Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(11,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.n (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: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 71.20 | ||
Character | \(\chi\) | \(=\) | 300.71 |
Dual form | 300.2.n.a.131.20 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.547980 | + | 1.30373i | −0.387481 | + | 0.921878i | ||||
\(3\) | −0.0437168 | + | 1.73150i | −0.0252399 | + | 0.999681i | ||||
\(4\) | −1.39944 | − | 1.42884i | −0.699718 | − | 0.714419i | ||||
\(5\) | −1.79390 | − | 1.33489i | −0.802257 | − | 0.596979i | ||||
\(6\) | −2.23346 | − | 1.00582i | −0.911804 | − | 0.410625i | ||||
\(7\) | − | 3.04159i | − | 1.14961i | −0.818290 | − | 0.574806i | \(-0.805077\pi\) | ||
0.818290 | − | 0.574806i | \(-0.194923\pi\) | |||||||
\(8\) | 2.62969 | − | 1.04151i | 0.929734 | − | 0.368231i | ||||
\(9\) | −2.99618 | − | 0.151391i | −0.998726 | − | 0.0504637i | ||||
\(10\) | 2.72336 | − | 1.60727i | 0.861201 | − | 0.508265i | ||||
\(11\) | −0.519850 | + | 1.59994i | −0.156741 | + | 0.482399i | −0.998333 | − | 0.0577147i | \(-0.981619\pi\) |
0.841592 | + | 0.540113i | \(0.181619\pi\) | |||||||
\(12\) | 2.53521 | − | 2.36066i | 0.731853 | − | 0.681463i | ||||
\(13\) | −1.88691 | − | 5.80732i | −0.523336 | − | 1.61066i | −0.767584 | − | 0.640949i | \(-0.778541\pi\) |
0.244248 | − | 0.969713i | \(-0.421459\pi\) | |||||||
\(14\) | 3.96542 | + | 1.66673i | 1.05980 | + | 0.445452i | ||||
\(15\) | 2.38978 | − | 3.04778i | 0.617038 | − | 0.786933i | ||||
\(16\) | −0.0831610 | + | 3.99914i | −0.0207903 | + | 0.999784i | ||||
\(17\) | −0.841506 | − | 1.15823i | −0.204095 | − | 0.280913i | 0.694684 | − | 0.719316i | \(-0.255544\pi\) |
−0.898779 | + | 0.438403i | \(0.855544\pi\) | |||||||
\(18\) | 1.83922 | − | 3.82325i | 0.433508 | − | 0.901150i | ||||
\(19\) | −2.14597 | − | 2.95368i | −0.492320 | − | 0.677621i | 0.488494 | − | 0.872568i | \(-0.337547\pi\) |
−0.980814 | + | 0.194947i | \(0.937547\pi\) | |||||||
\(20\) | 0.603110 | + | 4.43128i | 0.134860 | + | 0.990865i | ||||
\(21\) | 5.26651 | + | 0.132969i | 1.14925 | + | 0.0290161i | ||||
\(22\) | −1.80102 | − | 1.55448i | −0.383979 | − | 0.331416i | ||||
\(23\) | −1.33200 | + | 4.09948i | −0.277742 | + | 0.854801i | 0.710739 | + | 0.703456i | \(0.248361\pi\) |
−0.988481 | + | 0.151346i | \(0.951639\pi\) | |||||||
\(24\) | 1.68842 | + | 4.59883i | 0.344647 | + | 0.938732i | ||||
\(25\) | 1.43616 | + | 4.78931i | 0.287231 | + | 0.957861i | ||||
\(26\) | 8.60518 | + | 0.722268i | 1.68762 | + | 0.141648i | ||||
\(27\) | 0.393117 | − | 5.18126i | 0.0756554 | − | 0.997134i | ||||
\(28\) | −4.34594 | + | 4.25651i | −0.821306 | + | 0.804404i | ||||
\(29\) | 1.32412 | − | 1.82249i | 0.245883 | − | 0.338428i | −0.668181 | − | 0.743998i | \(-0.732927\pi\) |
0.914064 | + | 0.405570i | \(0.132927\pi\) | |||||||
\(30\) | 2.66394 | + | 4.78575i | 0.486366 | + | 0.873755i | ||||
\(31\) | 3.80357 | + | 5.23517i | 0.683142 | + | 0.940264i | 0.999966 | − | 0.00822000i | \(-0.00261654\pi\) |
−0.316824 | + | 0.948484i | \(0.602617\pi\) | |||||||
\(32\) | −5.16823 | − | 2.29987i | −0.913623 | − | 0.406563i | ||||
\(33\) | −2.74756 | − | 0.970065i | −0.478289 | − | 0.168867i | ||||
\(34\) | 1.97116 | − | 0.462409i | 0.338050 | − | 0.0793026i | ||||
\(35\) | −4.06018 | + | 5.45631i | −0.686295 | + | 0.922284i | ||||
\(36\) | 3.97664 | + | 4.49292i | 0.662774 | + | 0.748820i | ||||
\(37\) | −3.25448 | − | 10.0162i | −0.535033 | − | 1.64666i | −0.743579 | − | 0.668648i | \(-0.766873\pi\) |
0.208546 | − | 0.978012i | \(-0.433127\pi\) | |||||||
\(38\) | 5.02676 | − | 1.17922i | 0.815448 | − | 0.191294i | ||||
\(39\) | 10.1379 | − | 3.01331i | 1.62336 | − | 0.482516i | ||||
\(40\) | −6.10770 | − | 1.64196i | −0.965712 | − | 0.259617i | ||||
\(41\) | −8.40760 | + | 2.73179i | −1.31305 | + | 0.426635i | −0.880101 | − | 0.474786i | \(-0.842526\pi\) |
−0.432945 | + | 0.901420i | \(0.642526\pi\) | |||||||
\(42\) | −3.05930 | + | 6.79325i | −0.472060 | + | 1.04822i | ||||
\(43\) | 2.84174i | 0.433361i | 0.976243 | + | 0.216681i | \(0.0695230\pi\) | ||||
−0.976243 | + | 0.216681i | \(0.930477\pi\) | |||||||
\(44\) | 3.01355 | − | 1.49622i | 0.454309 | − | 0.225564i | ||||
\(45\) | 5.17275 | + | 4.27114i | 0.771109 | + | 0.636704i | ||||
\(46\) | −4.61472 | − | 3.98301i | −0.680403 | − | 0.587263i | ||||
\(47\) | −5.06530 | − | 3.68016i | −0.738850 | − | 0.536806i | 0.153501 | − | 0.988149i | \(-0.450945\pi\) |
−0.892351 | + | 0.451342i | \(0.850945\pi\) | |||||||
\(48\) | −6.92086 | − | 0.318823i | −0.998941 | − | 0.0460181i | ||||
\(49\) | −2.25126 | −0.321609 | ||||||||
\(50\) | −7.03096 | − | 0.752081i | −0.994328 | − | 0.106360i | ||||
\(51\) | 2.04227 | − | 1.40643i | 0.285975 | − | 0.196940i | ||||
\(52\) | −5.65711 | + | 10.8231i | −0.784501 | + | 1.50089i | ||||
\(53\) | 5.69631 | − | 7.84030i | 0.782448 | − | 1.07695i | −0.212559 | − | 0.977148i | \(-0.568180\pi\) |
0.995008 | − | 0.0997996i | \(-0.0318202\pi\) | |||||||
\(54\) | 6.53956 | + | 3.35175i | 0.889921 | + | 0.456115i | ||||
\(55\) | 3.06829 | − | 2.17618i | 0.413728 | − | 0.293436i | ||||
\(56\) | −3.16786 | − | 7.99842i | −0.423323 | − | 1.06883i | ||||
\(57\) | 5.20811 | − | 3.58663i | 0.689831 | − | 0.475060i | ||||
\(58\) | 1.65045 | + | 2.72499i | 0.216715 | + | 0.357808i | ||||
\(59\) | −3.64876 | − | 11.2297i | −0.475028 | − | 1.46199i | −0.845920 | − | 0.533311i | \(-0.820948\pi\) |
0.370891 | − | 0.928676i | \(-0.379052\pi\) | |||||||
\(60\) | −7.69913 | + | 0.850563i | −0.993953 | + | 0.109807i | ||||
\(61\) | 0.190864 | − | 0.587420i | 0.0244377 | − | 0.0752114i | −0.938094 | − | 0.346381i | \(-0.887410\pi\) |
0.962532 | + | 0.271170i | \(0.0874104\pi\) | |||||||
\(62\) | −8.90954 | + | 2.09007i | −1.13151 | + | 0.265439i | ||||
\(63\) | −0.460470 | + | 9.11314i | −0.0580137 | + | 1.14815i | ||||
\(64\) | 5.83050 | − | 5.47771i | 0.728812 | − | 0.684714i | ||||
\(65\) | −4.36718 | + | 12.9366i | −0.541682 | + | 1.60458i | ||||
\(66\) | 2.77031 | − | 3.05051i | 0.341002 | − | 0.375491i | ||||
\(67\) | 1.22685 | + | 1.68861i | 0.149883 | + | 0.206296i | 0.877356 | − | 0.479840i | \(-0.159305\pi\) |
−0.727473 | + | 0.686136i | \(0.759305\pi\) | |||||||
\(68\) | −0.477296 | + | 2.82325i | −0.0578806 | + | 0.342369i | ||||
\(69\) | −7.04002 | − | 2.48558i | −0.847519 | − | 0.299228i | ||||
\(70\) | −4.88867 | − | 8.28333i | −0.584308 | − | 0.990047i | ||||
\(71\) | −0.331304 | − | 0.240707i | −0.0393186 | − | 0.0285666i | 0.567952 | − | 0.823061i | \(-0.307736\pi\) |
−0.607271 | + | 0.794495i | \(0.707736\pi\) | |||||||
\(72\) | −8.03668 | + | 2.72245i | −0.947132 | + | 0.320844i | ||||
\(73\) | 0.657763 | − | 2.02439i | 0.0769853 | − | 0.236936i | −0.905157 | − | 0.425078i | \(-0.860247\pi\) |
0.982142 | + | 0.188142i | \(0.0602465\pi\) | |||||||
\(74\) | 14.8419 | + | 1.24574i | 1.72533 | + | 0.144814i | ||||
\(75\) | −8.35546 | + | 2.27733i | −0.964806 | + | 0.262964i | ||||
\(76\) | −1.21718 | + | 7.19974i | −0.139620 | + | 0.825866i | ||||
\(77\) | 4.86635 | + | 1.58117i | 0.554572 | + | 0.180191i | ||||
\(78\) | −1.62680 | + | 14.8683i | −0.184199 | + | 1.68350i | ||||
\(79\) | −8.14442 | + | 11.2098i | −0.916318 | + | 1.26120i | 0.0486441 | + | 0.998816i | \(0.484510\pi\) |
−0.964962 | + | 0.262388i | \(0.915490\pi\) | |||||||
\(80\) | 5.48757 | − | 7.06304i | 0.613529 | − | 0.789672i | ||||
\(81\) | 8.95416 | + | 0.907190i | 0.994907 | + | 0.100799i | ||||
\(82\) | 1.04567 | − | 12.4582i | 0.115475 | − | 1.37578i | ||||
\(83\) | −5.79636 | + | 4.21130i | −0.636233 | + | 0.462250i | −0.858554 | − | 0.512723i | \(-0.828637\pi\) |
0.222321 | + | 0.974974i | \(0.428637\pi\) | |||||||
\(84\) | −7.18015 | − | 7.71107i | −0.783418 | − | 0.841347i | ||||
\(85\) | −0.0365324 | + | 3.20107i | −0.00396249 | + | 0.347205i | ||||
\(86\) | −3.70487 | − | 1.55722i | −0.399506 | − | 0.167919i | ||||
\(87\) | 3.09776 | + | 2.37238i | 0.332114 | + | 0.254346i | ||||
\(88\) | 0.299311 | + | 4.74876i | 0.0319066 | + | 0.506219i | ||||
\(89\) | −0.333139 | − | 0.108243i | −0.0353126 | − | 0.0114738i | 0.291307 | − | 0.956629i | \(-0.405910\pi\) |
−0.326620 | + | 0.945156i | \(0.605910\pi\) | |||||||
\(90\) | −8.40299 | + | 4.40339i | −0.885753 | + | 0.464158i | ||||
\(91\) | −17.6635 | + | 5.73921i | −1.85164 | + | 0.601633i | ||||
\(92\) | 7.72155 | − | 3.83374i | 0.805027 | − | 0.399695i | ||||
\(93\) | −9.23097 | + | 6.35702i | −0.957207 | + | 0.659192i | ||||
\(94\) | 7.57363 | − | 4.58714i | 0.781160 | − | 0.473128i | ||||
\(95\) | −0.0931634 | + | 8.16324i | −0.00955836 | + | 0.837531i | ||||
\(96\) | 4.20816 | − | 8.84824i | 0.429493 | − | 0.903070i | ||||
\(97\) | −0.649353 | − | 0.471783i | −0.0659318 | − | 0.0479023i | 0.554331 | − | 0.832296i | \(-0.312974\pi\) |
−0.620263 | + | 0.784394i | \(0.712974\pi\) | |||||||
\(98\) | 1.23365 | − | 2.93504i | 0.124617 | − | 0.296484i | ||||
\(99\) | 1.79978 | − | 4.71499i | 0.180885 | − | 0.473874i | ||||
\(100\) | 4.83334 | − | 8.75436i | 0.483334 | − | 0.875436i | ||||
\(101\) | 9.88678i | 0.983771i | 0.870660 | + | 0.491886i | \(0.163692\pi\) | ||||
−0.870660 | + | 0.491886i | \(0.836308\pi\) | |||||||
\(102\) | 0.714489 | + | 3.43327i | 0.0707449 | + | 0.339944i | ||||
\(103\) | 4.39542 | − | 6.04977i | 0.433093 | − | 0.596102i | −0.535566 | − | 0.844493i | \(-0.679902\pi\) |
0.968660 | + | 0.248391i | \(0.0799019\pi\) | |||||||
\(104\) | −11.0104 | − | 13.3062i | −1.07966 | − | 1.30478i | ||||
\(105\) | −9.27009 | − | 7.26872i | −0.904668 | − | 0.709355i | ||||
\(106\) | 7.10018 | + | 11.7228i | 0.689631 | + | 1.13862i | ||||
\(107\) | 1.26467 | 0.122260 | 0.0611301 | − | 0.998130i | \(-0.480530\pi\) | ||||
0.0611301 | + | 0.998130i | \(0.480530\pi\) | |||||||
\(108\) | −7.95333 | + | 6.68914i | −0.765309 | + | 0.643663i | ||||
\(109\) | 3.82352 | + | 11.7676i | 0.366227 | + | 1.12713i | 0.949209 | + | 0.314645i | \(0.101886\pi\) |
−0.582983 | + | 0.812485i | \(0.698114\pi\) | |||||||
\(110\) | 1.15580 | + | 5.19274i | 0.110201 | + | 0.495108i | ||||
\(111\) | 17.4854 | − | 5.19724i | 1.65964 | − | 0.493300i | ||||
\(112\) | 12.1637 | + | 0.252942i | 1.14936 | + | 0.0239007i | ||||
\(113\) | 14.3187 | − | 4.65242i | 1.34699 | − | 0.437662i | 0.455309 | − | 0.890334i | \(-0.349529\pi\) |
0.891678 | + | 0.452671i | \(0.149529\pi\) | |||||||
\(114\) | 1.82206 | + | 8.75538i | 0.170652 | + | 0.820017i | ||||
\(115\) | 7.86182 | − | 5.57599i | 0.733119 | − | 0.519964i | ||||
