | 0.0223175i | ||||
\(470\) | 3.00590 | + | 11.7303i | 0.138652 | + | 0.541078i | ||||
\(471\) | 3.51704 | − | 10.8243i | 0.162057 | − | 0.498760i | ||||
\(472\) | 13.9395 | + | 4.52922i | 0.641618 | + | 0.208474i | ||||
\(473\) | −13.5755 | − | 18.6850i | −0.624200 | − | 0.859138i | ||||
\(474\) | 7.60250 | 0.349194 | ||||||||
\(475\) | −3.10682 | − | 16.3709i | −0.142551 | − | 0.751149i | ||||
\(476\) | 0.140189 | 0.00642556 | ||||||||
\(477\) | −4.98988 | − | 6.86798i | −0.228471 | − | 0.314463i | ||||
\(478\) | −0.231052 | − | 0.0750735i | −0.0105681 | − | 0.00343378i | ||||
\(479\) | −11.7102 | + | 36.0403i | −0.535053 | + | 1.64672i | 0.208481 | + | 0.978026i | \(0.433148\pi\) |
−0.743534 | + | 0.668698i | \(0.766852\pi\) | |||||||
\(480\) | −3.33891 | + | 8.42145i | −0.152400 | + | 0.384385i | ||||
\(481\) | 2.26281 | + | 6.96422i | 0.103175 | + | 0.317541i | ||||
\(482\) | 44.0986i | 2.00864i | ||||||||
\(483\) | −3.44545 | + | 1.11949i | −0.156773 | + | 0.0509388i | ||||
\(484\) | −4.38564 | − | 3.18635i | −0.199347 | − | 0.144834i | ||||
\(485\) | −28.7354 | − | 11.3929i | −1.30481 | − | 0.517326i | ||||
\(486\) | 1.34207 | − | 0.975068i | 0.0608773 | − | 0.0442300i | ||||
\(487\) | −4.98458 | + | 6.86069i | −0.225873 | + | 0.310887i | −0.906880 | − | 0.421390i | \(-0.861542\pi\) |
0.681007 | + | 0.732277i | \(0.261542\pi\) | |||||||
\(488\) | −5.01197 | + | 6.89839i | −0.226881 | + | 0.312275i | ||||
\(489\) | −17.9794 | + | 13.0628i | −0.813057 | + | 0.590720i | ||||
\(490\) | 1.98610 | + | 3.13287i | 0.0897228 | + | 0.141529i | ||||
\(491\) | −19.5399 | − | 14.1966i | −0.881824 | − | 0.640682i | 0.0519097 | − | 0.998652i | \(-0.483469\pi\) |
−0.933733 | + | 0.357969i | \(0.883469\pi\) | |||||||
\(492\) | 4.68195 | − | 1.52126i | 0.211078 | − | 0.0685836i | ||||
\(493\) | − | 0.495358i | − | 0.0223098i | ||||||
\(494\) | −8.79231 | − | 27.0599i | −0.395585 | − | 1.21748i | ||||
\(495\) | −4.34463 | − | 0.275410i | −0.195276 | − | 0.0123787i | ||||
\(496\) | 0.737605 | − | 2.27012i | 0.0331195 | − | 0.101931i | ||||
\(497\) | 11.6945 | + | 3.79977i | 0.524569 | + | 0.170443i | ||||
\(498\) | 6.88223 | + | 9.47258i | 0.308400 | + | 0.424476i | ||||
\(499\) | −17.0477 | −0.763159 | −0.381579 | − | 0.924336i | \(-0.624620\pi\) | ||||
−0.381579 | + | 0.924336i | \(0.624620\pi\) | |||||||
\(500\) | 4.06033 | − | 7.36089i | 0.181584 | − | 0.329189i | ||||
\(501\) | −1.92116 | −0.0858313 | ||||||||
\(502\) | −16.9387 | − | 23.3141i | −0.756011 | − | 1.04056i | ||||
\(503\) | −38.3709 | − | 12.4675i | −1.71087 | − | 0.555897i | −0.720395 | − | 0.693564i | \(-0.756040\pi\) |
−0.990479 | + | 0.137667i | \(0.956040\pi\) | |||||||
\(504\) | 0.639806 | − | 1.96912i | 0.0284992 | − | 0.0877116i | ||||
\(505\) | −28.9256 | − | 1.83362i | −1.28717 | − | 0.0815951i | ||||
\(506\) | 3.61557 | + | 11.1276i | 0.160732 | + | 0.494681i | ||||
\(507\) | 13.4872i | 0.598989i | ||||||||
\(508\) | 4.78962 | − | 1.55624i | 0.212505 | − | 0.0690471i | ||||
\(509\) | −6.53802 | − | 4.75015i | −0.289793 | − | 0.210547i | 0.433385 | − | 0.901209i | \(-0.357319\pi\) |
−0.723177 | + | 0.690662i | \(0.757319\pi\) | |||||||
\(510\) | 0.370302 | + | 0.584115i | 0.0163973 | + | 0.0258650i | ||||
\(511\) | −11.7078 | + | 8.50619i | −0.517921 | + | 0.376292i | ||||
\(512\) | 0.259832 | − | 0.357628i | 0.0114831 | − | 0.0158051i | ||||
\(513\) | −1.95887 | + | 2.69615i | −0.0864860 | + | 0.119038i | ||||
\(514\) | −25.4775 | + | 18.5105i | −1.12377 | + | 0.816464i | ||||
\(515\) | 16.8020 | + | 6.66162i | 0.740386 | + | 0.293546i | ||||
\(516\) | −7.21630 | − | 5.24295i | −0.317680 | − | 0.230808i | ||||
\(517\) | −6.04452 | + | 1.96399i | −0.265838 | + | 0.0863760i | ||||
\(518\) | 2.36028i | 0.103705i | ||||||||
\(519\) | −3.64102 | − | 11.2059i | −0.159823 | − | 0.491884i | ||||
\(520\) | −8.78181 | + | 22.1496i | −0.385108 | + | 0.971325i | ||||
\(521\) | −3.16545 | + | 9.74224i | −0.138681 | + | 0.426815i | −0.996144 | − | 0.0877292i | \(-0.972039\pi\) |
0.857464 | + | 0.514545i | \(0.172039\pi\) | |||||||
\(522\) | 4.19166 | + | 1.36195i | 0.183464 | + | 0.0596111i | ||||
\(523\) | 10.9618 | + | 15.0877i | 0.479327 | + | 0.659737i | 0.978375 | − | 0.206837i | \(-0.0663169\pi\) |
−0.499048 | + | 0.866574i | \(0.666317\pi\) | |||||||
\(524\) | −11.8324 | −0.516901 | ||||||||
\(525\) | −2.13319 | + | 4.52211i | −0.0930999 | + | 0.197361i | ||||
\(526\) | −41.3429 | −1.80264 | ||||||||
\(527\) | −0.0529694 | − | 0.0729062i | −0.00230739 | − | 0.00317584i | ||||
\(528\) | −9.14397 | − | 2.97106i | −0.397940 | − | 0.129299i | ||||
\(529\) | 3.05173 | − | 9.39225i | 0.132684 | − | 0.408359i | ||||
\(530\) | 7.81677 | + | 30.5044i | 0.339539 | + | 1.32503i | ||||
\(531\) | 2.18755 | + | 6.73258i | 0.0949315 | + | 0.292169i | ||||
\(532\) | − | 2.50579i | − | 0.108640i | ||||||
\(533\) | 32.0469 | − | 10.4127i | 1.38810 | − | 0.451022i | ||||
\(534\) | 8.93970 | + | 6.49507i | 0.386859 | + | 0.281069i | ||||
\(535\) | 1.06093 | − | 16.7363i | 0.0458679 | − | 0.723572i | ||||
\(536\) | 0.851234 | − | 0.618458i | 0.0367677 | − | 0.0267133i | ||||
\(537\) | −6.04121 | + | 8.31501i | −0.260697 | + | 0.358819i | ||||
\(538\) | −19.3896 | + | 26.6875i | −0.835946 | + | 1.15058i | ||||
