Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [693,2,Mod(64,693)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(693, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("693.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 693 = 3^{2} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 693.m (of order \(5\), 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: | \(5.53363286007\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 12 x^{18} - 3 x^{17} + 94 x^{16} - 10 x^{15} + 662 x^{14} - 153 x^{13} + 4638 x^{12} + \cdots + 121 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | no (minimal twist has level 231) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 631.2 | ||
Root | \(-1.07866 + 0.783695i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 693.631 |
Dual form | 693.2.m.j.190.2 |
$q$-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 \(\left(\mathbb{Z}/693\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(442\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.07866 | − | 0.783695i | −0.762731 | − | 0.554156i | 0.137016 | − | 0.990569i | \(-0.456249\pi\) |
−0.899747 | + | 0.436412i | \(0.856249\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.0686960 | − | 0.211425i | −0.0343480 | − | 0.105712i | ||||
\(5\) | −0.706442 | + | 0.513260i | −0.315931 | + | 0.229537i | −0.734437 | − | 0.678677i | \(-0.762554\pi\) |
0.418507 | + | 0.908214i | \(0.362554\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.309017 | − | 0.951057i | −0.116797 | − | 0.359466i | ||||
\(8\) | −0.915619 | + | 2.81798i | −0.323720 | + | 0.996308i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.16425 | 0.368169 | ||||||||
\(11\) | −1.79514 | − | 2.78881i | −0.541256 | − | 0.840858i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.0319918 | − | 0.0232434i | −0.00887292 | − | 0.00644656i | 0.583340 | − | 0.812228i | \(-0.301746\pi\) |
−0.592213 | + | 0.805782i | \(0.701746\pi\) | |||||||
\(14\) | −0.412013 | + | 1.26805i | −0.110115 | + | 0.338900i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.83639 | − | 2.06076i | 0.709097 | − | 0.515189i | ||||
\(17\) | 1.65552 | − | 1.20280i | 0.401522 | − | 0.291723i | −0.368639 | − | 0.929573i | \(-0.620176\pi\) |
0.770161 | + | 0.637850i | \(0.220176\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.75961 | + | 5.41551i | −0.403681 | + | 1.24240i | 0.518310 | + | 0.855193i | \(0.326561\pi\) |
−0.921991 | + | 0.387211i | \(0.873439\pi\) | |||||||
\(20\) | 0.157046 | + | 0.114100i | 0.0351165 | + | 0.0255136i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.249220 | + | 4.41504i | −0.0531340 | + | 0.941289i | ||||
\(23\) | −5.97870 | −1.24665 | −0.623323 | − | 0.781965i | \(-0.714218\pi\) | ||||
−0.623323 | + | 0.781965i | \(0.714218\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.30946 | + | 4.03011i | −0.261892 | + | 0.806021i | ||||
\(26\) | 0.0162926 | + | 0.0501436i | 0.00319525 | + | 0.00983397i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.179849 | + | 0.130668i | −0.0339882 | + | 0.0246939i | ||||
\(29\) | 1.44389 | + | 4.44385i | 0.268124 | + | 0.825202i | 0.990957 | + | 0.134179i | \(0.0428397\pi\) |
−0.722833 | + | 0.691023i | \(0.757160\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.05057 | − | 4.39599i | −1.08671 | − | 0.789544i | −0.107872 | − | 0.994165i | \(-0.534404\pi\) |
−0.978841 | + | 0.204621i | \(0.934404\pi\) | |||||||
\(32\) | 1.25149 | 0.221234 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.72838 | −0.467913 | ||||||||