\(116\) | −4.45707 | + | 0.658509i | −0.413828 | + | 0.0611410i | ||||
\(117\) | 4.77435 | + | 17.6854i | 0.441389 | + | 1.63502i | ||||
\(118\) | 16.6400 | + | 1.39666i | 1.53184 | + | 0.128573i | ||||
\(119\) | −3.52287 | + | 2.55952i | −0.322941 | + | 0.234630i | ||||
\(120\) | 3.11006 | − | 10.5037i | 0.283909 | − | 0.958851i | ||||
\(121\) | 6.60964 | + | 4.80218i | 0.600876 | + | 0.436562i | ||||
\(122\) | 0.661248 | + | 0.570730i | 0.0598666 | + | 0.0516715i | ||||
\(123\) | −4.36255 | − | 14.6772i | −0.393358 | − | 1.32340i | ||||
\(124\) | 2.15736 | − | 12.7610i | 0.193737 | − | 1.14597i | ||||
\(125\) | 3.81686 | − | 10.5086i | 0.341390 | − | 0.939922i | ||||
\(126\) | −11.6288 | − | 5.59415i | −1.03597 | − | 0.498366i | ||||
\(127\) | −0.0967531 | − | 0.0314370i | −0.00858545 | − | 0.00278958i | 0.304721 | − | 0.952442i | \(-0.401437\pi\) |
−0.313307 | + | 0.949652i | \(0.601437\pi\) | |||||||
\(128\) | 3.94647 | + | 10.6031i | 0.348822 | + | 0.937189i | ||||
\(129\) | −4.92047 | − | 0.124232i | −0.433223 | − | 0.0109380i | ||||
\(130\) | −14.4727 | − | 12.7826i | −1.26934 | − | 1.12111i | ||||
\(131\) | 2.63804 | − | 1.91665i | 0.230486 | − | 0.167458i | −0.466548 | − | 0.884496i | \(-0.654502\pi\) |
0.697034 | + | 0.717038i | \(0.254502\pi\) | |||||||
\(132\) | 2.45897 | + | 5.28336i | 0.214026 | + | 0.459858i | ||||
\(133\) | −8.98388 | + | 6.52717i | −0.779001 | + | 0.565978i | ||||
\(134\) | −2.87378 | + | 0.674154i | −0.248257 | + | 0.0582381i | ||||
\(135\) | −7.62161 | + | 8.76990i | −0.655963 | + | 0.754793i | ||||
\(136\) | −3.41921 | − | 2.16935i | −0.293195 | − | 0.186020i | ||||
\(137\) | 1.43686 | − | 0.466863i | 0.122759 | − | 0.0398868i | −0.246993 | − | 0.969017i | \(-0.579443\pi\) |
0.369752 | + | 0.929130i | \(0.379443\pi\) | |||||||
\(138\) | 7.09832 | − | 7.81625i | 0.604249 | − | 0.665364i | ||||
\(139\) | 8.29339 | + | 2.69469i | 0.703436 | + | 0.228560i | 0.638827 | − | 0.769350i | \(-0.279420\pi\) |
0.0646093 | + | 0.997911i | \(0.479420\pi\) | |||||||
\(140\) | 13.4781 | − | 1.83441i | 1.13911 | − | 0.155036i | ||||
\(141\) | 6.59363 | − | 8.60968i | 0.555284 | − | 0.725066i | ||||
\(142\) | 0.495365 | − | 0.300030i | 0.0415701 | − | 0.0251779i | ||||
\(143\) | 10.2723 | 0.859009 | ||||||||
\(144\) | 0.854599 | − | 11.9695i | 0.0712166 | − | 0.997461i | ||||
\(145\) | −4.80816 | + | 1.50182i | −0.399296 | + | 0.124720i | ||||
\(146\) | 2.27882 | + | 1.96687i | 0.188596 | + | 0.162779i | ||||
\(147\) | 0.0984180 | − | 3.89806i | 0.00811738 | − | 0.321506i | ||||
\(148\) | −9.75717 | + | 18.6672i | −0.802035 | + | 1.53444i | ||||
\(149\) | − | 7.84832i | − | 0.642960i | −0.946916 | − | 0.321480i | \(-0.895820\pi\) | ||
0.946916 | − | 0.321480i | \(-0.104180\pi\) | |||||||
\(150\) | 1.60960 | − | 12.1412i | 0.131423 | − | 0.991326i | ||||
\(151\) | − | 22.0326i | − | 1.79299i | −0.443052 | − | 0.896496i | \(-0.646104\pi\) | ||
0.443052 | − | 0.896496i | \(-0.353896\pi\) | |||||||
\(152\) | −8.71954 | − | 5.53219i | −0.707248 | − | 0.448720i | ||||
\(153\) | 2.34596 | + | 3.59767i | 0.189659 | + | 0.290854i | ||||
\(154\) | −4.72808 | + | 5.47796i | −0.381000 | + | 0.441427i | ||||
\(155\) | 0.165125 | − | 14.4687i | 0.0132632 | − | 1.16215i | ||||
\(156\) | −18.4928 | − | 10.2684i | −1.48061 | − | 0.822133i | ||||
\(157\) | 5.67807 | 0.453159 | 0.226580 | − | 0.973993i | \(-0.427246\pi\) | ||||
0.226580 | + | 0.973993i | \(0.427246\pi\) | |||||||
\(158\) | −10.1516 | − | 16.7609i | −0.807621 | − | 1.33343i | ||||
\(159\) | 13.3264 | + | 10.2059i | 1.05686 | + | 0.809381i | ||||
\(160\) | 6.20123 | + | 11.0247i | 0.490250 | + | 0.871582i | ||||
\(161\) | 12.4689 | + | 4.05140i | 0.982690 | + | 0.319295i | ||||
\(162\) | −6.08944 | + | 11.1767i | −0.478431 | + | 0.878125i | ||||
\(163\) | −4.48576 | + | 1.45751i | −0.351352 | + | 0.114161i | −0.479375 | − | 0.877610i | \(-0.659137\pi\) |
0.128023 | + | 0.991771i | \(0.459137\pi\) | |||||||
\(164\) | 15.6692 | + | 8.19013i | 1.22356 | + | 0.639542i | ||||
\(165\) | 3.63392 | + | 5.40788i | 0.282901 | + | 0.421003i | ||||
\(166\) | −2.31412 | − | 9.86461i | −0.179610 | − | 0.765642i | ||||
\(167\) | −11.1648 | + | 8.11168i | −0.863956 | + | 0.627701i | −0.928958 | − | 0.370184i | \(-0.879295\pi\) |
0.0650023 | + | 0.997885i | \(0.479295\pi\) | |||||||
\(168\) | 13.9878 | − | 5.13547i | 1.07918 | − | 0.396210i | ||||
\(169\) | −19.6473 | + | 14.2746i | −1.51133 | + | 1.09805i | ||||
\(170\) | −4.15332 | − | 1.80175i | −0.318545 | − | 0.138188i | ||||
\(171\) | 5.98256 | + | 9.17463i | 0.457498 | + | 0.701602i | ||||
\(172\) | 4.06039 | − | 3.97683i | 0.309602 | − | 0.303231i | ||||
\(173\) | −13.1064 | − | 4.25851i | −0.996458 | − | 0.323769i | −0.235008 | − | 0.971993i | \(-0.575512\pi\) |
−0.761449 | + | 0.648225i | \(0.775512\pi\) | |||||||
\(174\) | −4.79046 | + | 2.73863i | −0.363164 | + | 0.207615i | ||||
\(175\) | 14.5671 | − | 4.36820i | 1.10117 | − | 0.330205i | ||||
\(176\) | −6.35513 | − | 2.21200i | −0.479036 | − | 0.166736i | ||||
\(177\) | 19.6038 | − | 5.82690i | 1.47351 | − | 0.437977i | ||||
\(178\) | 0.323674 | − | 0.375008i | 0.0242604 | − | 0.0281081i | ||||
\(179\) | 5.40793 | + | 3.92909i | 0.404207 | + | 0.293674i | 0.771253 | − | 0.636529i | \(-0.219631\pi\) |
−0.367045 | + | 0.930203i | \(0.619631\pi\) | |||||||
\(180\) | −1.13617 | − | 13.3682i | −0.0846850 | − | 0.996408i | ||||
\(181\) | 13.8444 | − | 10.0586i | 1.02905 | − | 0.747647i | 0.0609294 | − | 0.998142i | \(-0.480594\pi\) |
0.968118 | + | 0.250496i | \(0.0805936\pi\) | |||||||
\(182\) | 2.19684 | − | 26.1734i | 0.162841 | − | 1.94010i | ||||
\(183\) | 1.00877 | + | 0.356161i | 0.0745706 | + | 0.0263282i | ||||
\(184\) | 0.766918 | + | 12.1677i | 0.0565379 | + | 0.897011i | ||||
\(185\) | −7.53235 | + | 22.3125i | −0.553789 | + | 1.64045i | ||||
\(186\) | −3.22946 | − | 15.5182i | −0.236796 | − | 1.13785i | ||||
\(187\) | 2.29056 | − | 0.744247i | 0.167502 | − | 0.0544247i | ||||
\(188\) | 1.83021 | + | 12.3876i | 0.133482 | + | 0.903462i | ||||
\(189\) | −15.7593 | − | 1.19570i | −1.14632 | − | 0.0869744i | ||||
\(190\) | −10.5916 | − | 4.59475i | −0.768397 | − | 0.333338i | ||||
\(191\) | 2.70046 | + | 8.31116i | 0.195398 | + | 0.601374i | 0.999972 | + | 0.00752103i | \(0.00239404\pi\) |
−0.804573 | + | 0.593853i | \(0.797606\pi\) | |||||||
\(192\) | 9.22976 | + | 10.3350i | 0.666100 | + | 0.745862i | ||||
\(193\) | −1.41726 | −0.102016 | −0.0510082 | − | 0.998698i | \(-0.516243\pi\) | ||||
−0.0510082 | + | 0.998698i | \(0.516243\pi\) | |||||||
\(194\) | 0.970911 | − | 0.588055i | 0.0697073 | − | 0.0422199i | ||||
\(195\) | −22.2087 | − | 8.12732i | −1.59040 | − | 0.582009i | ||||
\(196\) | 3.15050 | + | 3.21669i | 0.225035 | + | 0.229764i | ||||
\(197\) | −2.75253 | + | 3.78854i | −0.196110 | + | 0.269922i | −0.895735 | − | 0.444588i | \(-0.853350\pi\) |
0.699625 | + | 0.714510i | \(0.253350\pi\) | |||||||
\(198\) | 5.16084 | + | 4.93015i | 0.366765 | + | 0.350371i | ||||
\(199\) | − | 18.1468i | − | 1.28639i | −0.765702 | − | 0.643196i | \(-0.777608\pi\) | ||
0.765702 | − | 0.643196i | \(-0.222392\pi\) | |||||||
\(200\) | 8.76477 | + | 11.0986i | 0.619763 | + | 0.784789i | ||||
\(201\) | −2.97746 | + | 2.05046i | −0.210014 | + | 0.144628i | ||||
\(202\) | −12.8897 | − | 5.41776i | −0.906917 | − | 0.381192i | ||||
\(203\) | −5.54327 | − | 4.02742i | −0.389061 | − | 0.282670i | ||||
\(204\) | −4.86759 | − | 0.949861i | −0.340799 | − | 0.0665036i | ||||
\(205\) | 18.7290 | + | 6.32262i | 1.30809 | + | 0.441591i | ||||
\(206\) | 5.47868 | + | 9.04560i | 0.381718 | + | 0.630237i | ||||
\(207\) | 4.61154 | − | 12.0811i | 0.320524 | − | 0.839696i | ||||
\(208\) | 23.3812 | − | 7.06308i | 1.62119 | − | 0.489736i | ||||
\(209\) | 5.84128 | − | 1.89795i | 0.404050 | − | 0.131284i | ||||
\(210\) | 14.5563 | − | 8.10260i | 1.00448 | − | 0.559133i | ||||
\(211\) | −0.474177 | − | 0.154069i | −0.0326437 | − | 0.0106066i | 0.292650 | − | 0.956220i | \(-0.405463\pi\) |
−0.325293 | + | 0.945613i | \(0.605463\pi\) | |||||||
\(212\) | −19.1741 | + | 2.83288i | −1.31689 | + | 0.194563i | ||||
\(213\) | 0.431267 | − | 0.563130i | 0.0295499 | − | 0.0385850i | ||||
\(214\) | −0.693014 | + | 1.64879i | −0.0473734 | + | 0.112709i | ||||
\(215\) | 3.79340 | − | 5.09780i | 0.258708 | − | 0.347667i | ||||
\(216\) | −4.36258 | − | 14.0345i | −0.296836 | − | 0.954929i | ||||
\(217\) | 15.9232 | − | 11.5689i | 1.08094 | − | 0.785349i | ||||
\(218\) | −17.4370 | − | 1.46356i | −1.18098 | − | 0.0991245i | ||||
\(219\) | 3.47647 | + | 1.22742i | 0.234918 | + | 0.0829411i | ||||
\(220\) | −7.40329 | − | 1.33867i | −0.499130 | − | 0.0902529i | ||||
\(221\) | −5.13839 | + | 7.07238i | −0.345645 | + | 0.475740i | ||||
\(222\) | −2.80584 | + | 25.6443i | −0.188315 | + | 1.72113i | ||||
\(223\) | 24.8327 | + | 8.06864i | 1.66292 | + | 0.540316i | 0.981482 | − | 0.191557i | \(-0.0613536\pi\) |
0.681441 | + | 0.731873i | \(0.261354\pi\) | |||||||
\(224\) | −6.99525 | + | 15.7196i | −0.467390 | + | 1.05031i | ||||
\(225\) | −3.57792 | − | 14.5670i | −0.238528 | − | 0.971136i | ||||
\(226\) | −1.78084 | + | 21.2171i | −0.118460 | + | 1.41134i | ||||
\(227\) | 4.02587 | − | 12.3904i | 0.267206 | − | 0.822377i | −0.723970 | − | 0.689831i | \(-0.757685\pi\) |
0.991177 | − | 0.132546i | \(-0.0423152\pi\) | |||||||
\(228\) | −12.4131 | − | 2.42230i | −0.822079 | − | 0.160421i | ||||
\(229\) | −8.60561 | − | 6.25234i | −0.568675 | − | 0.413167i | 0.265949 | − | 0.963987i | \(-0.414315\pi\) |
−0.834624 | + | 0.550821i | \(0.814315\pi\) | |||||||
\(230\) | 2.96148 | + | 13.3052i | 0.195274 | + | 0.877322i | ||||
\(231\) | −2.95054 | + | 8.35695i | −0.194131 | + | 0.549847i | ||||
\(232\) | 1.58386 | − | 6.17167i | 0.103986 | − | 0.405190i | ||||
\(233\) | −0.255169 | − | 0.351210i | −0.0167167 | − | 0.0230085i | 0.800577 | − | 0.599230i | \(-0.204527\pi\) |
−0.817294 | + | 0.576222i | \(0.804527\pi\) | |||||||
\(234\) | −25.6733 | − | 3.46679i | −1.67832 | − | 0.226631i | ||||
\(235\) | 4.17406 | + | 13.3634i | 0.272285 | + | 0.871735i | ||||
\(236\) | −10.9393 | + | 20.9288i | −0.712086 | + | 1.36235i | ||||
\(237\) | −19.0538 | − | 14.5921i | −1.23767 | − | 0.947859i | ||||
\(238\) | −1.40646 | − | 5.99544i | −0.0911672 | − | 0.388627i | ||||
\(239\) | −8.48056 | + | 26.1005i | −0.548562 | + | 1.68830i | 0.163805 | + | 0.986493i | \(0.447623\pi\) |
−0.712367 | + | 0.701807i | \(0.752377\pi\) | |||||||
\(240\) | 11.9897 | + | 9.81050i | 0.773935 | + | 0.633265i | ||||