\(539\) | −1.57506 | + | 1.14434i | −0.0678424 | + | 0.0492904i | ||||
\(540\) | −1.62867 | + | 0.417349i | −0.0700870 | + | 0.0179598i | ||||
\(541\) | 13.6807 | + | 9.93961i | 0.588179 | + | 0.427337i | 0.841664 | − | 0.540002i | \(-0.181577\pi\) |
−0.253484 | + | 0.967339i | \(0.581577\pi\) | |||||||
\(542\) | −10.4558 | + | 3.39730i | −0.449115 | + | 0.145926i | ||||
\(543\) | − | 1.66292i | − | 0.0713626i | ||||||
\(544\) | 0.233423 | + | 0.718401i | 0.0100079 | + | 0.0308012i | ||||
\(545\) | −24.0712 | − | 19.9327i | −1.03110 | − | 0.853823i | ||||
\(546\) | −2.63826 | + | 8.11972i | −0.112907 | + | 0.347492i | ||||
\(547\) | 9.05498 | + | 2.94214i | 0.387163 | + | 0.125797i | 0.496129 | − | 0.868249i | \(-0.334754\pi\) |
−0.108967 | + | 0.994045i | \(0.534754\pi\) | |||||||
\(548\) | 3.03351 | + | 4.17527i | 0.129585 | + | 0.178359i | ||||
\(549\) | −4.11836 | −0.175767 | ||||||||
\(550\) | 14.6048 | + | 6.88943i | 0.622751 | + | 0.293766i | ||||
\(551\) | −8.85420 | −0.377202 | ||||||||
\(552\) | −4.40884 | − | 6.06825i | −0.187653 | − | 0.258282i | ||||
\(553\) | 4.35859 | + | 1.41619i | 0.185346 | + | 0.0602227i | ||||
\(554\) | −14.9457 | + | 45.9982i | −0.634983 | + | 1.95428i | ||||
\(555\) | −2.68704 | + | 1.70346i | −0.114059 | + | 0.0723079i | ||||
\(556\) | −3.00352 | − | 9.24389i | −0.127378 | − | 0.392028i | ||||
\(557\) | − | 33.4797i | − | 1.41858i | −0.704916 | − | 0.709291i | \(-0.749015\pi\) | ||
0.704916 | − | 0.709291i | \(-0.250985\pi\) | |||||||
\(558\) | 0.762560 | − | 0.247771i | 0.0322817 | − | 0.0104890i | ||||
\(559\) | −49.3939 | − | 35.8868i | −2.08914 | − | 1.51785i | ||||
\(560\) | −7.04292 | + | 8.50521i | −0.297618 | + | 0.359411i | ||||
\(561\) | −0.293664 | + | 0.213360i | −0.0123985 | + | 0.00900805i | ||||
\(562\) | 18.0068 | − | 24.7843i | 0.759572 | − | 1.04546i | ||||
\(563\) | 5.48023 | − | 7.54289i | 0.230964 | − | 0.317895i | −0.677767 | − | 0.735277i | \(-0.737052\pi\) |
0.908731 | + | 0.417382i | \(0.137052\pi\) | |||||||
\(564\) | −1.98580 | + | 1.44277i | −0.0836171 | + | 0.0607514i | ||||
\(565\) | −2.69785 | + | 3.25800i | −0.113500 | + | 0.137065i | ||||
\(566\) | 22.0730 | + | 16.0370i | 0.927798 | + | 0.674085i | ||||
\(567\) | 0.951057 | − | 0.309017i | 0.0399406 | − | 0.0129775i | ||||
\(568\) | 25.4590i | 1.06823i | ||||||||
\(569\) | 6.11334 | + | 18.8149i | 0.256285 | + | 0.788763i | 0.993574 | + | 0.113186i | \(0.0361055\pi\) |
−0.737289 | + | 0.675577i | \(0.763894\pi\) | |||||||
\(570\) | 10.4407 | − | 6.61891i | 0.437312 | − | 0.277236i | ||||
\(571\) | −14.3262 | + | 44.0916i | −0.599534 | + | 1.84518i | −0.0688121 | + | 0.997630i | \(0.521921\pi\) |
−0.530722 | + | 0.847546i | \(0.678079\pi\) | |||||||
\(572\) | 7.16510 | + | 2.32808i | 0.299588 | + | 0.0973420i | ||||
\(573\) | 6.76776 | + | 9.31502i | 0.282727 | + | 0.389140i | ||||
\(574\) | 10.8612 | 0.453337 | ||||||||
\(575\) | 8.71133 | + | 15.8815i | 0.363288 | + | 0.662305i | ||||
\(576\) | 3.15609 | 0.131504 | ||||||||
\(577\) | 28.0285 | + | 38.5779i | 1.16684 | + | 1.60602i | 0.681829 | + | 0.731512i | \(0.261185\pi\) |
0.485012 | + | 0.874507i | \(0.338815\pi\) | |||||||
\(578\) | −26.7659 | − | 8.69678i | −1.11332 | − | 0.361738i | ||||
\(579\) | 7.86249 | − | 24.1983i | 0.326754 | − | 1.00565i | ||||
\(580\) | −3.44047 | − | 2.84895i | −0.142858 | − | 0.118296i | ||||
\(581\) | 2.18111 | + | 6.71275i | 0.0904875 | + | 0.278492i | ||||
\(582\) | − | 22.9325i | − | 0.950583i | ||||||
\(583\) | −15.7187 | + | 5.10730i | −0.651001 | + | 0.211523i | ||||
\(584\) | −24.2404 | − | 17.6117i | −1.00308 | − | 0.728777i | ||||
\(585\) | −11.1479 | + | 2.85666i | −0.460909 | + | 0.118108i | ||||
\(586\) | −26.6245 | + | 19.3438i | −1.09985 | + | 0.799086i | ||||
\(587\) | 4.99372 | − | 6.87326i | 0.206113 | − | 0.283690i | −0.693429 | − | 0.720525i | \(-0.743901\pi\) |
0.899541 | + | 0.436835i | \(0.143901\pi\) | |||||||
\(588\) | −0.441955 | + | 0.608299i | −0.0182259 | + | 0.0250858i | ||||
\(589\) | −1.30315 | + | 0.946795i | −0.0536954 | + | 0.0390120i | ||||
\(590\) | 1.66124 | − | 26.2063i | 0.0683922 | − | 1.07890i | ||||
\(591\) | 2.55984 | + | 1.85983i | 0.105298 | + | 0.0765033i | ||||
\(592\) | −6.68258 | + | 2.17130i | −0.274653 | + | 0.0892400i | ||||
\(593\) | − | 5.71671i | − | 0.234757i | −0.993087 | − | 0.117378i | \(-0.962551\pi\) | ||
0.993087 | − | 0.117378i | \(-0.0374491\pi\) | |||||||
\(594\) | −0.998014 | − | 3.07157i | −0.0409490 | − | 0.126028i | ||||
\(595\) | 0.103489 | + | 0.403859i | 0.00424265 | + | 0.0165566i | ||||
\(596\) | −4.57517 | + | 14.0809i | −0.187406 | + | 0.576778i | ||||
\(597\) | −18.4219 | − | 5.98564i | −0.753958 | − | 0.244976i | ||||
\(598\) | 18.1800 | + | 25.0226i | 0.743434 | + | 1.02325i | ||||
\(599\) | −12.9108 | −0.527523 | −0.263761 | − | 0.964588i | \(-0.584963\pi\) | ||||
−0.263761 | + | 0.964588i | \(0.584963\pi\) | |||||||
\(600\) | −10.2694 | − | 1.30723i | −0.419247 | − | 0.0533674i | ||||
\(601\) | −3.75945 | −0.153351 | −0.0766757 | − | 0.997056i | \(-0.524431\pi\) | ||||
−0.0766757 | + | 0.997056i | \(0.524431\pi\) | |||||||
\(602\) | −11.5673 | − | 15.9210i | −0.471448 | − | 0.648893i | ||||
\(603\) | 0.483317 | + | 0.157039i | 0.0196822 | + | 0.00639513i | ||||