\(35\) | 0.706442 | + | 0.513260i | 0.119411 | + | 0.0867568i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.57546 | + | 11.0041i | 0.587803 | + | 1.80907i | 0.587711 | + | 0.809071i | \(0.300029\pi\) |
9.16819e−5 | 1.00000i | \(0.499971\pi\) | ||||||||
\(38\) | 6.14214 | − | 4.46252i | 0.996386 | − | 0.723917i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.799528 | − | 2.46069i | −0.126416 | − | 0.389070i | ||||
\(41\) | 1.90009 | − | 5.84788i | 0.296744 | − | 0.913285i | −0.685886 | − | 0.727709i | \(-0.740585\pi\) |
0.982630 | − | 0.185576i | \(-0.0594150\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.79689 | −0.274024 | −0.137012 | − | 0.990569i | \(-0.543750\pi\) | ||||
−0.137012 | + | 0.990569i | \(0.543750\pi\) | |||||||
\(44\) | −0.466304 | + | 0.571118i | −0.0702979 | + | 0.0860992i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.44901 | + | 4.68548i | 0.950855 | + | 0.690837i | ||||
\(47\) | −1.86885 | + | 5.75173i | −0.272600 | + | 0.838977i | 0.717244 | + | 0.696822i | \(0.245403\pi\) |
−0.989844 | + | 0.142155i | \(0.954597\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.809017 | + | 0.587785i | −0.115574 | + | 0.0839693i | ||||
\(50\) | 4.57084 | − | 3.32091i | 0.646415 | − | 0.469648i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.00271652 | + | 0.00836058i | −0.000376713 | + | 0.00115940i | ||||
\(53\) | −0.100643 | − | 0.0731211i | −0.0138243 | − | 0.0100440i | 0.580852 | − | 0.814009i | \(-0.302720\pi\) |
−0.594676 | + | 0.803965i | \(0.702720\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.69955 | + | 1.04876i | 0.364007 | + | 0.141414i | ||||
\(56\) | 2.96300 | 0.395948 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.92515 | − | 5.92499i | 0.252784 | − | 0.777990i | ||||
\(59\) | 4.43316 | + | 13.6439i | 0.577148 | + | 1.77628i | 0.628747 | + | 0.777610i | \(0.283568\pi\) |
−0.0515991 | + | 0.998668i | \(0.516432\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.11572 | + | 4.44333i | −0.783037 | + | 0.568910i | −0.905889 | − | 0.423515i | \(-0.860796\pi\) |
0.122852 | + | 0.992425i | \(0.460796\pi\) | |||||||
\(62\) | 3.08141 | + | 9.48360i | 0.391339 | + | 1.20442i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.02272 | − | 5.10230i | −0.877840 | − | 0.637788i | ||||
\(65\) | 0.0345302 | 0.00428295 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.85938 | 0.593668 | 0.296834 | − | 0.954929i | \(-0.404069\pi\) | ||||
0.296834 | + | 0.954929i | \(0.404069\pi\) | |||||||
\(68\) | −0.368030 | − | 0.267389i | −0.0446301 | − | 0.0324257i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.359774 | − | 1.10727i | −0.0430012 | − | 0.132344i | ||||
\(71\) | −9.10168 | + | 6.61275i | −1.08017 | + | 0.784790i | −0.977713 | − | 0.209948i | \(-0.932671\pi\) |
−0.102458 | + | 0.994737i | \(0.532671\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.189413 | + | 0.582954i | 0.0221692 | + | 0.0682296i | 0.961529 | − | 0.274703i | \(-0.0885796\pi\) |
−0.939360 | + | 0.342933i | \(0.888580\pi\) | |||||||
\(74\) | 4.76718 | − | 14.6719i | 0.554173 | − | 1.70557i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.26585 | 0.145203 | ||||||||
\(77\) | −2.09759 | + | 2.56907i | −0.239042 | + | 0.292773i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.125581 | + | 0.0912401i | 0.0141290 | + | 0.0102653i | 0.594827 | − | 0.803853i | \(-0.297220\pi\) |
−0.580698 | + | 0.814119i | \(0.697220\pi\) | |||||||
\(80\) | −0.946040 | + | 2.91161i | −0.105771 | + | 0.325528i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −6.63251 | + | 4.81880i | −0.732439 | + | 0.532148i | ||||