\(241\) | 3.05825 | + | 9.41233i | 0.196999 | + | 0.606301i | 0.999947 | + | 0.0102526i | \(0.00326355\pi\) |
−0.802948 | + | 0.596049i | \(0.796736\pi\) | |||||||
\(242\) | −9.88271 | + | 5.98570i | −0.635285 | + | 0.384775i | ||||
\(243\) | −1.96225 | + | 15.4645i | −0.125878 | + | 0.992046i | ||||
\(244\) | −1.10643 | + | 0.549342i | −0.0708320 | + | 0.0351680i | ||||
\(245\) | 4.03854 | + | 3.00518i | 0.258013 | + | 0.191994i | ||||
\(246\) | 21.5257 | + | 2.35521i | 1.37243 | + | 0.150163i | ||||
\(247\) | −13.1037 | + | 18.0357i | −0.833769 | + | 1.14758i | ||||
\(248\) | 15.4547 | + | 9.80538i | 0.981375 | + | 0.622642i | ||||
\(249\) | −7.03847 | − | 10.2205i | −0.446045 | − | 0.647697i | ||||
\(250\) | 11.6089 | + | 10.7347i | 0.734211 | + | 0.678921i | ||||
\(251\) | 3.02388 | 0.190865 | 0.0954327 | − | 0.995436i | \(-0.469577\pi\) | ||||
0.0954327 | + | 0.995436i | \(0.469577\pi\) | |||||||
\(252\) | 13.6656 | − | 12.0953i | 0.860852 | − | 0.761933i | ||||
\(253\) | −5.86646 | − | 4.26224i | −0.368821 | − | 0.267964i | ||||
\(254\) | 0.0940042 | − | 0.108913i | 0.00589835 | − | 0.00683383i | ||||
\(255\) | −5.54105 | − | 0.203196i | −0.346994 | − | 0.0127247i | ||||
\(256\) | −15.9862 | − | 0.665145i | −0.999136 | − | 0.0415715i | ||||
\(257\) | − | 17.5378i | − | 1.09398i | −0.837141 | − | 0.546988i | \(-0.815774\pi\) | ||
0.837141 | − | 0.546988i | \(-0.184226\pi\) | |||||||
\(258\) | 2.85828 | − | 6.34690i | 0.177949 | − | 0.395141i | ||||
\(259\) | −30.4653 | + | 9.89878i | −1.89302 | + | 0.615080i | ||||
\(260\) | 24.5959 | − | 11.8639i | 1.52537 | − | 0.735768i | ||||
\(261\) | −4.24320 | + | 5.26005i | −0.262648 | + | 0.325589i | ||||
\(262\) | 1.05320 | + | 4.48958i | 0.0650670 | + | 0.277367i | ||||
\(263\) | −7.97131 | − | 24.5332i | −0.491532 | − | 1.51278i | −0.822293 | − | 0.569065i | \(-0.807305\pi\) |
0.330761 | − | 0.943715i | \(-0.392695\pi\) | |||||||
\(264\) | −8.23556 | + | 0.310656i | −0.506863 | + | 0.0191195i | ||||
\(265\) | −20.6845 | + | 6.46079i | −1.27064 | + | 0.396883i | ||||
\(266\) | −3.58669 | − | 15.2893i | −0.219914 | − | 0.937449i | ||||
\(267\) | 0.201987 | − | 0.572097i | 0.0123614 | − | 0.0350118i | ||||
\(268\) | 0.695858 | − | 4.11606i | 0.0425063 | − | 0.251429i | ||||
\(269\) | 5.90843 | + | 8.13226i | 0.360244 | + | 0.495833i | 0.950217 | − | 0.311590i | \(-0.100862\pi\) |
−0.589973 | + | 0.807423i | \(0.700862\pi\) | |||||||
\(270\) | −7.25711 | − | 14.7423i | −0.441654 | − | 0.897186i | ||||
\(271\) | 4.88812 | − | 6.72793i | 0.296932 | − | 0.408692i | −0.634318 | − | 0.773072i | \(-0.718719\pi\) |
0.931250 | + | 0.364380i | \(0.118719\pi\) | |||||||
\(272\) | 4.70191 | − | 3.26898i | 0.285095 | − | 0.198211i | ||||
\(273\) | −9.16525 | − | 30.8352i | −0.554706 | − | 1.86623i | ||||
\(274\) | −0.178705 | + | 2.12911i | −0.0107959 | + | 0.128624i | ||||
\(275\) | −8.40917 | − | 0.191965i | −0.507092 | − | 0.0115759i | ||||
\(276\) | 6.30056 | + | 13.5375i | 0.379249 | + | 0.814859i | ||||
\(277\) | −1.97706 | + | 6.08476i | −0.118790 | + | 0.365598i | −0.992719 | − | 0.120456i | \(-0.961564\pi\) |
0.873929 | + | 0.486054i | \(0.161564\pi\) | |||||||
\(278\) | −8.05777 | + | 9.33573i | −0.483273 | + | 0.559920i | ||||
\(279\) | −10.6036 | − | 16.2613i | −0.634822 | − | 0.973540i | ||||
\(280\) | −4.99417 | + | 18.5771i | −0.298459 | + | 1.11019i | ||||
\(281\) | −14.0046 | − | 19.2756i | −0.835441 | − | 1.14989i | −0.986886 | − | 0.161421i | \(-0.948392\pi\) |
0.151444 | − | 0.988466i | \(-0.451608\pi\) | |||||||
\(282\) | 7.61154 | + | 13.3143i | 0.453261 | + | 0.792853i | ||||
\(283\) | −14.4234 | − | 19.8522i | −0.857385 | − | 1.18009i | −0.982187 | − | 0.187907i | \(-0.939830\pi\) |
0.124802 | − | 0.992182i | \(-0.460170\pi\) | |||||||
\(284\) | 0.119708 | + | 0.810234i | 0.00710336 | + | 0.0480785i | ||||
\(285\) | −14.1306 | − | 0.518183i | −0.837023 | − | 0.0306945i | ||||
\(286\) | −5.62899 | + | 13.3923i | −0.332849 | + | 0.791901i | ||||
\(287\) | 8.30900 | + | 25.5725i | 0.490464 | + | 1.50949i | ||||
\(288\) | 15.1368 | + | 7.67323i | 0.891942 | + | 0.452150i | ||||
\(289\) | 4.61992 | − | 14.2186i | 0.271760 | − | 0.836391i | ||||
\(290\) | 0.676800 | − | 7.09152i | 0.0397431 | − | 0.416428i | ||||
\(291\) | 0.845279 | − | 1.10373i | 0.0495511 | − | 0.0647018i | ||||
\(292\) | −3.81302 | + | 1.89316i | −0.223140 | + | 0.110789i | ||||
\(293\) | − | 4.61787i | − | 0.269779i | −0.990861 | − | 0.134890i | \(-0.956932\pi\) | ||
0.990861 | − | 0.134890i | \(-0.0430680\pi\) | |||||||
\(294\) | 5.02809 | + | 2.26437i | 0.293244 | + | 0.132061i | ||||
\(295\) | −8.44490 | + | 25.0157i | −0.491681 | + | 1.45647i | ||||
\(296\) | −18.9903 | − | 22.9500i | −1.10379 | − | 1.33394i | ||||
\(297\) | 8.08532 | + | 3.32244i | 0.469158 | + | 0.192788i | ||||
\(298\) | 10.2321 | + | 4.30072i | 0.592730 | + | 0.249134i | ||||
\(299\) | 26.3204 | 1.52215 | ||||||||
\(300\) | 14.9469 | + | 8.75163i | 0.862958 | + | 0.505276i | ||||
\(301\) | 8.64340 | 0.498197 | ||||||||
\(302\) | 28.7247 | + | 12.0735i | 1.65292 | + | 0.694749i | ||||
\(303\) | −17.1189 | − | 0.432218i | −0.983458 | − | 0.0248303i | ||||
\(304\) | 11.9906 | − | 8.33641i | 0.687710 | − | 0.478126i | ||||
\(305\) | −1.12653 | + | 0.798991i | −0.0645049 | + | 0.0457501i | ||||
\(306\) | −5.97594 | + | 1.08705i | −0.341622 | + | 0.0621422i | ||||
\(307\) | 13.8516i | 0.790553i | 0.918562 | + | 0.395277i | \(0.129351\pi\) | ||||
−0.918562 | + | 0.395277i | \(0.870649\pi\) | |||||||
\(308\) | −4.55090 | − | 9.16597i | −0.259311 | − | 0.522280i | ||||
\(309\) | 10.2830 | + | 7.87514i | 0.584981 | + | 0.448001i | ||||
\(310\) | 18.7728 | + | 8.14385i | 1.06623 | + | 0.462539i | ||||
\(311\) | 0.348878 | − | 1.07373i | 0.0197830 | − | 0.0608859i | −0.940678 | − | 0.339302i | \(-0.889809\pi\) |
0.960461 | + | 0.278416i | \(0.0898093\pi\) | |||||||
\(312\) | 23.5210 | − | 18.4828i | 1.33161 | − | 1.04638i | ||||
\(313\) | −1.96099 | − | 6.03530i | −0.110842 | − | 0.341135i | 0.880215 | − | 0.474574i | \(-0.157398\pi\) |
−0.991057 | + | 0.133439i | \(0.957398\pi\) | |||||||
\(314\) | −3.11147 | + | 7.40268i | −0.175590 | + | 0.417758i | ||||
\(315\) | 12.9910 | − | 15.7334i | 0.731962 | − | 0.886476i | ||||
\(316\) | 27.4146 | − | 4.05037i | 1.54219 | − | 0.227851i | ||||
\(317\) | −9.65590 | − | 13.2902i | −0.542330 | − | 0.746453i | 0.446617 | − | 0.894725i | \(-0.352629\pi\) |
−0.988947 | + | 0.148273i | \(0.952629\pi\) | |||||||
\(318\) | −20.6084 | + | 11.7815i | −1.15566 | + | 0.660673i | ||||
\(319\) | 2.22753 | + | 3.06593i | 0.124718 | + | 0.171659i | ||||
\(320\) | −17.7715 | + | 2.04341i | −0.993454 | + | 0.114230i | ||||
\(321\) | −0.0552873 | + | 2.18977i | −0.00308584 | + | 0.122221i | ||||
\(322\) | −12.1147 | + | 14.0361i | −0.675125 | + | 0.782200i | ||||
\(323\) | −1.61520 | + | 4.97108i | −0.0898722 | + | 0.276598i | ||||
\(324\) | −11.2345 | − | 14.0636i | −0.624141 | − | 0.781312i | ||||
\(325\) | 25.1031 | − | 17.3772i | 1.39247 | − | 0.963915i | ||||
\(326\) | 0.557903 | − | 6.64692i | 0.0308994 | − | 0.368139i | ||||
\(327\) | −20.5427 | + | 6.10598i | −1.13601 | + | 0.337661i | ||||
\(328\) | −19.2641 | + | 15.9404i | −1.06368 | + | 0.880161i | ||||
\(329\) | −11.1935 | + | 15.4066i | −0.617119 | + | 0.849392i | ||||
\(330\) | −9.04175 | + | 1.77425i | −0.497732 | + | 0.0976693i | ||||
\(331\) | −12.6376 | − | 17.3941i | −0.694624 | − | 0.956068i | −0.999993 | − | 0.00383388i | \(-0.998780\pi\) |
0.305368 | − | 0.952234i | \(-0.401220\pi\) | |||||||
\(332\) | 14.1289 | + | 2.38862i | 0.775424 | + | 0.131092i | ||||
\(333\) | 8.23462 | + | 30.5032i | 0.451254 | + | 1.67156i | ||||
\(334\) | −4.45739 | − | 19.0009i | −0.243897 | − | 1.03968i | ||||
\(335\) | 0.0532612 | − | 4.66689i | 0.00290997 | − | 0.254980i | ||||
\(336\) | −0.969728 | + | 21.0504i | −0.0529030 | + | 1.14839i | ||||
\(337\) | 8.85165 | + | 27.2426i | 0.482180 | + | 1.48400i | 0.836024 | + | 0.548693i | \(0.184875\pi\) |
−0.353843 | + | 0.935305i | \(0.615125\pi\) | |||||||
\(338\) | −7.84394 | − | 33.4371i | −0.426654 | − | 1.81874i | ||||
\(339\) | 7.42969 | + | 24.9961i | 0.403525 | + | 1.35760i | ||||
\(340\) | 4.62494 | − | 4.42749i | 0.250823 | − | 0.240115i | ||||
\(341\) | −10.3532 | + | 3.36397i | −0.560658 | + | 0.182169i | ||||
\(342\) | −15.2396 | + | 2.77214i | −0.824063 | + | 0.149900i | ||||
\(343\) | − | 14.4437i | − | 0.779887i | ||||||
\(344\) | 2.95971 | + | 7.47288i | 0.159577 | + | 0.402911i | ||||
\(345\) | 9.31113 | + | 13.8565i | 0.501294 | + | 0.746009i | ||||
\(346\) | 12.7340 | − | 14.7536i | 0.684583 | − | 0.793158i | ||||
\(347\) | 2.02863 | + | 1.47389i | 0.108903 | + | 0.0791223i | 0.640904 | − | 0.767621i | \(-0.278560\pi\) |
−0.532001 | + | 0.846744i | \(0.678560\pi\) | |||||||
\(348\) | −0.945359 | − | 7.74619i | −0.0506765 | − | 0.415240i | ||||
\(349\) | 19.2761 | 1.03182 | 0.515912 | − | 0.856641i | \(-0.327453\pi\) | ||||
0.515912 | + | 0.856641i | \(0.327453\pi\) | |||||||
\(350\) | −2.28752 | + | 21.3853i | −0.122273 | + | 1.14309i | ||||
\(351\) | −30.8310 | + | 7.49363i | −1.64564 | + | 0.399981i | ||||
\(352\) | 6.36635 | − | 7.07325i | 0.339327 | − | 0.377005i | ||||
\(353\) | 18.7903 | − | 25.8626i | 1.00011 | − | 1.37653i | 0.0748460 | − | 0.997195i | \(-0.476153\pi\) |
0.925260 | − | 0.379333i | \(-0.123847\pi\) | |||||||
\(354\) | −3.14577 | + | 28.7511i | −0.167196 | + | 1.52810i | ||||
\(355\) | 0.273011 | + | 0.874057i | 0.0144899 | + | 0.0463901i | ||||
\(356\) | 0.311544 | + | 0.627481i | 0.0165118 | + | 0.0332564i | ||||
\(357\) | −4.27779 | − | 6.21174i | −0.226405 | − | 0.328760i | ||||
\(358\) | −8.08591 | + | 4.89742i | −0.427354 | + | 0.258837i | ||||
\(359\) | −2.27154 | − | 6.99107i | −0.119887 | − | 0.368975i | 0.873048 | − | 0.487635i | \(-0.162140\pi\) |
−0.992935 | + | 0.118660i | \(0.962140\pi\) | |||||||
\(360\) | 18.0512 | + | 5.84426i | 0.951380 | + | 0.308019i | ||||
\(361\) | 1.75230 | − | 5.39303i | 0.0922264 | − | 0.283844i | ||||
\(362\) | 5.52720 | + | 23.5613i | 0.290503 | + | 1.23835i | ||||
\(363\) | −8.60393 | + | 11.2346i | −0.451589 | + | 0.589666i | ||||
\(364\) | 32.9193 | + | 17.2066i | 1.72544 | + | 0.901872i | ||||
\(365\) | −3.88229 | + | 2.75351i | −0.203208 | + | 0.144125i | ||||
\(366\) | −1.01713 | + | 1.12000i | −0.0531661 | + | 0.0585434i | ||||
\(367\) | 18.7370 | + | 25.7893i | 0.978063 | + | 1.34619i | 0.937867 | + | 0.346996i | \(0.112798\pi\) |
0.0401962 | + | 0.999192i | \(0.487202\pi\) | |||||||