\(604\) | 3.64096 | − | 11.2057i | 0.148149 | − | 0.455954i | ||||
\(605\) | 5.94177 | − | 14.9864i | 0.241567 | − | 0.609284i | ||||
\(606\) | −6.64458 | − | 20.4499i | −0.269918 | − | 0.830721i | ||||
\(607\) | − | 40.0694i | − | 1.62637i | −0.582008 | − | 0.813183i | \(-0.697733\pi\) | ||
0.582008 | − | 0.813183i | \(-0.302267\pi\) | |||||||
\(608\) | 12.8410 | − | 4.17228i | 0.520769 | − | 0.169208i | ||||
\(609\) | 2.14942 | + | 1.56164i | 0.0870989 | + | 0.0632810i | ||||
\(610\) | 14.2011 | + | 5.63041i | 0.574986 | + | 0.227969i | ||||
\(611\) | −13.5923 | + | 9.87540i | −0.549886 | + | 0.399516i | ||||
\(612\) | −0.0824012 | + | 0.113415i | −0.00333087 | + | 0.00458455i | ||||
\(613\) | 9.86789 | − | 13.5820i | 0.398560 | − | 0.548571i | −0.561822 | − | 0.827258i | \(-0.689899\pi\) |
0.960382 | + | 0.278687i | \(0.0898993\pi\) | |||||||
\(614\) | −16.5098 | + | 11.9950i | −0.666279 | + | 0.484080i | ||||
\(615\) | 7.83873 | + | 12.3648i | 0.316088 | + | 0.498598i | ||||
\(616\) | −3.26108 | − | 2.36932i | −0.131393 | − | 0.0954624i | ||||
\(617\) | 32.4125 | − | 10.5315i | 1.30488 | − | 0.423981i | 0.427603 | − | 0.903967i | \(-0.359358\pi\) |
0.877276 | + | 0.479986i | \(0.159358\pi\) | |||||||
\(618\) | 13.4090i | 0.539389i | ||||||||
\(619\) | −5.81353 | − | 17.8922i | −0.233666 | − | 0.719149i | −0.997296 | − | 0.0734947i | \(-0.976585\pi\) |
0.763630 | − | 0.645654i | \(-0.223415\pi\) | |||||||
\(620\) | −0.811007 | − | 0.0514105i | −0.0325708 | − | 0.00206470i | ||||
\(621\) | 1.11949 | − | 3.44545i | 0.0449238 | − | 0.138261i | ||||
\(622\) | 34.5238 | + | 11.2175i | 1.38428 | + | 0.449779i | ||||
\(623\) | 3.91533 | + | 5.38898i | 0.156864 | + | 0.215905i | ||||
\(624\) | −25.4161 | −1.01746 | ||||||||
\(625\) | 24.2027 | + | 6.26318i | 0.968110 | + | 0.250527i | ||||
\(626\) | 45.8158 | 1.83117 | ||||||||
\(627\) | 3.81367 | + | 5.24906i | 0.152303 | + | 0.209627i | ||||
\(628\) | −8.13881 | − | 2.64446i | −0.324774 | − | 0.105525i | ||||
\(629\) | −0.0819758 | + | 0.252295i | −0.00326859 | + | 0.0100597i | ||||
\(630\) | −3.70195 | − | 0.234670i | −0.147489 | − | 0.00934947i | ||||
\(631\) | 11.7153 | + | 36.0558i | 0.466377 | + | 1.43536i | 0.857243 | + | 0.514912i | \(0.172176\pi\) |
−0.390866 | + | 0.920448i | \(0.627824\pi\) | |||||||
\(632\) | 9.48869i | 0.377440i | ||||||||
\(633\) | 15.4787 | − | 5.02934i | 0.615224 | − | 0.199898i | ||||
\(634\) | −36.0581 | − | 26.1977i | −1.43205 | − | 1.04045i | ||||
\(635\) | 8.01900 | + | 12.6492i | 0.318224 | + | 0.501967i | ||||
\(636\) | −5.16402 | + | 3.75188i | −0.204767 | + | 0.148772i | ||||
\(637\) | −3.02508 | + | 4.16367i | −0.119858 | + | 0.164970i | ||||
\(638\) | 5.04355 | − | 6.94185i | 0.199676 | − | 0.274831i | ||||
\(639\) | −9.94792 | + | 7.22759i | −0.393534 | + | 0.285919i | ||||
\(640\) | −27.7259 | − | 10.9927i | −1.09596 | − | 0.434523i | ||||
\(641\) | −33.4568 | − | 24.3078i | −1.32147 | − | 0.960101i | −0.999913 | − | 0.0132093i | \(-0.995795\pi\) |
−0.321553 | − | 0.946892i | \(-0.604205\pi\) | |||||||
\(642\) | 11.8322 | − | 3.84453i | 0.466981 | − | 0.151731i | ||||
\(643\) | 29.1043i | 1.14776i | 0.818939 | + | 0.573881i | \(0.194563\pi\) | ||||
−0.818939 | + | 0.573881i | \(0.805437\pi\) | |||||||
\(644\) | 0.841747 | + | 2.59063i | 0.0331695 | + | 0.102085i | ||||
\(645\) | 9.77681 | − | 24.6592i | 0.384962 | − | 0.970956i | ||||
\(646\) | 0.318522 | − | 0.980311i | 0.0125321 | − | 0.0385698i | ||||
\(647\) | 23.1059 | + | 7.50758i | 0.908388 | + | 0.295153i | 0.725695 | − | 0.688017i | \(-0.241518\pi\) |
0.182693 | + | 0.983170i | \(0.441518\pi\) | |||||||
\(648\) | 1.21698 | + | 1.67503i | 0.0478076 | + | 0.0658016i | ||||
\(649\) | 13.7820 | 0.540992 | ||||||||
\(650\) | 42.3462 | + | 5.39039i | 1.66095 | + | 0.211428i | ||||
\(651\) | 0.483338 | 0.0189435 | ||||||||
\(652\) | 9.82190 | + | 13.5187i | 0.384655 | + | 0.529433i | ||||
\(653\) | 14.3375 | + | 4.65855i | 0.561071 | + | 0.182303i | 0.575803 | − | 0.817588i | \(-0.304689\pi\) |
−0.0147318 | + | 0.999891i | \(0.504689\pi\) | |||||||
\(654\) | 7.16477 | − | 22.0509i | 0.280165 | − | 0.862259i | ||||
\(655\) | −8.73482 | − | 34.0870i | −0.341298 | − | 1.33189i | ||||
\(656\) | 9.99157 | + | 30.7509i | 0.390105 | + | 1.20062i | ||||
\(657\) | − | 14.4716i | − | 0.564591i | ||||||
\(658\) | −5.15039 | + | 1.67346i | −0.200783 | + | 0.0652384i | ||||
\(659\) | 11.6412 | + | 8.45780i | 0.453475 | + | 0.329469i | 0.790966 | − | 0.611860i | \(-0.209578\pi\) |
−0.337491 | + | 0.941329i | \(0.609578\pi\) | |||||||
\(660\) | −0.207080 | + | 3.26672i | −0.00806059 | + | 0.127157i | ||||
\(661\) | 19.4767 | − | 14.1507i | 0.757558 | − | 0.550398i | −0.140603 | − | 0.990066i | \(-0.544904\pi\) |
0.898160 | + | 0.439668i | \(0.144904\pi\) | |||||||
\(662\) | 19.8068 | − | 27.2617i | 0.769814 | − | 1.05956i | ||||
\(663\) | −0.564017 | + | 0.776303i | −0.0219046 | + | 0.0301491i | ||||
\(664\) | −11.8227 | + | 8.58972i | −0.458811 | + | 0.333346i | ||||
\(665\) | 7.21873 | − | 1.84980i | 0.279930 | − | 0.0717323i | ||||
\(666\) | −1.90951 | − | 1.38734i | −0.0739920 | − | 0.0537583i | ||||
\(667\) | 9.15397 | − | 2.97431i | 0.354443 | − | 0.115166i | ||||