\(83\) | 7.21319 | − | 5.24069i | 0.791750 | − | 0.575240i | −0.116732 | − | 0.993163i | \(-0.537242\pi\) |
0.908482 | + | 0.417923i | \(0.137242\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.552176 | + | 1.69942i | −0.0598919 | + | 0.184328i | ||||
\(86\) | 1.93824 | + | 1.40822i | 0.209006 | + | 0.151852i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 9.50249 | − | 2.50520i | 1.01297 | − | 0.267055i | ||||
\(89\) | −5.17689 | −0.548749 | −0.274374 | − | 0.961623i | \(-0.588471\pi\) | ||||
−0.274374 | + | 0.961623i | \(0.588471\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.0122198 | + | 0.0376086i | −0.00128098 | + | 0.00394245i | ||||
\(92\) | 0.410713 | + | 1.26404i | 0.0428198 | + | 0.131786i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 6.52347 | − | 4.73958i | 0.672845 | − | 0.488850i | ||||
\(95\) | −1.53651 | − | 4.72888i | −0.157642 | − | 0.485173i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −6.42539 | − | 4.66832i | −0.652399 | − | 0.473996i | 0.211688 | − | 0.977337i | \(-0.432104\pi\) |
−0.864088 | + | 0.503341i | \(0.832104\pi\) | |||||||
\(98\) | 1.33330 | 0.134684 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.942018 | 0.0942018 | ||||||||
\(101\) | −7.35849 | − | 5.34626i | −0.732198 | − | 0.531973i | 0.158060 | − | 0.987429i | \(-0.449476\pi\) |
−0.890258 | + | 0.455457i | \(0.849476\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.06225 | + | 3.26926i | 0.104666 | + | 0.322130i | 0.989652 | − | 0.143489i | \(-0.0458320\pi\) |
−0.884986 | + | 0.465618i | \(0.845832\pi\) | |||||||
\(104\) | 0.0947918 | − | 0.0688703i | 0.00929510 | − | 0.00675328i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.0512548 | + | 0.157746i | 0.00497831 | + | 0.0153217i | ||||
\(107\) | −1.01716 | + | 3.13050i | −0.0983328 | + | 0.302637i | −0.988108 | − | 0.153762i | \(-0.950861\pi\) |
0.889775 | + | 0.456399i | \(0.150861\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 9.99510 | 0.957357 | 0.478678 | − | 0.877990i | \(-0.341116\pi\) | ||||
0.478678 | + | 0.877990i | \(0.341116\pi\) | |||||||
\(110\) | −2.09000 | − | 3.24688i | −0.199274 | − | 0.309578i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.83639 | − | 2.06076i | −0.268014 | − | 0.194723i | ||||
\(113\) | −1.36048 | + | 4.18713i | −0.127983 | + | 0.393892i | −0.994433 | − | 0.105372i | \(-0.966397\pi\) |
0.866449 | + | 0.499265i | \(0.166397\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.22361 | − | 3.06863i | 0.393853 | − | 0.286151i | ||||
\(116\) | 0.840349 | − | 0.610549i | 0.0780245 | − | 0.0566881i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 5.91074 | − | 18.1914i | 0.544127 | − | 1.67465i | ||||
\(119\) | −1.65552 | − | 1.20280i | −0.151761 | − | 0.110261i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.55492 | + | 10.0126i | −0.414084 | + | 0.910239i | ||||
\(122\) | 10.0790 | 0.912512 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.513771 | + | 1.58123i | −0.0461380 | + | 0.141998i | ||||
\(125\) | −2.49262 | − | 7.67149i | −0.222947 | − | 0.686159i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −10.5029 | + | 7.63082i | −0.931984 | + | 0.677126i | −0.946478 | − | 0.322769i | \(-0.895386\pi\) |
0.0144941 | + | 0.999895i | \(0.495386\pi\) | |||||||
\(128\) | 2.80304 | + | 8.62687i | 0.247756 | + | 0.762515i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.0372465 | − | 0.0270612i | −0.00326674 | − | 0.00237342i | ||||
\(131\) | −18.1255 | −1.58363 | −0.791817 | − | 0.610758i | \(-0.790865\pi\) | ||||