\(368\) | −16.2836 | − | 5.66778i | −0.848842 | − | 0.295453i | ||||
\(369\) | 25.6042 | − | 6.91210i | 1.33290 | − | 0.359830i | ||||
\(370\) | −24.9620 | − | 22.0470i | −1.29771 | − | 1.14617i | ||||
\(371\) | −23.8470 | − | 17.3258i | −1.23807 | − | 0.899512i | ||||
\(372\) | 22.0013 | + | 4.29333i | 1.14071 | + | 0.222599i | ||||
\(373\) | 1.92728 | − | 5.93156i | 0.0997908 | − | 0.307125i | −0.888682 | − | 0.458525i | \(-0.848378\pi\) |
0.988473 | + | 0.151400i | \(0.0483781\pi\) | |||||||
\(374\) | −0.284881 | + | 3.39410i | −0.0147308 | + | 0.175505i | ||||
\(375\) | 18.0288 | + | 7.06829i | 0.931006 | + | 0.365005i | ||||
\(376\) | −17.1531 | − | 4.40208i | −0.884603 | − | 0.227020i | ||||
\(377\) | −13.0823 | − | 4.25070i | −0.673773 | − | 0.218922i | ||||
\(378\) | 10.1946 | − | 19.8906i | 0.524356 | − | 1.02306i | ||||
\(379\) | −12.0452 | + | 16.5789i | −0.618723 | + | 0.851599i | −0.997259 | − | 0.0739876i | \(-0.976427\pi\) |
0.378536 | + | 0.925586i | \(0.376427\pi\) | |||||||
\(380\) | 11.7943 | − | 11.2908i | 0.605036 | − | 0.579206i | ||||
\(381\) | 0.0586629 | − | 0.166154i | 0.00300539 | − | 0.00851231i | ||||
\(382\) | −12.3153 | − | 1.03367i | −0.630107 | − | 0.0528874i | ||||
\(383\) | 23.9236 | − | 17.3815i | 1.22244 | − | 0.888153i | 0.226138 | − | 0.974095i | \(-0.427390\pi\) |
0.996300 | + | 0.0859420i | \(0.0273900\pi\) | |||||||
\(384\) | −18.5318 | + | 6.36977i | −0.945695 | + | 0.325056i | ||||
\(385\) | −6.61905 | − | 9.33248i | −0.337338 | − | 0.475627i | ||||
\(386\) | 0.776628 | − | 1.84772i | 0.0395293 | − | 0.0940466i | ||||
\(387\) | 0.430214 | − | 8.51436i | 0.0218690 | − | 0.432809i | ||||
\(388\) | 0.234626 | + | 1.58805i | 0.0119113 | + | 0.0806210i | ||||
\(389\) | 6.59111 | + | 2.14158i | 0.334182 | + | 0.108582i | 0.471302 | − | 0.881972i | \(-0.343784\pi\) |
−0.137119 | + | 0.990555i | \(0.543784\pi\) | |||||||
\(390\) | 22.7658 | − | 24.5006i | 1.15279 | − | 1.24064i | ||||
\(391\) | 5.86905 | − | 1.90697i | 0.296810 | − | 0.0964396i | ||||
\(392\) | −5.92011 | + | 2.34472i | −0.299011 | + | 0.118426i | ||||
\(393\) | 3.20335 | + | 4.65155i | 0.161587 | + | 0.234640i | ||||
\(394\) | −3.43091 | − | 5.66461i | −0.172847 | − | 0.285379i | ||||
\(395\) | 29.5741 | − | 9.23744i | 1.48804 | − | 0.464786i | ||||
\(396\) | −9.25564 | + | 4.02673i | −0.465113 | + | 0.202351i | ||||
\(397\) | −23.5736 | − | 17.1272i | −1.18312 | − | 0.859591i | −0.190604 | − | 0.981667i | \(-0.561045\pi\) |
−0.992521 | + | 0.122076i | \(0.961045\pi\) | |||||||
\(398\) | 23.6585 | + | 9.94408i | 1.18590 | + | 0.498452i | ||||
\(399\) | −10.9090 | − | 15.8409i | −0.546135 | − | 0.793038i | ||||
\(400\) | −19.2725 | + | 5.34510i | −0.963626 | + | 0.267255i | ||||
\(401\) | 12.6018i | 0.629305i | 0.949207 | + | 0.314653i | \(0.101888\pi\) | ||||
−0.949207 | + | 0.314653i | \(0.898112\pi\) | |||||||
\(402\) | −1.04167 | − | 5.00542i | −0.0519535 | − | 0.249648i | ||||
\(403\) | 23.2253 | − | 31.9669i | 1.15693 | − | 1.59238i | ||||
\(404\) | 14.1266 | − | 13.8359i | 0.702825 | − | 0.688362i | ||||
\(405\) | −14.8519 | − | 13.5802i | −0.737996 | − | 0.674805i | ||||
\(406\) | 8.28829 | − | 5.01999i | 0.411341 | − | 0.249138i | ||||
\(407\) | 17.7172 | 0.878208 | ||||||||
\(408\) | 3.90571 | − | 5.82553i | 0.193361 | − | 0.288407i | ||||
\(409\) | −2.71165 | − | 8.34559i | −0.134082 | − | 0.412663i | 0.861364 | − | 0.507988i | \(-0.169611\pi\) |
−0.995446 | + | 0.0953257i | \(0.969611\pi\) | |||||||
\(410\) | −18.5061 | + | 20.9530i | −0.913953 | + | 1.03479i | ||||
\(411\) | 0.745558 | + | 2.50833i | 0.0367757 | + | 0.123727i | ||||
\(412\) | −14.7953 | + | 2.18592i | −0.728910 | + | 0.107693i | ||||
\(413\) | −34.1562 | + | 11.0980i | −1.68072 | + | 0.546099i | ||||
\(414\) | 13.2235 | + | 12.6324i | 0.649900 | + | 0.620850i | ||||
\(415\) | 16.0197 | + | 0.182826i | 0.786376 | + | 0.00897456i | ||||
\(416\) | −3.60406 | + | 34.3532i | −0.176704 | + | 1.68431i | ||||
\(417\) | −5.02841 | + | 14.2422i | −0.246242 | + | 0.697443i | ||||
\(418\) | −0.726492 | + | 8.65551i | −0.0355339 | + | 0.423355i | ||||
\(419\) | 8.34417 | − | 6.06239i | 0.407639 | − | 0.296167i | −0.365006 | − | 0.931005i | \(-0.618933\pi\) |
0.772645 | + | 0.634838i | \(0.218933\pi\) | |||||||
\(420\) | 2.58706 | + | 23.4176i | 0.126236 | + | 1.14266i | ||||
\(421\) | −22.5238 | − | 16.3645i | −1.09774 | − | 0.797558i | −0.117054 | − | 0.993126i | \(-0.537345\pi\) |
−0.980690 | + | 0.195568i | \(0.937345\pi\) | |||||||
\(422\) | 0.460704 | − | 0.533772i | 0.0224267 | − | 0.0259836i | ||||
\(423\) | 14.6194 | + | 11.7932i | 0.710820 | + | 0.573407i | ||||
\(424\) | 6.81373 | − | 26.5503i | 0.330904 | − | 1.28940i | ||||
\(425\) | 4.33860 | − | 5.69364i | 0.210453 | − | 0.276182i | ||||
\(426\) | 0.497845 | + | 0.870841i | 0.0241207 | + | 0.0421924i | ||||
\(427\) | −1.78669 | − | 0.580531i | −0.0864640 | − | 0.0280938i | ||||
\(428\) | −1.76982 | − | 1.80701i | −0.0855476 | − | 0.0873451i | ||||
\(429\) | −0.449070 | + | 17.7864i | −0.0216813 | + | 0.858735i | ||||
\(430\) | 4.56746 | + | 7.73907i | 0.220262 | + | 0.373211i | ||||
\(431\) | 16.0970 | − | 11.6952i | 0.775365 | − | 0.563336i | −0.128219 | − | 0.991746i | \(-0.540926\pi\) |
0.903584 | + | 0.428410i | \(0.140926\pi\) | |||||||
\(432\) | 20.6879 | + | 2.00301i | 0.995346 | + | 0.0963697i | ||||
\(433\) | −5.60652 | + | 4.07337i | −0.269432 | + | 0.195754i | −0.714295 | − | 0.699845i | \(-0.753252\pi\) |
0.444863 | + | 0.895599i | \(0.353252\pi\) | |||||||
\(434\) | 6.35714 | + | 27.0992i | 0.305152 | + | 1.30080i | ||||
\(435\) | −2.39021 | − | 8.39097i | −0.114602 | − | 0.402316i | ||||
\(436\) | 11.4632 | − | 21.9312i | 0.548988 | − | 1.05031i | ||||
\(437\) | 14.9670 | − | 4.86307i | 0.715969 | − | 0.232632i | ||||
\(438\) | −3.50526 | + | 3.85978i | −0.167488 | + | 0.184428i | ||||
\(439\) | −17.0128 | − | 5.52780i | −0.811977 | − | 0.263827i | −0.126542 | − | 0.991961i | \(-0.540388\pi\) |
−0.685435 | + | 0.728134i | \(0.740388\pi\) | |||||||
\(440\) | 5.80212 | − | 8.91835i | 0.276605 | − | 0.425165i | ||||
\(441\) | 6.74518 | + | 0.340821i | 0.321199 | + | 0.0162296i | ||||
\(442\) | −6.40476 | − | 10.5746i | −0.304643 | − | 0.502983i | ||||
\(443\) | −25.0923 | −1.19217 | −0.596086 | − | 0.802920i | \(-0.703278\pi\) | ||||
−0.596086 | + | 0.802920i | \(0.703278\pi\) | |||||||
\(444\) | −31.8957 | − | 17.7106i | −1.51370 | − | 0.840508i | ||||
\(445\) | 0.453125 | + | 0.638880i | 0.0214802 | + | 0.0302858i | ||||
\(446\) | −24.1272 | + | 27.9538i | −1.14246 | + | 1.32365i | ||||
\(447\) | 13.5894 | + | 0.343104i | 0.642755 | + | 0.0162282i | ||||
\(448\) | −16.6609 | − | 17.7340i | −0.787155 | − | 0.837852i | ||||
\(449\) | − | 19.5542i | − | 0.922821i | −0.887187 | − | 0.461410i | \(-0.847344\pi\) | ||
0.887187 | − | 0.461410i | \(-0.152656\pi\) | |||||||
\(450\) | 20.9521 | + | 3.31779i | 0.987693 | + | 0.156402i | ||||
\(451\) | − | 14.8717i | − | 0.700283i | ||||||
\(452\) | −26.6856 | − | 13.9483i | −1.25518 | − | 0.656073i | ||||
\(453\) | 38.1495 | + | 0.963197i | 1.79242 | + | 0.0452549i | ||||
\(454\) | 13.9476 | + | 12.0383i | 0.654594 | + | 0.564987i | ||||
\(455\) | 39.3477 | + | 13.2832i | 1.84465 | + | 0.622725i | ||||
\(456\) | 9.96017 | − | 14.8560i | 0.466428 | − | 0.695697i | ||||
\(457\) | −15.4555 | −0.722977 | −0.361489 | − | 0.932377i | \(-0.617731\pi\) | ||||
−0.361489 | + | 0.932377i | \(0.617731\pi\) | |||||||
\(458\) | 12.8671 | − | 7.79326i | 0.601240 | − | 0.364155i | ||||
\(459\) | −6.33192 | + | 3.90474i | −0.295549 | + | 0.182258i | ||||
\(460\) | −18.9693 | − | 3.43004i | −0.884448 | − | 0.159926i | ||||
\(461\) | −11.5831 | − | 3.76359i | −0.539481 | − | 0.175288i | 0.0265872 | − | 0.999646i | \(-0.491536\pi\) |
−0.566068 | + | 0.824359i | \(0.691536\pi\) | |||||||
\(462\) | −9.27839 | − | 8.42615i | −0.431670 | − | 0.392020i | ||||
\(463\) | 5.50572 | − | 1.78892i | 0.255872 | − | 0.0831380i | −0.178272 | − | 0.983981i | \(-0.557051\pi\) |
0.434145 | + | 0.900843i | \(0.357051\pi\) | |||||||
\(464\) | 7.17828 | + | 5.44689i | 0.333243 | + | 0.252865i | ||||
\(465\) | 25.0453 | + | 0.918440i | 1.16145 | + | 0.0425916i | ||||
\(466\) | 0.597711 | − | 0.140216i | 0.0276884 | − | 0.00649537i | ||||
\(467\) | 14.7510 | − | 10.7172i | 0.682594 | − | 0.495933i | −0.191623 | − | 0.981469i | \(-0.561375\pi\) |
0.874217 | + | 0.485535i | \(0.161375\pi\) | |||||||
\(468\) | 18.5882 | − | 31.5714i | 0.859242 | − | 1.45939i | ||||
\(469\) | 5.13605 | − | 3.73156i | 0.237161 | − | 0.172307i | ||||
\(470\) | −19.7096 | − | 1.88105i | −0.909138 | − | 0.0867663i | ||||
\(471\) | −0.248227 | + | 9.83157i | −0.0114377 | + | 0.453015i | ||||
\(472\) | −21.2910 | − | 25.7304i | −0.979999 | − | 1.18434i | ||||
\(473\) | −4.54660 | − | 1.47728i | −0.209053 | − | 0.0679254i | ||||
\(474\) | 29.4653 | − | 16.8448i | 1.35339 | − | 0.773708i | ||||
\(475\) | 11.0641 | − | 14.5197i | 0.507657 | − | 0.666208i | ||||
\(476\) | 8.58716 | + | 1.45174i | 0.393592 | + | 0.0665403i | ||||
\(477\) | −18.2541 | + | 22.6286i | −0.835798 | + | 1.03609i | ||||
\(478\) | −29.3809 | − | 25.3589i | −1.34385 | − | 1.15989i | ||||
\(479\) | −26.7381 | − | 19.4263i | −1.22169 | − | 0.887612i | −0.225454 | − | 0.974254i | \(-0.572386\pi\) |
−0.996240 | + | 0.0866417i | \(0.972386\pi\) | |||||||
\(480\) | −19.3604 | + | 10.2555i | −0.883678 | + | 0.468096i | ||||
\(481\) | −52.0267 | + | 37.7996i | −2.37221 | + | 1.72351i | ||||
\(482\) | −13.9470 | − | 1.17063i | −0.635269 | − | 0.0533207i | ||||
\(483\) | −7.56010 | + | 21.4128i | −0.343997 | + | 0.974318i | ||||
\(484\) | −2.38822 | − | 16.1645i | −0.108555 | − | 0.734748i | ||||
\(485\) | 0.535099 | + | 1.71314i | 0.0242976 | + | 0.0777898i | ||||
\(486\) | −19.0862 | − | 11.0325i | −0.865770 | − | 0.500443i | ||||
\(487\) | 10.5341 | − | 3.42275i | 0.477347 | − | 0.155100i | −0.0604543 | − | 0.998171i | \(-0.519255\pi\) |
0.537802 | + | 0.843071i | \(0.319255\pi\) | |||||||
\(488\) | −0.109893 | − | 1.74352i | −0.00497461 | − | 0.0789253i | ||||
\(489\) | −2.32758 | − | 7.83081i | −0.105257 | − | 0.354122i | ||||
\(490\) | −6.13099 | + | 3.61840i | −0.276970 | + | 0.163462i | ||||
\(491\) | 5.36273 | + | 16.5048i | 0.242017 | + | 0.744851i | 0.996113 | + | 0.0880867i | \(0.0280753\pi\) |
−0.754096 | + | 0.656764i | \(0.771925\pi\) | |||||||
\(492\) | −14.8662 | + | 26.7731i | −0.670221 | + | 1.20703i | ||||
\(493\) | −3.22513 | −0.145252 | ||||||||
\(494\) | −16.3332 | − | 26.9669i | −0.734863 | − | 1.21330i | ||||