\(668\) | 1.44452i | 0.0558902i | ||||||||
\(669\) | 1.96084 | + | 6.03486i | 0.0758106 | + | 0.233321i | ||||
\(670\) | −1.45190 | − | 1.20228i | −0.0560917 | − | 0.0464479i | ||||
\(671\) | −2.47768 | + | 7.62550i | −0.0956496 | + | 0.294379i | ||||
\(672\) | −3.85311 | − | 1.25195i | −0.148637 | − | 0.0482951i | ||||
\(673\) | −21.3663 | − | 29.4081i | −0.823609 | − | 1.13360i | −0.989079 | − | 0.147386i | \(-0.952914\pi\) |
0.165470 | − | 0.986215i | \(-0.447086\pi\) | |||||||
\(674\) | 36.3905 | 1.40171 | ||||||||
\(675\) | −2.40461 | − | 4.38382i | −0.0925535 | − | 0.168733i | ||||
\(676\) | 10.1410 | 0.390040 | ||||||||
\(677\) | −14.2618 | − | 19.6297i | −0.548126 | − | 0.754430i | 0.441631 | − | 0.897197i | \(-0.354400\pi\) |
−0.989756 | + | 0.142767i | \(0.954400\pi\) | |||||||
\(678\) | −2.98455 | − | 0.969739i | −0.114621 | − | 0.0372426i | ||||
\(679\) | 4.27187 | − | 13.1475i | 0.163939 | − | 0.504553i | ||||
\(680\) | −0.729035 | + | 0.462175i | −0.0279572 | + | 0.0177236i | ||||
\(681\) | 8.28681 | + | 25.5042i | 0.317551 | + | 0.977323i | ||||
\(682\) | − | 1.56101i | − | 0.0597742i | ||||||
\(683\) | 20.6000 | − | 6.69334i | 0.788236 | − | 0.256114i | 0.112883 | − | 0.993608i | \(-0.463991\pi\) |
0.675353 | + | 0.737495i | \(0.263991\pi\) | |||||||
\(684\) | 2.02723 | + | 1.47287i | 0.0775130 | + | 0.0563165i | ||||
\(685\) | −9.78881 | + | 11.8212i | −0.374011 | + | 0.451666i | ||||
\(686\) | −1.34207 | + | 0.975068i | −0.0512403 | + | 0.0372283i | ||||
\(687\) | −1.37453 | + | 1.89188i | −0.0524416 | + | 0.0721796i | ||||
\(688\) | 34.4355 | − | 47.3964i | 1.31284 | − | 1.80697i | ||||
\(689\) | −35.3466 | + | 25.6808i | −1.34660 | + | 0.978360i | ||||
\(690\) | −8.57074 | + | 10.3502i | −0.326282 | + | 0.394027i | ||||
\(691\) | 34.1964 | + | 24.8452i | 1.30089 | + | 0.945154i | 0.999964 | − | 0.00849235i | \(-0.00270323\pi\) |
0.300929 | + | 0.953646i | \(0.402703\pi\) | |||||||
\(692\) | −8.42570 | + | 2.73768i | −0.320297 | + | 0.104071i | ||||
\(693\) | − | 1.94688i | − | 0.0739557i | ||||||
\(694\) | 8.33621 | + | 25.6562i | 0.316438 | + | 0.973897i | ||||
\(695\) | 24.4127 | − | 15.4765i | 0.926027 | − | 0.587059i | ||||
\(696\) | −1.69986 | + | 5.23162i | −0.0644328 | + | 0.198304i | ||||
\(697\) | 1.16097 | + | 0.377223i | 0.0439750 | + | 0.0142884i | ||||
\(698\) | 0.353602 | + | 0.486691i | 0.0133840 | + | 0.0184215i | ||||
\(699\) | 3.50467 | 0.132559 | ||||||||
\(700\) | 3.40017 | + | 1.60394i | 0.128514 | + | 0.0606233i | ||||
\(701\) | −17.5585 | −0.663177 | −0.331589 | − | 0.943424i | \(-0.607585\pi\) | ||||
−0.331589 | + | 0.943424i | \(0.607585\pi\) | |||||||
\(702\) | −5.01826 | − | 6.90704i | −0.189402 | − | 0.260690i | ||||
\(703\) | 4.50962 | + | 1.46526i | 0.170084 | + | 0.0552635i | ||||
\(704\) | 1.89876 | − | 5.84377i | 0.0715621 | − | 0.220245i | ||||
\(705\) | −5.62228 | − | 4.65565i | −0.211747 | − | 0.175342i | ||||
\(706\) | −2.56988 | − | 7.90929i | −0.0967189 | − | 0.297670i | ||||
\(707\) | − | 12.9619i | − | 0.487483i | ||||||
\(708\) | 5.06222 | − | 1.64481i | 0.190250 | − | 0.0618159i | ||||
\(709\) | 9.84227 | + | 7.15083i | 0.369634 | + | 0.268555i | 0.757059 | − | 0.653346i | \(-0.226635\pi\) |
−0.387425 | + | 0.921901i | \(0.626635\pi\) | |||||||
\(710\) | 44.1841 | − | 11.3222i | 1.65820 | − | 0.424915i | ||||
\(711\) | −3.70764 | + | 2.69376i | −0.139047 | + | 0.101024i | ||||
\(712\) | −8.10651 | + | 11.1577i | −0.303804 | + | 0.418151i | ||||
\(713\) | 1.02922 | − | 1.41661i | 0.0385447 | − | 0.0530523i | ||||
\(714\) | −0.250224 | + | 0.181798i | −0.00936440 | + | 0.00680364i | ||||
\(715\) | −1.41742 | + | 22.3599i | −0.0530084 | + | 0.836214i | ||||
\(716\) | 6.25204 | + | 4.54238i | 0.233650 | + | 0.169757i | ||||
\(717\) | 0.139282 | − | 0.0452554i | 0.00520157 | − | 0.00169009i | ||||
\(718\) | − | 24.7060i | − | 0.922020i | ||||||
\(719\) | 8.47650 | + | 26.0880i | 0.316120 | + | 0.972918i | 0.975291 | + | 0.220925i | \(0.0709075\pi\) |
−0.659171 | + | 0.751993i | \(0.729093\pi\) | |||||||
\(720\) | −2.74113 | − | 10.6971i | −0.102156 | − | 0.398656i | ||||
\(721\) | −2.49783 | + | 7.68752i | −0.0930239 | + | 0.286298i | ||||
\(722\) | 12.4537 | + | 4.04647i | 0.463480 | + | 0.150594i | ||||
\(723\) | −15.6253 | − | 21.5063i | −0.581110 | − | 0.799830i | ||||
\(724\) | −1.25034 | −0.0464687 | ||||||||
\(725\) | 5.66751 | − | 12.0145i | 0.210486 | − | 0.446207i | ||||
\(726\) | 11.9600 | 0.443878 | ||||||||
\(727\) | 22.8616 | + | 31.4663i | 0.847890 | + | 1.16702i | 0.984324 | + | 0.176372i | \(0.0564360\pi\) |
−0.136433 | + | 0.990649i | \(0.543564\pi\) | |||||||
\(728\) | −10.1342 | − | 3.29281i | −0.375600 | − | 0.122040i | ||||
\(729\) | −0.309017 | + | 0.951057i | −0.0114451 | + | 0.0352243i | ||||
\(730\) | −19.7848 | + | 49.9016i | −0.732270 | + | 1.84694i | ||||
\(731\) | −0.683495 | − | 2.10358i | −0.0252800 | − | 0.0778037i | ||||
\(732\) | 3.09659i | 0.114453i | ||||||||
\(733\) | 14.4556 | − | 4.69690i | 0.533929 | − | 0.173484i | −0.0296284 | − | 0.999561i | \(-0.509432\pi\) |
0.563557 | + | 0.826077i | \(0.309432\pi\) | |||||||
\(734\) | −17.7191 | − | 12.8737i | −0.654023 | − | 0.475176i | ||||
\(735\) | −2.07865 | − | 0.824138i | −0.0766723 | − | 0.0303988i | ||||
\(736\) | −11.8742 | + | 8.62708i | −0.437687 | + | 0.317998i | ||||
\(737\) | 0.581543 | − | 0.800426i | 0.0214214 | − | 0.0294841i | ||||
\(738\) | −6.38404 | + | 8.78688i | −0.235000 | + | 0.323450i | ||||
\(739\) | 13.1047 | − | 9.52115i | 0.482066 | − | 0.350241i | −0.320059 | − | 0.947398i | \(-0.603703\pi\) |
0.802125 | + | 0.597156i | \(0.203703\pi\) | |||||||
\(740\) | 1.28083 | + | 2.02038i | 0.0470843 | + | 0.0742708i | ||||
\(741\) | 13.8759 | + | 10.0814i | 0.509745 | + | 0.370351i | ||||
\(742\) | −13.3935 | + | 4.35181i | −0.491691 | + | 0.159760i | ||||
\(743\) | 31.0976i | 1.14086i | 0.821346 | + | 0.570431i | \(0.193224\pi\) | ||||
−0.821346 | + | 0.570431i | \(0.806776\pi\) | |||||||
\(744\) | 0.309243 | + | 0.951752i | 0.0113374 | + | 0.0348929i | ||||
\(745\) | −43.9420 | − | 2.78553i | −1.60991 | − | 0.102054i | ||||
\(746\) | 8.35060 | − | 25.7005i | 0.305737 | − | 0.940963i | ||||
\(747\) | −6.71275 | − | 2.18111i | −0.245607 | − | 0.0798025i | ||||
\(748\) | 0.160425 | + | 0.220806i | 0.00586571 | + | 0.00807346i | ||||
\(749\) | 7.49971 | 0.274033 | ||||||||
\(750\) | 2.29836 | + | 18.4039i | 0.0839241 | + | 0.672017i | ||||
\(751\) | −48.2259 | −1.75979 | −0.879894 | − | 0.475171i | \(-0.842386\pi\) | ||||
−0.879894 | + | 0.475171i | \(0.842386\pi\) | |||||||
\(752\) | −9.47603 | − | 13.0426i | −0.345555 | − | 0.475616i | ||||
\(753\) | 16.5216 | + | 5.36818i | 0.602079 | + | 0.195627i | ||||
\(754\) | 7.00939 | − | 21.5727i | 0.255267 | − | 0.785631i | ||||
\(755\) | 34.9694 | + | 2.21674i | 1.27267 | + | 0.0806755i | ||||
\(756\) | −0.232349 | − | 0.715098i | −0.00845047 | − | 0.0260079i | ||||
\(757\) | − | 20.6444i | − | 0.750335i | −0.926957 | − | 0.375167i | \(-0.877585\pi\) | ||
0.926957 | − | 0.375167i | \(-0.122415\pi\) | |||||||
\(758\) | 50.6786 | − | 16.4665i | 1.84073 | − | 0.598089i | ||||
\(759\) | −5.70605 | − | 4.14569i | −0.207116 | − | 0.150479i | ||||
\(760\) | 8.26108 | + | 13.0310i | 0.299661 | + | 0.472685i | ||||
\(761\) | 11.5424 | − | 8.38607i | 0.418413 | − | 0.303995i | −0.358586 | − | 0.933497i | \(-0.616741\pi\) |
0.776999 | + | 0.629502i | \(0.216741\pi\) | |||||||
\(762\) | −6.53086 | + | 8.98896i | −0.236588 | + | 0.325636i | ||||
\(763\) | 8.21528 | − | 11.3074i | 0.297413 | − | 0.409354i | ||||
\(764\) | 7.00395 | − | 5.08867i | 0.253394 | − | 0.184102i | ||||
\(765\) | −0.387559 | − | 0.153658i | −0.0140122 | − | 0.00555552i | ||||
\(766\) | −30.3558 | − | 22.0548i | −1.09680 | − | 0.796872i | ||||
\(767\) | 34.6497 | − | 11.2584i | 1.25113 | − | 0.406517i | ||||
\(768\) | − | 15.8147i | − | 0.570663i | ||||||
\(769\) | −0.793305 | − | 2.44154i | −0.0286073 | − | 0.0880442i | 0.935733 | − | 0.352708i | \(-0.114739\pi\) |
−0.964341 | + | 0.264664i | \(0.914739\pi\) | |||||||
\(770\) | −2.66167 | + | 6.71330i | −0.0959199 | + | 0.241931i | ||||
\(771\) | 5.86632 | − | 18.0547i | 0.211270 | − | 0.650224i | ||||
\(772\) | −18.1946 | − | 5.91179i | −0.654839 | − | 0.212770i | ||||
\(773\) | −29.9214 | − | 41.1832i | −1.07620 | − | 1.48126i | −0.863640 | − | 0.504110i | \(-0.831821\pi\) |
−0.212558 | − | 0.977149i | \(-0.568179\pi\) | |||||||
\(774\) | 19.6795 | 0.707364 | ||||||||
\(775\) | −0.450591 | − | 2.37431i | −0.0161857 | − | 0.0852879i | ||||
\(776\) | 28.6221 | 1.02747 | ||||||||
\(777\) | −0.836308 | − | 1.15108i | −0.0300024 | − | 0.0412948i | ||||
\(778\) | 0.355024 | + | 0.115354i | 0.0127282 | + | 0.00413565i | ||||
\(779\) | 6.74263 | − | 20.7517i | 0.241580 | − | 0.743506i | ||||
\(780\) | 2.14792 | + | 8.38209i | 0.0769078 | + | 0.300127i | ||||
\(781\) | 7.39768 | + | 22.7677i | 0.264710 | + | 0.814693i | ||||
\(782\) | 1.12050i | 0.0400690i | ||||||||
\(783\) | −2.52679 | + | 0.821005i | −0.0903003 | + | 0.0293403i | ||||
\(784\) | −3.99529 | − | 2.90275i | −0.142689 | − | 0.103669i | ||||
\(785\) | 1.61004 | − | 25.3986i | 0.0574648 | − | 0.906515i | ||||
\(786\) | 21.1197 | − | 15.3444i | 0.753315 | − | 0.547315i | ||||
\(787\) | 12.2380 | − | 16.8441i | 0.436237 | − | 0.600429i | −0.533134 | − | 0.846031i | \(-0.678986\pi\) |
0.969371 | + | 0.245602i | \(0.0789857\pi\) | |||||||
\(788\) | 1.39841 | − | 1.92474i | 0.0498162 | − | 0.0685661i | ||||
\(789\) | 20.1624 | − | 14.6489i | 0.717801 | − | 0.521513i | ||||
\(790\) | 16.4676 | − | 4.21984i | 0.585892 | − | 0.150135i | ||||
\(791\) | −1.53043 | − | 1.11192i | −0.0544159 | − | 0.0395354i | ||||
\(792\) | 3.83363 | − | 1.24562i | 0.136222 | − | 0.0442613i | ||||
\(793\) | 21.1954i | 0.752672i | ||||||||
\(794\) | 3.74148 | + | 11.5151i | 0.132780 | + | 0.408656i | ||||
\(795\) | −14.6206 | − | 12.1069i | −0.518540 | − | 0.429388i | ||||
\(796\) | −4.50059 | + | 13.8514i | −0.159519 | + | 0.490950i | ||||
\(797\) | 35.9654 | + | 11.6859i | 1.27396 | + | 0.413935i | 0.866449 | − | 0.499266i | \(-0.166397\pi\) |
0.407511 | + | 0.913200i | \(0.366397\pi\) | |||||||
\(798\) | 3.24953 | + | 4.47260i | 0.115032 | + | 0.158328i | ||||
\(799\) | −0.608658 | −0.0215328 | ||||||||
\(800\) | −2.55794 | + | 20.0948i | −0.0904368 | + | 0.710460i | ||||
\(801\) | −6.66115 | −0.235360 | ||||||||
\(802\) | −32.1794 | − | 44.2911i | −1.13629 | − | 1.56397i | ||||
\(803\) | −26.7955 | − | 8.70637i | −0.945591 | − | 0.307241i | ||||