\(495\) | −9.52260 | + | 6.05572i | −0.428009 | + | 0.272184i | ||||
\(496\) | −21.2525 | + | 14.7756i | −0.954264 | + | 0.663446i | ||||
\(497\) | −0.732131 | + | 1.00769i | −0.0328406 | + | 0.0452011i | ||||
\(498\) | 17.1817 | − | 3.57565i | 0.769932 | − | 0.160229i | ||||
\(499\) | 5.14989i | 0.230541i | 0.993334 | + | 0.115270i | \(0.0367734\pi\) | ||||
−0.993334 | + | 0.115270i | \(0.963227\pi\) | |||||||
\(500\) | −20.3566 | + | 9.25249i | −0.910375 | + | 0.413784i | ||||
\(501\) | −13.5573 | − | 19.6864i | −0.605695 | − | 0.879524i | ||||
\(502\) | −1.65703 | + | 3.94233i | −0.0739567 | + | 0.175955i | ||||
\(503\) | 17.6453 | + | 12.8201i | 0.786766 | + | 0.571619i | 0.907002 | − | 0.421126i | \(-0.138365\pi\) |
−0.120236 | + | 0.992745i | \(0.538365\pi\) | |||||||
\(504\) | 8.28057 | + | 24.4443i | 0.368846 | + | 1.08883i | ||||
\(505\) | 13.1977 | − | 17.7359i | 0.587291 | − | 0.789237i | ||||
\(506\) | 8.77152 | − | 5.31268i | 0.389942 | − | 0.236177i | ||||
\(507\) | −23.8576 | − | 34.6434i | −1.05955 | − | 1.53857i | ||||
\(508\) | 0.0904814 | + | 0.182239i | 0.00401446 | + | 0.00808553i | ||||
\(509\) | 26.8890 | − | 8.73676i | 1.19183 | − | 0.387250i | 0.355083 | − | 0.934835i | \(-0.384453\pi\) |
0.836750 | + | 0.547585i | \(0.184453\pi\) | |||||||
\(510\) | 3.30130 | − | 7.11270i | 0.146184 | − | 0.314956i | ||||
\(511\) | −6.15735 | − | 2.00064i | −0.272385 | − | 0.0885033i | ||||
\(512\) | 9.62727 | − | 20.4772i | 0.425469 | − | 0.904973i | ||||
\(513\) | −16.1474 | + | 9.95771i | −0.712925 | + | 0.439644i | ||||
\(514\) | 22.8645 | + | 9.61034i | 1.00851 | + | 0.423894i | ||||
\(515\) | −15.9607 | + | 4.98531i | −0.703312 | + | 0.219679i | ||||
\(516\) | 6.70837 | + | 7.20441i | 0.295320 | + | 0.317157i | ||||
\(517\) | 8.52121 | − | 6.19102i | 0.374763 | − | 0.272281i | ||||
\(518\) | 3.78903 | − | 45.1429i | 0.166480 | − | 1.98347i | ||||
\(519\) | 7.94658 | − | 22.5075i | 0.348816 | − | 0.987968i | ||||
\(520\) | 1.98930 | + | 38.5676i | 0.0872367 | + | 1.69130i | ||||
\(521\) | 14.3419 | − | 19.7399i | 0.628330 | − | 0.864822i | −0.369596 | − | 0.929193i | \(-0.620504\pi\) |
0.997926 | + | 0.0643702i | \(0.0205038\pi\) | |||||||
\(522\) | −4.53251 | − | 8.41440i | −0.198382 | − | 0.368288i | ||||
\(523\) | −22.5818 | − | 7.33727i | −0.987432 | − | 0.320836i | −0.229600 | − | 0.973285i | \(-0.573742\pi\) |
−0.757833 | + | 0.652449i | \(0.773742\pi\) | |||||||
\(524\) | −6.43034 | − | 1.08711i | −0.280911 | − | 0.0474905i | ||||
\(525\) | 6.92670 | + | 25.4139i | 0.302306 | + | 1.10915i | ||||
\(526\) | 36.3528 | + | 3.05124i | 1.58506 | + | 0.133040i | ||||
\(527\) | 2.86282 | − | 8.81085i | 0.124706 | − | 0.383807i | ||||
\(528\) | 4.10791 | − | 10.9072i | 0.178774 | − | 0.474675i | ||||
\(529\) | 3.57587 | + | 2.59802i | 0.155472 | + | 0.112957i | ||||
\(530\) | 2.91157 | − | 30.5075i | 0.126471 | − | 1.32516i | ||||
\(531\) | 9.23226 | + | 34.1987i | 0.400646 | + | 1.48410i | ||||
\(532\) | 21.8986 | + | 3.70216i | 0.949426 | + | 0.160509i | ||||
\(533\) | 31.7288 | + | 43.6710i | 1.37433 | + | 1.89160i | ||||
\(534\) | 0.635177 | + | 0.576835i | 0.0274868 | + | 0.0249621i | ||||
\(535\) | −2.26869 | − | 1.68819i | −0.0980840 | − | 0.0729868i | ||||
\(536\) | 4.98493 | + | 3.16273i | 0.215316 | + | 0.136609i | ||||
\(537\) | −7.03963 | + | 9.19205i | −0.303782 | + | 0.396666i | ||||
\(538\) | −13.8400 | + | 3.24670i | −0.596685 | + | 0.139975i | ||||
\(539\) | 1.17032 | − | 3.60187i | 0.0504092 | − | 0.155144i | ||||
\(540\) | 23.1967 | − | 1.38286i | 0.998228 | − | 0.0595087i | ||||
\(541\) | −1.16792 | − | 3.59447i | −0.0502126 | − | 0.154539i | 0.922806 | − | 0.385265i | \(-0.125890\pi\) |
−0.973019 | + | 0.230726i | \(0.925890\pi\) | |||||||
\(542\) | 6.09282 | + | 10.0596i | 0.261709 | + | 0.432096i | ||||
\(543\) | 16.8111 | + | 24.4113i | 0.721435 | + | 1.04759i | ||||
\(544\) | 1.68531 | + | 7.92137i | 0.0722573 | + | 0.339626i | ||||
\(545\) | 8.84937 | − | 26.2138i | 0.379065 | − | 1.12288i | ||||
\(546\) | 45.2232 | + | 4.94805i | 1.93538 | + | 0.211757i | ||||
\(547\) | −19.7513 | + | 27.1853i | −0.844503 | + | 1.16236i | 0.140544 | + | 0.990074i | \(0.455115\pi\) |
−0.985047 | + | 0.172284i | \(0.944885\pi\) | |||||||
\(548\) | −2.67786 | − | 1.39969i | −0.114393 | − | 0.0597919i | ||||
\(549\) | −0.660793 | + | 1.73112i | −0.0282020 | + | 0.0738824i | ||||
\(550\) | 4.85833 | − | 10.8581i | 0.207160 | − | 0.462991i | ||||
\(551\) | −8.22458 | −0.350379 | ||||||||
\(552\) | −21.1018 | + | 0.795987i | −0.898152 | + | 0.0338795i | ||||
\(553\) | 34.0957 | + | 24.7720i | 1.44990 | + | 1.05341i | ||||
\(554\) | −6.84951 | − | 5.91188i | −0.291008 | − | 0.251172i | ||||
\(555\) | −38.3048 | − | 14.0177i | −1.62595 | − | 0.595017i | ||||
\(556\) | −7.75579 | − | 15.6210i | −0.328919 | − | 0.662476i | ||||
\(557\) | 42.7946i | 1.81327i | 0.421920 | + | 0.906633i | \(0.361356\pi\) | ||||
−0.421920 | + | 0.906633i | \(0.638644\pi\) | |||||||
\(558\) | 27.0110 | − | 4.91340i | 1.14347 | − | 0.208001i | ||||
\(559\) | 16.5029 | − | 5.36212i | 0.697998 | − | 0.226793i | ||||
\(560\) | −21.4829 | − | 16.6909i | −0.907817 | − | 0.705321i | ||||
\(561\) | 1.18853 | + | 3.99863i | 0.0501796 | + | 0.168822i | ||||
\(562\) | 32.8045 | − | 7.69553i | 1.38377 | − | 0.324616i | ||||
\(563\) | 11.2765 | + | 34.7054i | 0.475246 | + | 1.46266i | 0.845626 | + | 0.533776i | \(0.179227\pi\) |
−0.370380 | + | 0.928880i | \(0.620773\pi\) | |||||||
\(564\) | −21.5292 | + | 2.62746i | −0.906543 | + | 0.110636i | ||||
\(565\) | −31.8967 | − | 10.7678i | −1.34190 | − | 0.453005i | ||||
\(566\) | 33.7857 | − | 7.92571i | 1.42012 | − | 0.333143i | ||||
\(567\) | 2.75930 | − | 27.2349i | 0.115880 | − | 1.14376i | ||||
\(568\) | −1.12193 | − | 0.287925i | −0.0470750 | − | 0.0120811i | ||||
\(569\) | 25.5787 | + | 35.2061i | 1.07232 | + | 1.47592i | 0.867709 | + | 0.497073i | \(0.165592\pi\) |
0.204608 | + | 0.978844i | \(0.434408\pi\) | |||||||
\(570\) | 8.41884 | − | 18.1385i | 0.352627 | − | 0.759739i | ||||
\(571\) | −11.6501 | + | 16.0349i | −0.487539 | + | 0.671040i | −0.979932 | − | 0.199333i | \(-0.936123\pi\) |
0.492392 | + | 0.870373i | \(0.336123\pi\) | |||||||
\(572\) | −14.3754 | − | 14.6774i | −0.601064 | − | 0.613693i | ||||
\(573\) | −14.5088 | + | 4.31250i | −0.606115 | + | 0.180157i | ||||
\(574\) | −37.8928 | − | 3.18050i | −1.58161 | − | 0.132751i | ||||
\(575\) | −21.5466 | − | 0.491868i | −0.898557 | − | 0.0205123i | ||||
\(576\) | −18.2985 | + | 15.5295i | −0.762437 | + | 0.647063i | ||||
\(577\) | −8.83017 | + | 27.1765i | −0.367605 | + | 1.13137i | 0.580729 | + | 0.814097i | \(0.302768\pi\) |
−0.948334 | + | 0.317274i | \(0.897232\pi\) | |||||||
\(578\) | 16.0057 | + | 13.8147i | 0.665748 | + | 0.574614i | ||||
\(579\) | 0.0619579 | − | 2.45398i | 0.00257488 | − | 0.101984i | ||||
\(580\) | 8.87457 | + | 4.76838i | 0.368496 | + | 0.197996i | ||||
\(581\) | 12.8090 | + | 17.6301i | 0.531409 | + | 0.731421i | ||||
\(582\) | 0.975772 | + | 1.70684i | 0.0404470 | + | 0.0707508i | ||||
\(583\) | 9.58274 | + | 13.1895i | 0.396877 | + | 0.546254i | ||||
\(584\) | −0.378716 | − | 6.00857i | −0.0156714 | − | 0.248636i | ||||
\(585\) | 15.0433 | − | 38.0991i | 0.621965 | − | 1.57520i | ||||
\(586\) | 6.02047 | + | 2.53050i | 0.248703 | + | 0.104534i | ||||
\(587\) | −8.49989 | − | 26.1600i | −0.350828 | − | 1.07974i | −0.958389 | − | 0.285465i | \(-0.907852\pi\) |
0.607561 | − | 0.794273i | \(-0.292148\pi\) | |||||||
\(588\) | −5.70743 | + | 5.31446i | −0.235370 | + | 0.219165i | ||||
\(589\) | 7.30065 | − | 22.4691i | 0.300818 | − | 0.925822i | ||||
\(590\) | −27.9861 | − | 24.7180i | −1.15217 | − | 1.01762i | ||||
\(591\) | −6.43952 | − | 4.93163i | −0.264886 | − | 0.202860i | ||||
\(592\) | 40.3270 | − | 12.1821i | 1.65743 | − | 0.500682i | ||||
\(593\) | 41.8987i | 1.72057i | 0.509810 | + | 0.860287i | \(0.329716\pi\) | ||||
−0.509810 | + | 0.860287i | \(0.670284\pi\) | |||||||
\(594\) | −8.76217 | + | 8.72046i | −0.359516 | + | 0.357805i | ||||
\(595\) | 9.73634 | + | 0.111116i | 0.399151 | + | 0.00455533i | ||||
\(596\) | −11.2140 | + | 10.9832i | −0.459343 | + | 0.449890i | ||||
\(597\) | 31.4211 | + | 0.793319i | 1.28598 | + | 0.0324684i | ||||
\(598\) | −14.4231 | + | 34.3147i | −0.589802 | + | 1.40323i | ||||
\(599\) | 12.8584 | 0.525378 | 0.262689 | − | 0.964881i | \(-0.415391\pi\) | ||||
0.262689 | + | 0.964881i | \(0.415391\pi\) | |||||||
\(600\) | −19.6004 | + | 14.6910i | −0.800182 | + | 0.599757i | ||||
\(601\) | 0.0506283 | 0.00206517 | 0.00103259 | − | 0.999999i | \(-0.499671\pi\) | ||||
0.00103259 | + | 0.999999i | \(0.499671\pi\) | |||||||
\(602\) | −4.73641 | + | 11.2687i | −0.193042 | + | 0.459277i | ||||
\(603\) | −3.42021 | − | 5.24510i | −0.139282 | − | 0.213597i | ||||
\(604\) | −31.4811 | + | 30.8333i | −1.28095 | + | 1.25459i | ||||
\(605\) | −5.44666 | − | 17.4378i | −0.221438 | − | 0.708946i | ||||
\(606\) | 9.94434 | − | 22.0817i | 0.403961 | − | 0.897007i | ||||
\(607\) | − | 7.02033i | − | 0.284946i | −0.989799 | − | 0.142473i | \(-0.954495\pi\) | ||
0.989799 | − | 0.142473i | \(-0.0455055\pi\) | |||||||
\(608\) | 4.29782 | + | 20.2008i | 0.174300 | + | 0.819249i | ||||
\(609\) | 7.21581 | − | 9.42210i | 0.292400 | − | 0.381803i | ||||
\(610\) | −0.424353 | − | 1.90652i | −0.0171816 | − | 0.0771929i | ||||
\(611\) | −11.8141 | + | 36.3600i | −0.477946 | + | 1.47097i | ||||
\(612\) | 1.85748 | − | 8.38670i | 0.0750841 | − | 0.339012i | ||||
\(613\) | 8.12803 | + | 25.0155i | 0.328288 | + | 1.01037i | 0.969935 | + | 0.243366i | \(0.0782516\pi\) |
−0.641647 | + | 0.767000i | \(0.721748\pi\) | |||||||
\(614\) | −18.0588 | − | 7.59041i | −0.728794 | − | 0.306324i | ||||
\(615\) | −11.7664 | + | 32.1529i | −0.474467 | + | 1.29653i | ||||
\(616\) | 14.4438 | − | 0.910380i | 0.581956 | − | 0.0366803i | ||||
\(617\) | 5.27723 | + | 7.26349i | 0.212453 | + | 0.292417i | 0.901922 | − | 0.431898i | \(-0.142156\pi\) |
−0.689469 | + | 0.724315i | \(0.742156\pi\) | |||||||
\(618\) | −15.9020 | + | 9.09089i | −0.639671 | + | 0.365689i | ||||
\(619\) | 0.953984 | + | 1.31305i | 0.0383438 | + | 0.0527758i | 0.827758 | − | 0.561085i | \(-0.189616\pi\) |
−0.789415 | + | 0.613860i | \(0.789616\pi\) | |||||||
\(620\) | −20.9045 | + | 20.0121i | −0.839546 | + | 0.803705i | ||||
\(621\) | 20.7169 | + | 8.51303i | 0.831339 | + | 0.341616i | ||||
\(622\) | 1.20868 | + | 1.04323i | 0.0484638 | + | 0.0418296i | ||||