\(804\) | 0.118077 | − | 0.363405i | 0.00416427 | − | 0.0128163i | ||||
\(805\) | −6.84174 | + | 4.33735i | −0.241140 | + | 0.152871i | ||||
\(806\) | −1.27517 | − | 3.92457i | −0.0449160 | − | 0.138237i | ||||
\(807\) | − | 19.8854i | − | 0.699999i | ||||||
\(808\) | 25.5236 | − | 8.29311i | 0.897916 | − | 0.291750i | ||||
\(809\) | −17.2860 | − | 12.5590i | −0.607742 | − | 0.441550i | 0.240877 | − | 0.970556i | \(-0.422565\pi\) |
−0.848618 | + | 0.529006i | \(0.822565\pi\) | |||||||
\(810\) | 2.36580 | − | 2.85700i | 0.0831258 | − | 0.100385i | ||||
\(811\) | 32.5689 | − | 23.6627i | 1.14365 | − | 0.830909i | 0.156025 | − | 0.987753i | \(-0.450132\pi\) |
0.987623 | + | 0.156844i | \(0.0501320\pi\) | |||||||
\(812\) | 1.17420 | − | 1.61615i | 0.0412063 | − | 0.0567156i | ||||
\(813\) | 3.89541 | − | 5.36158i | 0.136618 | − | 0.188039i | ||||
\(814\) | −3.71758 | + | 2.70098i | −0.130301 | + | 0.0946692i | ||||
\(815\) | −31.6942 | + | 38.2747i | −1.11020 | + | 1.34071i | ||||
\(816\) | −0.744909 | − | 0.541208i | −0.0260770 | − | 0.0189461i | ||||
\(817\) | −37.6002 | + | 12.2170i | −1.31546 | + | 0.427420i | ||||
\(818\) | 42.6123i | 1.48990i | ||||||||
\(819\) | −1.59038 | − | 4.89468i | −0.0555723 | − | 0.171034i | ||||
\(820\) | 9.29709 | − | 5.89393i | 0.324668 | − | 0.205825i | ||||
\(821\) | −2.19032 | + | 6.74111i | −0.0764427 | + | 0.235266i | −0.981975 | − | 0.189011i | \(-0.939472\pi\) |
0.905532 | + | 0.424277i | \(0.139472\pi\) | |||||||
\(822\) | −10.8290 | − | 3.51857i | −0.377706 | − | 0.122724i | ||||
\(823\) | 11.5528 | + | 15.9010i | 0.402704 | + | 0.554274i | 0.961420 | − | 0.275085i | \(-0.0887059\pi\) |
−0.558716 | + | 0.829359i | \(0.688706\pi\) | |||||||
\(824\) | −16.7358 | −0.583018 | ||||||||
\(825\) | −9.56368 | + | 1.81497i | −0.332965 | + | 0.0631891i | ||||
\(826\) | 11.7433 | 0.408603 | ||||||||
\(827\) | 24.4734 | + | 33.6848i | 0.851025 | + | 1.17134i | 0.983636 | + | 0.180167i | \(0.0576639\pi\) |
−0.132611 | + | 0.991168i | \(0.542336\pi\) | |||||||
\(828\) | −2.59063 | − | 0.841747i | −0.0900306 | − | 0.0292527i | ||||
\(829\) | −12.4273 | + | 38.2472i | −0.431617 | + | 1.32838i | 0.464897 | + | 0.885365i | \(0.346091\pi\) |
−0.896514 | + | 0.443015i | \(0.853909\pi\) | |||||||
\(830\) | 20.1653 | + | 16.6983i | 0.699948 | + | 0.579607i | ||||
\(831\) | −9.00950 | − | 27.7284i | −0.312536 | − | 0.961887i | ||||
\(832\) | − | 16.2430i | − | 0.563126i | ||||||
\(833\) | −0.177322 | + | 0.0576153i | −0.00614383 | + | 0.00199625i | ||||
\(834\) | 17.3485 | + | 12.6045i | 0.600731 | + | 0.436457i | ||||
\(835\) | −4.16140 | + | 1.06636i | −0.144011 | + | 0.0369030i | ||||
\(836\) | 3.94676 | − | 2.86749i | 0.136502 | − | 0.0991742i | ||||
\(837\) | −0.284099 | + | 0.391029i | −0.00981991 | + | 0.0135159i | ||||
\(838\) | 28.5845 | − | 39.3431i | 0.987434 | − | 1.35909i | ||||
\(839\) | 22.9099 | − | 16.6450i | 0.790936 | − | 0.574649i | −0.117305 | − | 0.993096i | \(-0.537425\pi\) |
0.908241 | + | 0.418447i | \(0.137425\pi\) | |||||||
\(840\) | 0.292892 | − | 4.62041i | 0.0101057 | − | 0.159419i | ||||
\(841\) | 17.7509 | + | 12.8968i | 0.612098 | + | 0.444716i | ||||
\(842\) | 16.8451 | − | 5.47329i | 0.580519 | − | 0.188622i | ||||
\(843\) | 18.4673i | 0.636046i | ||||||||
\(844\) | −3.78155 | − | 11.6384i | −0.130166 | − | 0.400611i | ||||
\(845\) | 7.48623 | + | 29.2144i | 0.257534 | + | 1.00501i | ||||
\(846\) | 1.67346 | − | 5.15039i | 0.0575349 | − | 0.177074i | ||||
\(847\) | 6.85681 | + | 2.22791i | 0.235603 | + | 0.0765520i | ||||
\(848\) | −24.6422 | − | 33.9171i | −0.846218 | − | 1.16472i | ||||
\(849\) | −16.4470 | −0.564461 | ||||||||
\(850\) | 1.12632 | + | 1.05970i | 0.0386326 | + | 0.0363474i | ||||
\(851\) | −5.15451 | −0.176694 | ||||||||
\(852\) | 5.43441 | + | 7.47983i | 0.186180 | + | 0.256255i | ||||
\(853\) | −48.4742 | − | 15.7502i | −1.65972 | − | 0.539277i | −0.678910 | − | 0.734222i | \(-0.737547\pi\) |
−0.980814 | + | 0.194945i | \(0.937547\pi\) | |||||||
\(854\) | −2.11117 | + | 6.49750i | −0.0722426 | + | 0.222340i | ||||
\(855\) | −2.74654 | + | 6.92736i | −0.0939296 | + | 0.236911i | ||||
\(856\) | 4.79836 | + | 14.7678i | 0.164005 | + | 0.504754i | ||||
\(857\) | 35.7542i | 1.22134i | 0.791885 | + | 0.610671i | \(0.209100\pi\) | ||||
−0.791885 | + | 0.610671i | \(0.790900\pi\) | |||||||
\(858\) | −15.8081 | + | 5.13636i | −0.539679 | + | 0.175352i | ||||
\(859\) | −15.5083 | − | 11.2675i | −0.529138 | − | 0.384441i | 0.290897 | − | 0.956754i | \(-0.406046\pi\) |
−0.820035 | + | 0.572313i | \(0.806046\pi\) | |||||||
\(860\) | −18.5412 | − | 7.35117i | −0.632251 | − | 0.250673i | ||||
\(861\) | −5.29686 | + | 3.84839i | −0.180517 | + | 0.131153i | ||||
\(862\) | 16.4686 | − | 22.6670i | 0.560921 | − | 0.772042i | ||||
\(863\) | 21.3518 | − | 29.3883i | 0.726825 | − | 1.00039i | −0.272444 | − | 0.962172i | \(-0.587832\pi\) |
0.999269 | − | 0.0382175i | \(-0.0121680\pi\) | |||||||
\(864\) | 3.27765 | − | 2.38135i | 0.111508 | − | 0.0810153i | ||||
\(865\) | −14.1067 | − | 22.2519i | −0.479642 | − | 0.756587i | ||||
\(866\) | −16.3227 | − | 11.8592i | −0.554669 | − | 0.402991i | ||||
\(867\) | 16.1349 | − | 5.24255i | 0.547970 | − | 0.178046i | ||||
\(868\) | − | 0.363422i | − | 0.0123353i | ||||||
\(869\) | 2.75715 | + | 8.48564i | 0.0935300 | + | 0.287856i | ||||
\(870\) | 9.83544 | + | 0.623478i | 0.333453 | + | 0.0211379i | ||||
\(871\) | 0.808213 | − | 2.48743i | 0.0273853 | − | 0.0842832i | ||||
\(872\) | 27.5218 | + | 8.94236i | 0.932005 | + | 0.302827i | ||||
\(873\) | 8.12558 | + | 11.1839i | 0.275009 | + | 0.378518i | ||||
\(874\) | 20.0282 | 0.677464 | ||||||||
\(875\) | −2.11061 | + | 10.9793i | −0.0713517 | + | 0.371169i | ||||
\(876\) | −10.8812 | −0.367641 | ||||||||
\(877\) | 3.02973 | + | 4.17006i | 0.102307 | + | 0.140813i | 0.857101 | − | 0.515149i | \(-0.172263\pi\) |
−0.754794 | + | 0.655962i | \(0.772263\pi\) | |||||||
\(878\) | 4.21184 | + | 1.36851i | 0.142143 | + | 0.0461849i | ||||
\(879\) | 6.13041 | − | 18.8675i | 0.206774 | − | 0.636384i | ||||
\(880\) | −21.4557 | − | 1.36010i | −0.723271 | − | 0.0458488i | ||||
\(881\) | 12.0246 | + | 37.0078i | 0.405118 | + | 1.24682i | 0.920797 | + | 0.390043i | \(0.127540\pi\) |
−0.515679 | + | 0.856782i | \(0.672460\pi\) | |||||||
\(882\) | − | 1.65888i | − | 0.0558576i | ||||||
\(883\) | −3.64423 | + | 1.18408i | −0.122638 | + | 0.0398475i | −0.369693 | − | 0.929154i | \(-0.620537\pi\) |
0.247055 | + | 0.969001i | \(0.420537\pi\) | |||||||
\(884\) | 0.583701 | + | 0.424084i | 0.0196320 | + | 0.0142635i | ||||
\(885\) | 8.47540 | + | 13.3691i | 0.284897 | + | 0.449397i | ||||
\(886\) | 21.2572 | − | 15.4442i | 0.714148 | − | 0.518859i | ||||
\(887\) | 10.0047 | − | 13.7704i | 0.335926 | − | 0.462363i | −0.607320 | − | 0.794458i | \(-0.707755\pi\) |
0.943246 | + | 0.332094i | \(0.107755\pi\) | |||||||
\(888\) | 1.73154 | − | 2.38326i | 0.0581067 | − | 0.0799770i | ||||
\(889\) | −5.41867 | + | 3.93690i | −0.181737 | + | 0.132039i | ||||
\(890\) | 22.9693 | + | 9.10679i | 0.769932 | + | 0.305260i | ||||
\(891\) | 1.57506 | + | 1.14434i | 0.0527663 | + | 0.0383370i | ||||
\(892\) | 4.53760 | − | 1.47436i | 0.151930 | − | 0.0493651i | ||||
\(893\) | 10.8794i | 0.364064i | ||||||||
\(894\) | −10.0940 | − | 31.0662i | −0.337595 | − | 1.03901i | ||||
\(895\) | −8.47042 | + | 21.3642i | −0.283135 | + | 0.714127i | ||||
\(896\) | 4.12179 | − | 12.6856i | 0.137699 | − | 0.423795i | ||||
\(897\) | −17.7323 | − | 5.76156i | −0.592063 | − | 0.192373i | ||||
\(898\) | 16.1237 | + | 22.1924i | 0.538055 | + | 0.740570i | ||||
\(899\) | −1.28415 | −0.0428287 | ||||||||
\(900\) | −3.29619 | + | 1.80802i | −0.109873 | + | 0.0602675i | ||||
\(901\) | −1.58280 | −0.0527308 | ||||||||
\(902\) | 12.4289 | + | 17.1070i | 0.413838 | + | 0.569600i | ||||
\(903\) | 11.2825 | + | 3.66589i | 0.375457 | + | 0.121993i | ||||
\(904\) | 1.21033 | − | 3.72502i | 0.0402551 | − | 0.123892i | ||||
\(905\) | −0.923019 | − | 3.60201i | −0.0306822 | − | 0.119735i | ||||
\(906\) | 8.03291 | + | 24.7227i | 0.266875 | + | 0.821358i | ||||
\(907\) | − | 14.2736i | − | 0.473946i | −0.971516 | − | 0.236973i | \(-0.923845\pi\) | ||
0.971516 | − | 0.236973i | \(-0.0761554\pi\) | |||||||
\(908\) | 19.1766 | − | 6.23084i | 0.636397 | − | 0.206778i | ||||
\(909\) | 10.4864 | + | 7.61882i | 0.347812 | + | 0.252700i | ||||
\(910\) | −1.20775 | + | 19.0524i | −0.0400364 | + | 0.631579i | ||||
\(911\) | −17.4970 | + | 12.7123i | −0.579701 | + | 0.421178i | −0.838616 | − | 0.544722i | \(-0.816635\pi\) |
0.258915 | + | 0.965900i | \(0.416635\pi\) | |||||||
\(912\) | −9.67375 | + | 13.3148i | −0.320330 | + | 0.440896i | ||||
\(913\) | −8.07702 | + | 11.1171i | −0.267310 | + | 0.367921i | ||||
\(914\) | 10.7924 | − | 7.84113i | 0.356981 | − | 0.259362i | ||||
\(915\) | −8.92069 | + | 2.28593i | −0.294909 | + | 0.0755707i | ||||
\(916\) | 1.42250 | + | 1.03351i | 0.0470007 | + | 0.0341480i | ||||
\(917\) | 14.9665 | − | 4.86291i | 0.494237 | − | 0.160587i | ||||
\(918\) | − | 0.309294i | − | 0.0102082i | ||||||
\(919\) | 11.9837 | + | 36.8819i | 0.395305 | + | 1.21662i | 0.928724 | + | 0.370772i | \(0.120907\pi\) |
−0.533419 | + | 0.845851i | \(0.679093\pi\) | |||||||
\(920\) | −12.9182 | − | 10.6972i | −0.425899 | − | 0.352675i | ||||
\(921\) | 3.80145 | − | 11.6997i | 0.125262 | − | 0.385517i | ||||
\(922\) | −23.1321 | − | 7.51608i | −0.761815 | − | 0.247529i | ||||
\(923\) | 37.1973 | + | 51.1977i | 1.22437 | + | 1.68519i | ||||
\(924\) | −1.46385 | −0.0481572 | ||||||||
\(925\) | −4.87483 | + | 5.18131i | −0.160283 | + | 0.170360i | ||||
\(926\) | −53.0268 | −1.74257 | ||||||||
\(927\) | −4.75115 | − | 6.53939i | −0.156048 | − | 0.214782i | ||||
\(928\) | 10.2371 | + | 3.32622i | 0.336048 | + | 0.109189i | ||||
\(929\) | 3.66045 | − | 11.2657i | 0.120095 | − | 0.369616i | −0.872880 | − | 0.487934i | \(-0.837750\pi\) |
0.992976 | + | 0.118319i | \(0.0377505\pi\) | |||||||
\(930\) | 1.51424 | − | 0.959958i | 0.0496539 | − | 0.0314783i | ||||
\(931\) | 1.02984 | + | 3.16951i | 0.0337515 | + | 0.103877i | ||||
\(932\) | − | 2.63516i | − | 0.0863176i | ||||||
\(933\) | −20.8114 | + | 6.76204i | −0.681336 | + | 0.221379i | ||||
\(934\) | 10.7139 | + | 7.78412i | 0.350570 | + | 0.254704i | ||||
\(935\) | −0.517673 | + | 0.625156i | −0.0169297 | + | 0.0204448i | ||||
\(936\) | 8.62069 | − | 6.26330i | 0.281776 | − | 0.204722i | ||||