\(623\) | −0.329232 | + | 1.01327i | −0.0131904 | + | 0.0405958i | ||||
\(624\) | 11.2076 | + | 40.7933i | 0.448662 | + | 1.63304i | ||||
\(625\) | −20.8749 | + | 13.7564i | −0.834996 | + | 0.550256i | ||||
\(626\) | 8.94300 | + | 0.750622i | 0.357434 | + | 0.0300009i | ||||
\(627\) | 3.03093 | + | 10.1971i | 0.121044 | + | 0.407235i | ||||
\(628\) | −7.94609 | − | 8.11305i | −0.317084 | − | 0.323746i | ||||
\(629\) | −8.86249 | + | 12.1982i | −0.353371 | + | 0.486373i | ||||
\(630\) | 13.3933 | + | 25.5584i | 0.533602 | + | 1.01827i | ||||
\(631\) | −10.2745 | − | 14.1416i | −0.409020 | − | 0.562968i | 0.553959 | − | 0.832544i | \(-0.313116\pi\) |
−0.962979 | + | 0.269576i | \(0.913116\pi\) | |||||||
\(632\) | −9.74207 | + | 37.9608i | −0.387519 | + | 1.51000i | ||||
\(633\) | 0.287500 | − | 0.814301i | 0.0114271 | − | 0.0323656i | ||||
\(634\) | 22.6181 | − | 5.30594i | 0.898280 | − | 0.210726i | ||||
\(635\) | 0.131601 | + | 0.185549i | 0.00522241 | + | 0.00736330i | ||||
\(636\) | −4.06690 | − | 33.3239i | −0.161263 | − | 1.32138i | ||||
\(637\) | 4.24794 | + | 13.0738i | 0.168309 | + | 0.518003i | ||||
\(638\) | −5.21779 | + | 1.22403i | −0.206574 | + | 0.0484598i | ||||
\(639\) | 0.956206 | + | 0.771357i | 0.0378269 | + | 0.0305144i | ||||
\(640\) | 7.07434 | − | 24.2890i | 0.279638 | − | 0.960105i | ||||
\(641\) | 16.7565 | − | 5.44451i | 0.661841 | − | 0.215045i | 0.0412132 | − | 0.999150i | \(-0.486878\pi\) |
0.620628 | + | 0.784105i | \(0.286878\pi\) | |||||||
\(642\) | −2.82458 | − | 1.27203i | −0.111477 | − | 0.0502031i | ||||
\(643\) | − | 0.955734i | − | 0.0376905i | −0.999822 | − | 0.0188452i | \(-0.994001\pi\) | ||
0.999822 | − | 0.0188452i | \(-0.00599898\pi\) | |||||||
\(644\) | −11.6607 | − | 23.4858i | −0.459495 | − | 0.925469i | ||||
\(645\) | 8.66100 | + | 6.79113i | 0.341026 | + | 0.267400i | ||||
\(646\) | −5.59586 | − | 4.82984i | −0.220166 | − | 0.190028i | ||||
\(647\) | −16.6821 | − | 12.1203i | −0.655843 | − | 0.476498i | 0.209414 | − | 0.977827i | \(-0.432844\pi\) |
−0.865256 | + | 0.501329i | \(0.832844\pi\) | |||||||
\(648\) | 24.4915 | − | 6.94026i | 0.962116 | − | 0.272639i | ||||
\(649\) | 19.8637 | 0.779717 | ||||||||
\(650\) | 8.89923 | + | 42.2502i | 0.349057 | + | 1.65719i | ||||
\(651\) | 19.3354 | + | 28.0768i | 0.757816 | + | 1.10042i | ||||
\(652\) | 8.36009 | + | 4.36974i | 0.327406 | + | 0.171132i | ||||
\(653\) | 22.0395 | − | 30.3348i | 0.862473 | − | 1.18709i | −0.118501 | − | 0.992954i | \(-0.537809\pi\) |
0.980974 | − | 0.194138i | \(-0.0621911\pi\) | |||||||
\(654\) | 3.29644 | − | 30.1281i | 0.128901 | − | 1.17810i | ||||
\(655\) | −7.29088 | − | 0.0832076i | −0.284878 | − | 0.00325119i | ||||
\(656\) | −10.2256 | − | 33.8503i | −0.399244 | − | 1.32163i | ||||
\(657\) | −2.27725 | + | 5.96584i | −0.0888439 | + | 0.232750i | ||||
\(658\) | −13.9522 | − | 23.0359i | −0.543914 | − | 0.898031i | ||||
\(659\) | −8.81637 | − | 27.1340i | −0.343437 | − | 1.05699i | −0.962415 | − | 0.271583i | \(-0.912453\pi\) |
0.618978 | − | 0.785408i | \(-0.287547\pi\) | |||||||
\(660\) | 2.64155 | − | 12.7603i | 0.102822 | − | 0.496693i | ||||
\(661\) | 7.02217 | − | 21.6120i | 0.273131 | − | 0.840611i | −0.716577 | − | 0.697508i | \(-0.754292\pi\) |
0.989708 | − | 0.143103i | \(-0.0457079\pi\) | |||||||
\(662\) | 29.6024 | − | 6.94438i | 1.15053 | − | 0.269901i | ||||
\(663\) | −12.0212 | − | 9.20630i | −0.466864 | − | 0.357543i | ||||
\(664\) | −10.8565 | + | 17.1114i | −0.421313 | + | 0.664051i | ||||
\(665\) | 24.8292 | + | 0.283365i | 0.962836 | + | 0.0109884i | ||||
\(666\) | −44.2803 | − | 5.97939i | −1.71583 | − | 0.231697i | ||||
\(667\) | 5.70755 | + | 7.85576i | 0.220997 | + | 0.304176i | ||||
\(668\) | 27.2147 | + | 4.60089i | 1.05297 | + | 0.178014i | ||||
\(669\) | −15.0565 | + | 42.6451i | −0.582116 | + | 1.64876i | ||||
\(670\) | 6.05519 | + | 2.62680i | 0.233933 | + | 0.101482i | ||||
\(671\) | 0.840613 | + | 0.610741i | 0.0324515 | + | 0.0235774i | ||||
\(672\) | −26.9127 | − | 12.7995i | −1.03818 | − | 0.493751i | ||||
\(673\) | 6.16364 | − | 18.9697i | 0.237591 | − | 0.731229i | −0.759176 | − | 0.650885i | \(-0.774398\pi\) |
0.996767 | − | 0.0803443i | \(-0.0256020\pi\) | |||||||
\(674\) | −40.3676 | − | 3.38821i | −1.55490 | − | 0.130509i | ||||
\(675\) | 25.3792 | − | 5.55834i | 0.976847 | − | 0.213941i | ||||
\(676\) | 47.8913 | + | 8.09646i | 1.84197 | + | 0.311402i | ||||
\(677\) | −26.2349 | − | 8.52425i | −1.00829 | − | 0.327613i | −0.242117 | − | 0.970247i | \(-0.577842\pi\) |
−0.766174 | + | 0.642634i | \(0.777842\pi\) | |||||||
\(678\) | −36.6596 | − | 4.01107i | −1.40790 | − | 0.154044i | ||||
\(679\) | −1.43497 | + | 1.97507i | −0.0550690 | + | 0.0757960i | ||||
\(680\) | 3.23789 | + | 8.45586i | 0.124167 | + | 0.324267i | ||||
\(681\) | 21.2779 | + | 7.51246i | 0.815371 | + | 0.287878i | ||||
\(682\) | 1.28765 | − | 15.3412i | 0.0493067 | − | 0.587446i | ||||
\(683\) | −10.0330 | + | 7.28938i | −0.383901 | + | 0.278920i | −0.762952 | − | 0.646456i | \(-0.776251\pi\) |
0.379051 | + | 0.925376i | \(0.376251\pi\) | |||||||
\(684\) | 4.73687 | − | 21.3874i | 0.181119 | − | 0.817768i | ||||
\(685\) | −3.20079 | − | 1.08054i | −0.122296 | − | 0.0412851i | ||||
\(686\) | 18.8307 | + | 7.91487i | 0.718960 | + | 0.302191i | ||||
\(687\) | 11.2021 | − | 14.6273i | 0.427388 | − | 0.558066i | ||||
\(688\) | −11.3645 | − | 0.236322i | −0.433268 | − | 0.00900969i | ||||
\(689\) | −56.2796 | − | 18.2863i | −2.14408 | − | 0.696654i | ||||
\(690\) | −23.1675 | + | 4.54613i | −0.881971 | + | 0.173068i | ||||
\(691\) | 19.0094 | − | 6.17654i | 0.723153 | − | 0.234967i | 0.0757631 | − | 0.997126i | \(-0.475861\pi\) |
0.647390 | + | 0.762159i | \(0.275861\pi\) | |||||||
\(692\) | 12.2568 | + | 24.6864i | 0.465932 | + | 0.938435i | ||||
\(693\) | −14.3411 | − | 5.47419i | −0.544772 | − | 0.207947i | ||||
\(694\) | −3.03320 | + | 1.83713i | −0.115139 | + | 0.0697365i | ||||
\(695\) | −11.2804 | − | 15.9047i | −0.427891 | − | 0.603301i | ||||
\(696\) | 10.6170 | + | 3.01227i | 0.402436 | + | 0.114180i | ||||
\(697\) | 10.2391 | + | 7.43914i | 0.387834 | + | 0.281778i | ||||
\(698\) | −10.5629 | + | 25.1308i | −0.399812 | + | 0.951216i | ||||
\(699\) | 0.619275 | − | 0.426471i | 0.0234231 | − | 0.0161306i | ||||
\(700\) | −26.6272 | − | 14.7010i | −1.00641 | − | 0.555647i | ||||
\(701\) | − | 40.5082i | − | 1.52997i | −0.644046 | − | 0.764987i | \(-0.722745\pi\) | ||
0.644046 | − | 0.764987i | \(-0.277255\pi\) | |||||||
\(702\) | 7.12510 | − | 44.3018i | 0.268920 | − | 1.67206i | ||||
\(703\) | −22.6008 | + | 31.1073i | −0.852404 | + | 1.17323i | ||||
\(704\) | 5.73299 | + | 12.1760i | 0.216070 | + | 0.458901i | ||||
\(705\) | −23.3213 | + | 6.64317i | −0.878329 | + | 0.250196i | ||||
\(706\) | 23.4212 | + | 38.6697i | 0.881469 | + | 1.45535i | ||||
\(707\) | 30.0715 | 1.13096 | ||||||||
\(708\) | −35.7599 | − | 19.8563i | −1.34394 | − | 0.746245i | ||||
\(709\) | 10.9326 | + | 33.6469i | 0.410581 | + | 1.26364i | 0.916145 | + | 0.400848i | \(0.131284\pi\) |
−0.505564 | + | 0.862789i | \(0.668716\pi\) | |||||||
\(710\) | −1.28914 | − | 0.123033i | −0.0483806 | − | 0.00461735i | ||||
\(711\) | 26.0992 | − | 32.3536i | 0.978796 | − | 1.21336i | ||||
\(712\) | −0.988787 | + | 0.0623225i | −0.0370563 | + | 0.00233563i | ||||
\(713\) | −26.5279 | + | 8.61942i | −0.993476 | + | 0.322800i | ||||
\(714\) | 10.4426 | − | 2.17318i | 0.390804 | − | 0.0813293i | ||||
\(715\) | −18.4274 | − | 13.7123i | −0.689146 | − | 0.512811i | ||||
\(716\) | −1.95401 | − | 13.2256i | −0.0730247 | − | 0.494262i | ||||
\(717\) | −44.8222 | − | 15.8251i | −1.67392 | − | 0.591000i | ||||
\(718\) | 10.3592 | + | 0.869493i | 0.386603 | + | 0.0324492i | ||||
\(719\) | −29.3222 | + | 21.3038i | −1.09353 | + | 0.794497i | −0.979992 | − | 0.199036i | \(-0.936219\pi\) |
−0.113540 | + | 0.993533i | \(0.536219\pi\) | |||||||
\(720\) | −17.5110 | + | 20.3314i | −0.652598 | + | 0.757705i | ||||
\(721\) | −18.4009 | − | 13.3691i | −0.685286 | − | 0.497889i | ||||
\(722\) | 6.07084 | + | 5.23981i | 0.225933 | + | 0.195005i | ||||
\(723\) | −16.4311 | + | 4.88388i | −0.611081 | + | 0.181634i | ||||
\(724\) | −33.7464 | − | 5.70514i | −1.25418 | − | 0.212030i | ||||
\(725\) | 10.6301 | + | 3.72422i | 0.394793 | + | 0.138314i | ||||
\(726\) | −9.93219 | − | 17.3736i | −0.368618 | − | 0.644794i | ||||
\(727\) | −30.3883 | − | 9.87376i | −1.12704 | − | 0.366197i | −0.314589 | − | 0.949228i | \(-0.601867\pi\) |
−0.812450 | + | 0.583030i | \(0.801867\pi\) | |||||||
\(728\) | −40.4720 | + | 33.4891i | −1.49999 | + | 1.24119i | ||||
\(729\) | −26.6909 | − | 4.07368i | −0.988553 | − | 0.150877i | ||||
\(730\) | −1.46242 | − | 6.57033i | −0.0541266 | − | 0.243179i | ||||
\(731\) | 3.29140 | − | 2.39134i | 0.121737 | − | 0.0884469i | ||||
\(732\) | −0.902815 | − | 1.93980i | −0.0333690 | − | 0.0716970i | ||||
\(733\) | 13.6374 | − | 9.90812i | 0.503707 | − | 0.365965i | −0.306724 | − | 0.951798i | \(-0.599233\pi\) |
0.810431 | + | 0.585834i | \(0.199233\pi\) | |||||||
\(734\) | −43.8898 | + | 10.2960i | −1.62000 | + | 0.380033i | ||||
\(735\) | −5.38002 | + | 6.86135i | −0.198445 | + | 0.253085i | ||||
\(736\) | 16.3124 | − | 18.1236i | 0.601282 | − | 0.668046i | ||||
\(737\) | −3.33944 | + | 1.08505i | −0.123010 | + | 0.0399683i | ||||
\(738\) | −5.01908 | + | 37.1688i | −0.184755 | + | 1.36820i | ||||
\(739\) | 43.6990 | + | 14.1987i | 1.60750 | + | 0.522307i | 0.968946 | − | 0.247274i | \(-0.0795347\pi\) |
0.638550 | + | 0.769581i | \(0.279535\pi\) | |||||||
\(740\) | 42.4220 | − | 20.4624i | 1.55946 | − | 0.752213i | ||||
\(741\) | −30.6560 | − | 23.4775i | −1.12617 | − | 0.862468i | ||||
\(742\) | 35.6559 | − | 21.5958i | 1.30897 | − | 0.792808i | ||||
\(743\) | −8.90590 | −0.326726 | −0.163363 | − | 0.986566i | \(-0.552234\pi\) | ||||
−0.163363 | + | 0.986566i | \(0.552234\pi\) | |||||||
\(744\) | −17.6536 | + | 26.3311i | −0.647214 | + | 0.965347i | ||||
\(745\) | −10.4766 | + | 14.0791i | −0.383834 | + | 0.515819i | ||||
\(746\) | 6.67706 | + | 5.76304i | 0.244464 | + | 0.211000i | ||||
\(747\) | 18.0045 | − | 11.7403i | 0.658749 | − | 0.429555i | ||||
\(748\) | −4.26889 | − | 2.23131i | −0.156086 | − | 0.0815848i | ||||
\(749\) | − | 3.84660i | − | 0.140552i | ||||||
\(750\) | −19.0946 | + | 19.6315i | −0.697236 | + | 0.716841i | ||||
\(751\) | 23.1460i | 0.844609i | 0.906454 | + | 0.422305i | \(0.138779\pi\) | ||||
−0.906454 | + | 0.422305i | \(0.861221\pi\) | |||||||
\(752\) | 15.1387 | − | 19.9508i | 0.552051 | − | 0.727530i | ||||