\(937\) | −2.73337 | + | 3.76215i | −0.0892952 | + | 0.122904i | −0.851327 | − | 0.524635i | \(-0.824202\pi\) |
0.762032 | + | 0.647539i | \(0.224202\pi\) | |||||||
\(938\) | 0.495519 | − | 0.682023i | 0.0161793 | − | 0.0222689i | ||||
\(939\) | −22.3438 | + | 16.2337i | −0.729161 | + | 0.529767i | ||||
\(940\) | −3.50057 | + | 4.22738i | −0.114176 | + | 0.137882i | ||||
\(941\) | −24.7120 | − | 17.9543i | −0.805587 | − | 0.585293i | 0.106961 | − | 0.994263i | \(-0.465888\pi\) |
−0.912548 | + | 0.408970i | \(0.865888\pi\) | |||||||
\(942\) | 17.9563 | − | 5.83437i | 0.585049 | − | 0.190094i | ||||
\(943\) | 23.7192i | 0.772405i | ||||||||
\(944\) | 10.8031 | + | 33.2485i | 0.351611 | + | 1.08215i | ||||
\(945\) | 1.88854 | − | 1.19725i | 0.0614343 | − | 0.0389465i | ||||
\(946\) | 11.8395 | − | 36.4383i | 0.384936 | − | 1.18471i | ||||
\(947\) | 39.3723 | + | 12.7928i | 1.27943 | + | 0.415711i | 0.868379 | − | 0.495902i | \(-0.165162\pi\) |
0.411049 | + | 0.911613i | \(0.365162\pi\) | |||||||
\(948\) | 2.02543 | + | 2.78777i | 0.0657830 | + | 0.0905426i | ||||
\(949\) | −74.4792 | −2.41770 | ||||||||
\(950\) | 18.9415 | − | 20.1323i | 0.614543 | − | 0.653178i | ||||
\(951\) | 26.8676 | 0.871242 | ||||||||
\(952\) | −0.226903 | − | 0.312305i | −0.00735397 | − | 0.0101219i | ||||
\(953\) | 39.7132 | + | 12.9036i | 1.28644 | + | 0.417989i | 0.870843 | − | 0.491561i | \(-0.163574\pi\) |
0.415595 | + | 0.909550i | \(0.363574\pi\) | |||||||
\(954\) | 4.35181 | − | 13.3935i | 0.140895 | − | 0.433630i | ||||
\(955\) | 19.8299 | + | 16.4206i | 0.641681 | + | 0.531357i | ||||
\(956\) | −0.0340275 | − | 0.104726i | −0.00110053 | − | 0.00338707i | ||||
\(957\) | 5.17251i | 0.167204i | ||||||||
\(958\) | −59.7867 | + | 19.4259i | −1.93162 | + | 0.627622i | ||||
\(959\) | −5.55297 | − | 4.03447i | −0.179315 | − | 0.130280i | ||||
\(960\) | 6.83634 | − | 1.75182i | 0.220642 | − | 0.0565397i | ||||
\(961\) | 24.8905 | − | 18.0840i | 0.802920 | − | 0.583356i | ||||
\(962\) | −7.14005 | + | 9.82743i | −0.230204 | + | 0.316849i | ||||
\(963\) | −4.40822 | + | 6.06739i | −0.142053 | + | 0.195519i | ||||
\(964\) | −16.1706 | + | 11.7486i | −0.520820 | + | 0.378398i | ||||
\(965\) | 3.59931 | − | 56.7795i | 0.115866 | − | 1.82780i | ||||
\(966\) | −4.86199 | − | 3.53244i | −0.156432 | − | 0.113654i | ||||
\(967\) | −49.0204 | + | 15.9277i | −1.57639 | + | 0.512200i | −0.961123 | − | 0.276120i | \(-0.910951\pi\) |
−0.615266 | + | 0.788320i | \(0.710951\pi\) | |||||||
\(968\) | 14.9273i | 0.479782i | ||||||||
\(969\) | 0.192010 | + | 0.590946i | 0.00616825 | + | 0.0189839i | ||||
\(970\) | −12.7289 | − | 49.6737i | −0.408701 | − | 1.59493i | ||||
\(971\) | 8.32762 | − | 25.6298i | 0.267246 | − | 0.822498i | −0.723922 | − | 0.689882i | \(-0.757662\pi\) |
0.991167 | − | 0.132616i | \(-0.0423377\pi\) | |||||||
\(972\) | 0.715098 | + | 0.232349i | 0.0229368 | + | 0.00745261i | ||||
\(973\) | 7.59815 | + | 10.4580i | 0.243586 | + | 0.335267i | ||||
\(974\) | −14.0678 | −0.450761 | ||||||||
\(975\) | −22.5616 | + | 12.3755i | −0.722551 | + | 0.396333i | ||||
\(976\) | −20.3383 | −0.651012 | ||||||||
\(977\) | 33.6096 | + | 46.2597i | 1.07527 | + | 1.47998i | 0.864627 | + | 0.502415i | \(0.167555\pi\) |
0.210641 | + | 0.977564i | \(0.432445\pi\) | |||||||
\(978\) | −35.0623 | − | 11.3924i | −1.12117 | − | 0.364290i | ||||
\(979\) | −4.00746 | + | 12.3337i | −0.128079 | + | 0.394187i | ||||
\(980\) | −0.619668 | + | 1.56294i | −0.0197946 | + | 0.0499262i | ||||
\(981\) | 4.31903 | + | 13.2926i | 0.137896 | + | 0.424400i | ||||
\(982\) | − | 40.0665i | − | 1.27857i | ||||||
\(983\) | −41.5281 | + | 13.4933i | −1.32454 | + | 0.430370i | −0.884052 | − | 0.467388i | \(-0.845195\pi\) |
−0.440490 | + | 0.897758i | \(0.645195\pi\) | |||||||
\(984\) | −10.9669 | − | 7.96793i | −0.349613 | − | 0.254008i | ||||
\(985\) | 6.57714 | + | 2.60769i | 0.209565 | + | 0.0830878i | ||||
\(986\) | 0.664803 | − | 0.483007i | 0.0211716 | − | 0.0153821i | ||||
\(987\) | 1.91883 | − | 2.64104i | 0.0610770 | − | 0.0840653i | ||||
\(988\) | 7.58023 | − | 10.4333i | 0.241159 | − | 0.331927i | ||||
\(989\) | 34.7692 | − | 25.2613i | 1.10560 | − | 0.803263i | ||||
\(990\) | −3.86669 | − | 6.09932i | −0.122891 | − | 0.193849i | ||||
\(991\) | −0.160188 | − | 0.116383i | −0.00508854 | − | 0.00369704i | 0.585238 | − | 0.810862i | \(-0.301001\pi\) |
−0.590327 | + | 0.807164i | \(0.701001\pi\) | |||||||
\(992\) | 1.86236 | − | 0.605116i | 0.0591299 | − | 0.0192125i | ||||
\(993\) | 20.3133i | 0.644622i | ||||||||
\(994\) | 6.30338 | + | 19.3998i | 0.199931 | + | 0.615324i | ||||
\(995\) | −43.2257 | − | 2.74012i | −1.37035 | − | 0.0868675i | ||||
\(996\) | −1.63997 | + | 5.04731i | −0.0519644 | + | 0.159930i | ||||
\(997\) | −47.5622 | − | 15.4539i | −1.50631 | − | 0.489430i | −0.564460 | − | 0.825460i | \(-0.690916\pi\) |
−0.941851 | + | 0.336030i | \(0.890916\pi\) | |||||||
\(998\) | −16.6226 | − | 22.8791i | −0.526180 | − | 0.724225i | ||||
\(999\) | 1.42281 | 0.0450158 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 525.2.z.a.64.11 | ✓ | 56 | |
25.9 | even | 10 | inner | 525.2.z.a.484.11 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.z.a.64.11 | ✓ | 56 | 1.1 | even | 1 | trivial | |
525.2.z.a.484.11 | yes | 56 | 25.9 | even | 10 | inner |