\(753\) | −0.132194 | + | 5.23584i | −0.00481743 | + | 0.190805i | ||||
\(754\) | 12.7106 | − | 14.7265i | 0.462893 | − | 0.536308i | ||||
\(755\) | −29.4111 | + | 39.5244i | −1.07038 | + | 1.43844i | ||||
\(756\) | 20.3456 | + | 24.1908i | 0.739963 | + | 0.879809i | ||||
\(757\) | 9.48600 | 0.344775 | 0.172387 | − | 0.985029i | \(-0.444852\pi\) | ||||
0.172387 | + | 0.985029i | \(0.444852\pi\) | |||||||
\(758\) | −15.0138 | − | 24.7887i | −0.545327 | − | 0.900365i | ||||
\(759\) | 7.63652 | − | 9.97145i | 0.277188 | − | 0.361941i | ||||
\(760\) | 8.25714 | + | 21.5638i | 0.299518 | + | 0.782201i | ||||
\(761\) | −10.5358 | − | 3.42328i | −0.381922 | − | 0.124094i | 0.111763 | − | 0.993735i | \(-0.464350\pi\) |
−0.493685 | + | 0.869641i | \(0.664350\pi\) | |||||||
\(762\) | 0.184474 | + | 0.167530i | 0.00668278 | + | 0.00606896i | ||||
\(763\) | 35.7921 | − | 11.6296i | 1.29576 | − | 0.421019i | ||||
\(764\) | 8.09619 | − | 15.4894i | 0.292910 | − | 0.560389i | ||||
\(765\) | 0.594072 | − | 9.58545i | 0.0214787 | − | 0.346563i | ||||
\(766\) | 9.55117 | + | 40.7147i | 0.345098 | + | 1.47108i | ||||
\(767\) | −58.3298 | + | 42.3791i | −2.10617 | + | 1.53022i | ||||
\(768\) | 1.85056 | − | 27.6510i | 0.0667764 | − | 0.997768i | ||||
\(769\) | 12.2565 | − | 8.90484i | 0.441979 | − | 0.321117i | −0.344442 | − | 0.938808i | \(-0.611932\pi\) |
0.786421 | + | 0.617691i | \(0.211932\pi\) | |||||||
\(770\) | 15.7942 | − | 3.51546i | 0.569182 | − | 0.126688i | ||||
\(771\) | 30.3666 | + | 0.766695i | 1.09363 | + | 0.0276118i | ||||
\(772\) | 1.98336 | + | 2.02503i | 0.0713826 | + | 0.0728825i | ||||
\(773\) | −45.3461 | − | 14.7338i | −1.63099 | − | 0.529940i | −0.656489 | − | 0.754336i | \(-0.727959\pi\) |
−0.974498 | + | 0.224396i | \(0.927959\pi\) | |||||||
\(774\) | 10.8647 | + | 5.22658i | 0.390523 | + | 0.187866i | ||||
\(775\) | −19.6103 | + | 25.7350i | −0.704423 | + | 0.924429i | ||||
\(776\) | −2.19896 | − | 0.564330i | −0.0789382 | − | 0.0202583i | ||||
\(777\) | −15.8079 | − | 53.1834i | −0.567104 | − | 1.90794i | ||||
\(778\) | −6.40384 | + | 7.41949i | −0.229589 | + | 0.266002i | ||||
\(779\) | 26.1113 | + | 18.9710i | 0.935536 | + | 0.679707i | ||||
\(780\) | 19.4671 | + | 43.1064i | 0.697033 | + | 1.54346i | ||||
\(781\) | 0.557344 | − | 0.404934i | 0.0199433 | − | 0.0144897i | ||||
\(782\) | −0.729945 | + | 8.69665i | −0.0261028 | + | 0.310991i | ||||
\(783\) | −8.92227 | − | 7.57705i | −0.318856 | − | 0.270782i | ||||
\(784\) | 0.187217 | − | 9.00310i | 0.00668633 | − | 0.321539i | ||||
\(785\) | −10.1859 | − | 7.57958i | −0.363550 | − | 0.270527i | ||||
\(786\) | −7.81974 | + | 1.62735i | −0.278921 | + | 0.0580456i | ||||
\(787\) | 26.1222 | − | 8.48763i | 0.931157 | − | 0.302551i | 0.196121 | − | 0.980580i | \(-0.437165\pi\) |
0.735036 | + | 0.678028i | \(0.237165\pi\) | |||||||
\(788\) | 9.26521 | − | 1.36889i | 0.330059 | − | 0.0487646i | ||||
\(789\) | 42.8276 | − | 12.7298i | 1.52470 | − | 0.453193i | ||||
\(790\) | −4.16288 | + | 43.6187i | −0.148109 | + | 1.55188i | ||||
\(791\) | −14.1507 | − | 43.5515i | −0.503142 | − | 1.54851i | ||||
\(792\) | −0.177868 | − | 14.2734i | −0.00632026 | − | 0.507185i | ||||
\(793\) | −3.77148 | −0.133929 | ||||||||
\(794\) | 35.2472 | − | 21.3483i | 1.25088 | − | 0.757622i | ||||
\(795\) | −10.2826 | − | 36.0977i | −0.364686 | − | 1.28025i | ||||
\(796\) | −25.9288 | + | 25.3953i | −0.919023 | + | 0.900111i | ||||
\(797\) | −9.47591 | + | 13.0425i | −0.335654 | + | 0.461988i | −0.943166 | − | 0.332323i | \(-0.892168\pi\) |
0.607512 | + | 0.794311i | \(0.292168\pi\) | |||||||
\(798\) | 26.6303 | − | 5.54196i | 0.942701 | − | 0.196183i | ||||
\(799\) | 8.96368i | 0.317112i | ||||||||
\(800\) | 3.59238 | − | 28.0552i | 0.127010 | − | 0.991901i | ||||
\(801\) | 0.981755 | + | 0.374750i | 0.0346886 | + | 0.0132412i | ||||
\(802\) | −16.4294 | − | 6.90555i | −0.580143 | − | 0.243844i | ||||
\(803\) | 2.89695 | + | 2.10476i | 0.102231 | + | 0.0742752i | ||||
\(804\) | 7.09654 | + | 1.38482i | 0.250276 | + | 0.0488388i | ||||
\(805\) | −16.9599 | − | 23.9124i | −0.597757 | − | 0.842802i | ||||
\(806\) | 28.9493 | + | 47.7968i | 1.01969 | + | 1.68357i | ||||
\(807\) | −14.3393 | + | 9.87493i | −0.504767 | + | 0.347614i | ||||
\(808\) | 10.2972 | + | 25.9991i | 0.362255 | + | 0.914646i | ||||
\(809\) | 18.7367 | − | 6.08793i | 0.658748 | − | 0.214040i | 0.0394807 | − | 0.999220i | \(-0.487430\pi\) |
0.619267 | + | 0.785180i | \(0.287430\pi\) | |||||||
\(810\) | 25.8435 | − | 11.9212i | 0.908047 | − | 0.418868i | ||||
\(811\) | −19.0612 | − | 6.19337i | −0.669331 | − | 0.217479i | −0.0454124 | − | 0.998968i | \(-0.514460\pi\) |
−0.623918 | + | 0.781490i | \(0.714460\pi\) | |||||||
\(812\) | 2.00291 | + | 13.5566i | 0.0702885 | + | 0.475742i | ||||
\(813\) | 11.4357 | + | 8.75791i | 0.401068 | + | 0.307153i | ||||
\(814\) | −9.70867 | + | 23.0985i | −0.340289 | + | 0.809601i | ||||
\(815\) | 9.99263 | + | 3.37335i | 0.350026 | + | 0.118163i | ||||
\(816\) | 5.45468 | + | 8.28427i | 0.190952 | + | 0.290007i | ||||
\(817\) | 8.39359 | − | 6.09830i | 0.293655 | − | 0.213353i | ||||
\(818\) | 12.3663 | + | 1.03796i | 0.432379 | + | 0.0362913i | ||||
\(819\) | 53.7918 | − | 14.5216i | 1.87964 | − | 0.507426i | ||||
\(820\) | −17.1761 | − | 35.6089i | −0.599814 | − | 1.24352i | ||||
\(821\) | −1.96028 | + | 2.69810i | −0.0684144 | + | 0.0941643i | −0.841853 | − | 0.539707i | \(-0.818535\pi\) |
0.773439 | + | 0.633871i | \(0.218535\pi\) | |||||||
\(822\) | −3.67874 | − | 0.402505i | −0.128311 | − | 0.0140390i | ||||
\(823\) | −25.0546 | − | 8.14074i | −0.873350 | − | 0.283768i | −0.162156 | − | 0.986765i | \(-0.551845\pi\) |
−0.711193 | + | 0.702997i | \(0.751845\pi\) | |||||||
\(824\) | 5.25765 | − | 20.4869i | 0.183159 | − | 0.713695i | ||||
\(825\) | 0.700009 | − | 14.5521i | 0.0243712 | − | 0.506638i | ||||
\(826\) | 4.24808 | − | 50.6121i | 0.147809 | − | 1.76102i | ||||
\(827\) | 1.72813 | − | 5.31864i | 0.0600931 | − | 0.184947i | −0.916504 | − | 0.400026i | \(-0.869001\pi\) |
0.976597 | + | 0.215079i | \(0.0690009\pi\) | |||||||
\(828\) | −23.7155 | + | 10.3176i | −0.824172 | + | 0.358561i | ||||
\(829\) | −14.8427 | − | 10.7838i | −0.515508 | − | 0.374538i | 0.299401 | − | 0.954127i | \(-0.403213\pi\) |
−0.814909 | + | 0.579589i | \(0.803213\pi\) | |||||||
\(830\) | −9.01683 | + | 20.7852i | −0.312979 | + | 0.721465i | ||||
\(831\) | −10.4493 | − | 3.68928i | −0.362483 | − | 0.127980i | ||||
\(832\) | −42.8125 | − | 23.5236i | −1.48426 | − | 0.815535i | ||||
\(833\) | 1.89445 | + | 2.60749i | 0.0656388 | + | 0.0903441i | ||||
\(834\) | −15.8125 | − | 14.3601i | −0.547544 | − | 0.497251i | ||||
\(835\) | 30.8567 | + | 0.352153i | 1.06784 | + | 0.0121868i | ||||
\(836\) | −10.8864 | − | 5.69020i | −0.376513 | − | 0.196800i | ||||
\(837\) | 28.6200 | − | 17.6493i | 0.989253 | − | 0.610048i | ||||
\(838\) | 3.33130 | + | 14.2006i | 0.115078 | + | 0.490553i | ||||
\(839\) | 4.63186 | − | 14.2554i | 0.159910 | − | 0.492151i | −0.838716 | − | 0.544570i | \(-0.816693\pi\) |
0.998625 | + | 0.0524184i | \(0.0166929\pi\) | |||||||
\(840\) | −31.9479 | − | 9.45953i | −1.10231 | − | 0.326385i | ||||
\(841\) | 7.39330 | + | 22.7542i | 0.254941 | + | 0.784629i | ||||
\(842\) | 33.6775 | − | 20.3976i | 1.16060 | − | 0.702948i | ||||
\(843\) | 33.9879 | − | 23.4062i | 1.17061 | − | 0.806152i | ||||
\(844\) | 0.443439 | + | 0.893132i | 0.0152638 | + | 0.0307429i | ||||
\(845\) | 54.3004 | + | 0.619706i | 1.86799 | + | 0.0213185i | ||||
\(846\) | −23.3864 | + | 12.5973i | −0.804040 | + | 0.433105i | ||||
\(847\) | 14.6063 | − | 20.1038i | 0.501877 | − | 0.690775i | ||||
\(848\) | 30.8807 | + | 23.4323i | 1.06045 | + | 0.804669i | ||||
\(849\) | 35.0046 | − | 24.1063i | 1.20135 | − | 0.827326i | ||||
\(850\) | 5.04551 | + | 8.77637i | 0.173060 | + | 0.301027i | ||||
\(851\) | 45.3964 | 1.55617 | ||||||||
\(852\) | −1.40815 | + | 0.171853i | −0.0482425 | + | 0.00588760i | ||||
\(853\) | 37.3744 | + | 27.1541i | 1.27968 | + | 0.929740i | 0.999543 | − | 0.0302214i | \(-0.00962125\pi\) |
0.280134 | + | 0.959961i | \(0.409621\pi\) | |||||||
\(854\) | 1.73593 | − | 2.01125i | 0.0594022 | − | 0.0688234i | ||||
\(855\) | 1.51498 | − | 24.4444i | 0.0518111 | − | 0.835981i | ||||
\(856\) | 3.32568 | − | 1.31717i | 0.113670 | − | 0.0450200i | ||||
\(857\) | − | 3.67387i | − | 0.125497i | −0.998029 | − | 0.0627485i | \(-0.980013\pi\) | ||
0.998029 | − | 0.0627485i | \(-0.0199866\pi\) | |||||||
\(858\) | −22.9426 | − | 10.3321i | −0.783248 | − | 0.352731i | ||||
\(859\) | −11.5076 | + | 3.73905i | −0.392635 | + | 0.127575i | −0.498679 | − | 0.866787i | \(-0.666181\pi\) |
0.106045 | + | 0.994361i | \(0.466181\pi\) | |||||||
\(860\) | −12.5925 | + | 1.71388i | −0.429402 | + | 0.0584429i | ||||
\(861\) | −44.6419 | + | 13.2691i | −1.52139 | + | 0.452209i | ||||
\(862\) | 6.42651 | + | 27.3949i | 0.218888 | + | 0.933074i | ||||
\(863\) | 1.67985 | + | 5.17004i | 0.0571827 | + | 0.175990i | 0.975568 | − | 0.219696i | \(-0.0705066\pi\) |
−0.918386 | + | 0.395687i | \(0.870507\pi\) | |||||||
\(864\) | −13.9479 | + | 25.8738i | −0.474518 | + | 0.880246i | ||||
\(865\) | 17.8269 | + | 25.1348i | 0.606131 | + | 0.854610i | ||||
\(866\) | −2.23833 | − | 9.54152i | −0.0760614 | − | 0.324234i | ||||
\(867\) | 24.4176 | + | 8.62097i | 0.829265 | + | 0.292784i | ||||
\(868\) | −38.8136 | − | 6.56180i | −1.31742 | − | 0.222722i | ||||
\(869\) | −13.7011 | − | 18.8580i | −0.464779 | − | 0.639713i | ||||
\(870\) | 12.2494 | + | 1.48190i | 0.415292 | + | 0.0502410i | ||||
\(871\) | 7.49134 | − | 10.3109i | 0.253834 | − | 0.349373i | ||||
\(872\) | 22.3107 | + | 26.9628i | 0.755537 | + | 0.913075i | ||||
\(873\) | 1.87415 | + | 1.51185i | 0.0634305 | + | 0.0511684i | ||||
\(874\) | −1.86147 | + | 22.1778i | −0.0629653 | + | 0.750176i | ||||
\(875\) | −31.9630 | − | 11.6093i | −1.08055 | − | 0.392466i | ||||
\(876\) | −3.11131 | − | 6.68500i | −0.105122 | − | 0.225865i | ||||
\(877\) | 6.08736 | − | 18.7350i | 0.205555 | − | 0.632635i | −0.794135 | − | 0.607742i | \(-0.792076\pi\) |
0.999690 | − | 0.0248928i | \(-0.00792443\pi\) | |||||||
\(878\) | 16.5295 | − | 19.1510i | 0.557842 | − | 0.646316i | ||||
\(879\) | 7.99584 | + | 0.201879i | 0.269693 | + | 0.00680920i | ||||
\(880\) | 8.44769 | + | 12.4515i | 0.284772 | + | 0.419740i | ||||
\(881\) | −5.98841 | − | 8.24234i | −0.201755 | − | 0.277692i | 0.696136 | − | 0.717910i | \(-0.254901\pi\) |
−0.897891 | + | 0.440218i | \(0.854901\pi\) | |||||||
\(882\) | −4.14057 | + | 8.60715i | −0.139420 | + | 0.289818i | ||||
\(883\) | −0.272434 | − | 0.374974i | −0.00916814 | − | 0.0126189i | 0.804408 | − | 0.594077i | \(-0.202482\pi\) |
−0.813576 | + | 0.581458i | \(0.802482\pi\) | |||||||
\(884\) | 17.2961 | − | 2.55542i | 0.581732 | − | 0.0859480i | ||||
\(885\) | −42.9455 | − | 15.7159i | −1.44360 | − | 0.528286i | ||||
\(886\) | 13.7501 | − | 32.7137i | 0.461944 | − | 1.09904i | ||||
\(887\) | 9.74667 | + | 29.9972i | 0.327261 | + | 1.00721i | 0.970410 | + | 0.241464i | \(0.0776277\pi\) |
−0.643149 | + | 0.765741i | \(0.722372\pi\) | |||||||
\(888\) | 40.5681 | − | 31.8784i | 1.36138 | − | 1.06977i | ||||
\(889\) | −0.0956184 | + | 0.294283i | −0.00320694 | + | 0.00986994i | ||||
\(890\) | −1.08123 | + | 0.240660i | −0.0362430 | + | 0.00806694i | ||||
\(891\) | −6.10627 | + | 13.8545i | −0.204568 | + | 0.464142i | ||||
\(892\) | −23.2230 | − | 46.7735i | −0.777564 | − | 1.56609i | ||||
\(893\) | 22.8588i | 0.764941i | ||||||||
\(894\) | −7.89402 | + | 17.5289i | −0.264015 | + | 0.586253i | ||||
\(895\) | −4.45639 | − | 14.2674i | −0.148961 | − | 0.476905i | ||||
\(896\) | 32.2502 | − | 12.0035i | 1.07740 | − | 0.401010i | ||||
\(897\) | −1.15064 | + | 45.5737i | −0.0384189 | + | 1.52166i | ||||
\(898\) | 25.4935 | + | 10.7153i | 0.850728 | + | 0.357575i | ||||
\(899\) | 14.5774 | 0.486185 | ||||||||
\(900\) | −15.8069 | + | 25.4979i | −0.526896 | + | 0.849930i | ||||
\(901\) | −13.8744 | −0.462223 | ||||||||
\(902\) | 19.3888 | + | 8.14942i | 0.645575 | + | 0.271346i | ||||
\(903\) | −0.377862 | + | 14.9660i | −0.0125745 | + | 0.498039i | ||||
\(904\) | 32.8080 | − | 27.1475i | 1.09118 | − | 0.902912i | ||||
\(905\) | −38.2625 | − | 0.436673i | −1.27189 | − | 0.0145155i | ||||
\(906\) | −22.1609 | + | 49.2089i | −0.736247 | + | 1.63486i | ||||
\(907\) | 18.4041i | 0.611097i | 0.952177 | + | 0.305548i | \(0.0988398\pi\) | ||||
−0.952177 | + | 0.305548i | \(0.901160\pi\) | |||||||
\(908\) | −23.3378 | + | 11.5872i | −0.774491 | + | 0.384534i | ||||
\(909\) | 1.49677 | − | 29.6225i | 0.0496448 | − | 0.982518i | ||||
\(910\) | −38.8795 | + | 44.0200i | −1.28884 | + | 1.45925i | ||||
\(911\) | 7.25851 | − | 22.3394i | 0.240485 | − | 0.740137i | −0.755861 | − | 0.654732i | \(-0.772782\pi\) |
0.996346 | − | 0.0854052i | \(-0.0272185\pi\) | |||||||
\(912\) | 13.9103 | + | 21.1262i | 0.460616 | + | 0.699559i | ||||
\(913\) | −3.72457 | − | 11.4630i | −0.123265 | − | 0.379371i | ||||
\(914\) | 8.46930 | − | 20.1498i | 0.280140 | − | 0.666497i | ||||
\(915\) | −1.33420 | − | 1.98552i | −0.0441074 | − | 0.0656391i | ||||
\(916\) | 3.10941 | + | 21.0458i | 0.102738 | + | 0.695372i | ||||
\(917\) | −5.82965 | − | 8.02383i | −0.192512 | − | 0.264970i | ||||
\(918\) | −1.62097 | − | 10.3948i | −0.0534999 | − | 0.343081i | ||||
\(919\) | −19.5707 | − | 26.9367i | −0.645576 | − | 0.888560i | 0.353321 | − | 0.935502i | \(-0.385052\pi\) |
−0.998898 | + | 0.0469423i | \(0.985052\pi\) | |||||||
\(920\) | 14.8667 | − | 22.8513i | 0.490139 | − | 0.753385i | ||||
\(921\) | −23.9841 | − | 0.605548i | −0.790301 | − | 0.0199535i | ||||
\(922\) | 11.2540 | − | 13.0389i | 0.370632 | − | 0.429415i | ||||
\(923\) | −0.772719 | + | 2.37818i | −0.0254343 | + | 0.0782789i | ||||
\(924\) | 16.0698 | − | 7.47917i | 0.528658 | − | 0.246047i | ||||
\(925\) | 43.2969 | − | 29.9716i | 1.42359 | − | 0.985460i | ||||
\(926\) | −0.684757 | + | 8.15828i | −0.0225025 | + | 0.268098i | ||||
\(927\) | −14.0853 | + | 17.4608i | −0.462623 | + | 0.573487i | ||||
\(928\) | −11.0348 | + | 6.37377i | −0.362236 | + | 0.209229i | ||||
\(929\) | −19.5336 | + | 26.8857i | −0.640876 | + | 0.882090i | −0.998662 | − | 0.0517136i | \(-0.983532\pi\) |
0.357786 | + | 0.933804i | \(0.383532\pi\) | |||||||
\(930\) | −14.9217 | + | 32.1491i | −0.489303 | + | 1.05421i | ||||
\(931\) | 4.83115 | + | 6.64951i | 0.158335 | + | 0.217929i | ||||
\(932\) | −0.144730 | + | 0.856091i | −0.00474078 | + | 0.0280422i | ||||
\(933\) | 1.84392 | + | 0.651021i | 0.0603672 | + | 0.0213135i | ||||
\(934\) | 5.88913 | + | 25.1041i | 0.192698 | + | 0.821433i | ||||
\(935\) | −5.10251 | − | 1.72253i | −0.166870 | − | 0.0563327i | ||||
\(936\) | 30.9747 | + | 41.5346i | 1.01244 | + | 1.35760i | ||||
\(937\) | 7.57287 | + | 23.3069i | 0.247395 | + | 0.761403i | 0.995233 | + | 0.0975225i | \(0.0310918\pi\) |
−0.747838 | + | 0.663881i | \(0.768908\pi\) | |||||||
\(938\) | 2.05050 | + | 8.74086i | 0.0669512 | + | 0.285399i | ||||
\(939\) | 10.5358 | − | 3.13160i | 0.343824 | − | 0.102196i | ||||
\(940\) | 13.2529 | − | 24.6653i | 0.432261 | − | 0.804494i | ||||
\(941\) | 44.9502 | − | 14.6052i | 1.46533 | − | 0.476116i | 0.535640 | − | 0.844447i | \(-0.320070\pi\) |
0.929695 | + | 0.368330i | \(0.120070\pi\) | |||||||
\(942\) | −12.6817 | − | 5.71113i | −0.413193 | − | 0.186079i | ||||
\(943\) | − | 38.1056i | − | 1.24089i | ||||||
\(944\) | 45.2127 | − | 13.6580i | 1.47155 | − | 0.444531i | ||||
\(945\) | 26.6744 | + | 23.1818i | 0.867719 | + | 0.754104i | ||||
\(946\) | 4.41742 | − | 5.11803i | 0.143623 | − | 0.166401i | ||||
\(947\) | −33.1454 | − | 24.0815i | −1.07708 | − | 0.782545i | −0.0999094 | − | 0.994997i | \(-0.531855\pi\) |
−0.977172 | + | 0.212451i | \(0.931855\pi\) | |||||||
\(948\) | 5.81473 | + | 47.6455i | 0.188854 | + | 1.54745i | ||||
\(949\) | −12.9974 | −0.421914 | ||||||||
\(950\) | 12.8668 | + | 22.3811i | 0.417456 | + | 0.726140i | ||||
\(951\) | 23.4341 | − | 16.1382i | 0.759903 | − | 0.523316i | ||||
\(952\) | −6.59827 | + | 10.3998i | −0.213851 | + | 0.337061i | ||||
\(953\) | −22.3922 | + | 30.8203i | −0.725356 | + | 0.998367i | 0.273973 | + | 0.961737i | \(0.411662\pi\) |
−0.999329 | + | 0.0366292i | \(0.988338\pi\) | |||||||
\(954\) | −19.4987 | − | 36.1985i | −0.631293 | − | 1.17197i | ||||
\(955\) | 6.25010 | − | 18.5142i | 0.202248 | − | 0.599105i | ||||
\(956\) | 49.1614 | − | 24.4086i | 1.58999 | − | 0.789430i | ||||
\(957\) | −5.40603 | + | 3.72293i | −0.174752 | + | 0.120345i | ||||
\(958\) | 39.9787 | − | 24.2140i | 1.29165 | − | 0.782320i | ||||
\(959\) | −1.42001 | − | 4.37033i | −0.0458544 | − | 0.141125i | ||||
\(960\) | −2.76125 | − | 30.8606i | −0.0891190 | − | 0.996021i | ||||
\(961\) | −3.36031 | + | 10.3420i | −0.108397 | + | 0.333611i | ||||
\(962\) | −20.7710 | − | 88.5423i | −0.669682 | − | 2.85472i | ||||
\(963\) | −3.78917 | − | 0.191460i | −0.122104 | − | 0.00616971i | ||||
\(964\) | 9.16888 | − | 17.5417i | 0.295310 | − | 0.564980i | ||||
\(965\) | 2.54242 | + | 1.89188i | 0.0818433 | + | 0.0609016i | ||||
\(966\) | −23.7738 | − | 21.5902i | −0.764910 | − | 0.694652i | ||||
\(967\) | −22.5729 | − | 31.0689i | −0.725896 | − | 0.999110i | −0.999307 | − | 0.0372128i | \(-0.988152\pi\) |
0.273412 | − | 0.961897i | \(-0.411848\pi\) | |||||||
\(968\) | 22.3828 | + | 5.74421i | 0.719411 | + | 0.184626i | ||||
\(969\) | −8.53681 | − | 3.01404i | −0.274242 | − | 0.0968249i | ||||
\(970\) | −2.52670 | − | 0.241144i | −0.0811276 | − | 0.00774265i | ||||
\(971\) | 24.0897 | + | 17.5022i | 0.773076 | + | 0.561672i | 0.902893 | − | 0.429865i | \(-0.141439\pi\) |
−0.129817 | + | 0.991538i | \(0.541439\pi\) | |||||||
\(972\) | 24.8423 | − | 18.8378i | 0.796816 | − | 0.604222i | ||||
\(973\) | 8.19613 | − | 25.2251i | 0.262756 | − | 0.808679i | ||||
\(974\) | −1.31015 | + | 15.6093i | −0.0419799 | + | 0.500154i | ||||
\(975\) | 28.9912 | + | 44.2257i | 0.928462 | + | 1.41636i | ||||
\(976\) | 2.33330 | + | 0.812143i | 0.0746871 | + | 0.0259960i | ||||
\(977\) | 39.3183 | + | 12.7753i | 1.25790 | + | 0.408718i | 0.860747 | − | 0.509033i | \(-0.169997\pi\) |
0.397157 | + | 0.917751i | \(0.369997\pi\) | |||||||
\(978\) | 11.4847 | + | 1.25659i | 0.367242 | + | 0.0401813i | ||||
\(979\) | 0.346364 | − | 0.476730i | 0.0110699 | − | 0.0152364i | ||||
\(980\) | −1.35776 | − | 9.97598i | −0.0433720 | − | 0.318671i | ||||
\(981\) | −9.67443 | − | 35.8366i | −0.308881 | − | 1.14417i | ||||
\(982\) | −24.4565 | − | 2.05273i | −0.780438 | − | 0.0655053i | ||||
\(983\) | 35.5905 | − | 25.8580i | 1.13516 | − | 0.824743i | 0.148724 | − | 0.988879i | \(-0.452483\pi\) |
0.986438 | + | 0.164135i | \(0.0524834\pi\) | |||||||
\(984\) | −26.7586 | − | 34.0527i | −0.853033 | − | 1.08556i | ||||
\(985\) | 9.99504 | − | 3.12194i | 0.318468 | − | 0.0994733i | ||||
\(986\) | 1.76731 | − | 4.20470i | 0.0562825 | − | 0.133905i | ||||
\(987\) | −26.1871 | − | 20.0551i | −0.833545 | − | 0.638361i | ||||
\(988\) | 44.1079 | − | 6.51672i | 1.40326 | − | 0.207324i | ||||
\(989\) | −11.6497 | − | 3.78520i | −0.370438 | − | 0.120362i | ||||
\(990\) | −2.67684 | − | 15.7333i | −0.0850755 | − | 0.500038i | ||||
\(991\) | 10.8514 | − | 3.52582i | 0.344705 | − | 0.112001i | −0.131548 | − | 0.991310i | \(-0.541995\pi\) |
0.476253 | + | 0.879308i | \(0.341995\pi\) | |||||||
\(992\) | −7.61755 | − | 35.8043i | −0.241858 | − | 1.13679i | ||||
\(993\) | 30.6704 | − | 21.1215i | 0.973296 | − | 0.670272i | ||||
\(994\) | −0.912567 | − | 1.50670i | −0.0289449 | − | 0.0477895i | ||||
\(995\) | −24.2239 | + | 32.5535i | −0.767949 | + | 1.03202i | ||||
\(996\) | −4.75356 | + | 24.3598i | −0.150622 | + | 0.771868i | ||||
\(997\) | −2.50672 | − | 1.82124i | −0.0793886 | − | 0.0576792i | 0.547383 | − | 0.836882i | \(-0.315624\pi\) |
−0.626772 | + | 0.779203i | \(0.715624\pi\) | |||||||
\(998\) | −6.71408 | − | 2.82204i | −0.212530 | − | 0.0893300i | ||||
\(999\) | −53.1762 | + | 12.9247i | −1.68242 | + | 0.408920i |
(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 | 300.2.n.a.71.20 | ✓ | 224 | |
3.2 | odd | 2 | inner | 300.2.n.a.71.37 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.n.a.71.31 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.n.a.71.26 | yes | 224 | |
25.6 | even | 5 | inner | 300.2.n.a.131.26 | yes | 224 | |
75.56 | odd | 10 | inner | 300.2.n.a.131.31 | yes | 224 | |
100.31 | odd | 10 | inner | 300.2.n.a.131.37 | yes | 224 | |
300.131 | even | 10 | inner | 300.2.n.a.131.20 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.n.a.71.20 | ✓ | 224 | 1.1 | even | 1 | trivial | |
300.2.n.a.71.26 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.n.a.71.31 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.n.a.71.37 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.n.a.131.20 | yes | 224 | 300.131 | even | 10 | inner | |
300.2.n.a.131.26 | yes | 224 | 25.6 | even | 5 | inner | |
300.2.n.a.131.31 | yes | 224 | 75.56 | odd | 10 | inner | |
300.2.n.a.131.37 | yes | 224 | 100.31 | odd | 10 | inner |