−0.791817 | + | 0.610758i | \(0.790865\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 5.69421 | 0.493750 | ||||||||
\(134\) | −5.24164 | − | 3.80827i | −0.452809 | − | 0.328985i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.87366 | + | 5.76653i | 0.160665 | + | 0.494476i | ||||
\(137\) | 4.21254 | − | 3.06059i | 0.359902 | − | 0.261484i | −0.393109 | − | 0.919492i | \(-0.628601\pi\) |
0.753011 | + | 0.658008i | \(0.228601\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.60812 | − | 17.2600i | −0.475674 | − | 1.46397i | −0.845046 | − | 0.534693i | \(-0.820427\pi\) |
0.369372 | − | 0.929282i | \(-0.379573\pi\) | |||||||
\(140\) | 0.0599861 | − | 0.184618i | 0.00506975 | − | 0.0156031i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 15.0000 | 1.25878 | ||||||||
\(143\) | −0.00739155 | + | 0.130944i | −0.000618113 | + | 0.0109501i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −3.30088 | − | 2.39823i | −0.274123 | − | 0.199162i | ||||
\(146\) | 0.252545 | − | 0.777254i | 0.0209008 | − | 0.0643260i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.08093 | − | 1.51188i | 0.171051 | − | 0.124276i | ||||
\(149\) | 8.93925 | − | 6.49475i | 0.732332 | − | 0.532070i | −0.157968 | − | 0.987444i | \(-0.550494\pi\) |
0.890300 | + | 0.455374i | \(0.150494\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4.92308 | − | 15.1517i | 0.400634 | − | 1.23303i | −0.523852 | − | 0.851810i | \(-0.675505\pi\) |
0.924486 | − | 0.381216i | \(-0.124495\pi\) | |||||||
\(152\) | −13.6497 | − | 9.91709i | −1.10714 | − | 0.804382i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 4.27596 | − | 1.12730i | 0.344567 | − | 0.0908403i | ||||
\(155\) | 6.53066 | 0.524555 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 4.94536 | − | 15.2203i | 0.394683 | − | 1.21471i | −0.534526 | − | 0.845152i | \(-0.679510\pi\) |
0.929208 | − | 0.369556i | \(-0.120490\pi\) | |||||||
\(158\) | −0.0639555 | − | 0.196835i | −0.00508803 | − | 0.0156593i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.884105 | + | 0.642340i | −0.0698947 | + | 0.0507814i | ||||
\(161\) | 1.84752 | + | 5.68608i | 0.145605 | + | 0.448126i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −17.8012 | − | 12.9333i | −1.39429 | − | 1.01301i | −0.995379 | − | 0.0960257i | \(-0.969387\pi\) |
−0.398915 | − | 0.916988i | \(-0.630613\pi\) | |||||||
\(164\) | −1.36691 | −0.106738 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −11.8877 | −0.922665 | ||||||||
\(167\) | −3.81938 | − | 2.77494i | −0.295553 | − | 0.214731i | 0.430120 | − | 0.902772i | \(-0.358471\pi\) |
−0.725673 | + | 0.688040i | \(0.758471\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.01674 | − | 12.3622i | −0.308980 | − | 0.950942i | ||||
\(170\) | 1.92744 | − | 1.40037i | 0.147828 | − | 0.107403i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.123439 | + | 0.379907i | 0.00941216 | + | 0.0289677i | ||||
\(173\) | 2.92816 | − | 9.01194i | 0.222624 | − | 0.685165i | −0.775900 | − | 0.630855i | \(-0.782704\pi\) |
0.998524 | − | 0.0543100i | \(-0.0172959\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.23750 | 0.320325 | ||||||||
\(176\) | −10.8388 | − | 4.21080i | −0.817004 | − | 0.317401i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 5.58412 | + | 4.05710i | 0.418548 | + | 0.304093i | ||||
\(179\) | −5.47531 | + | 16.8513i | −0.409244 | + | 1.25952i | 0.508055 | + | 0.861324i | \(0.330364\pi\) |
−0.917299 | + | 0.398199i | \(0.869636\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −13.1661 | + | 9.56574i | −0.978629 | + | 0.711016i | −0.957402 | − | 0.288759i | \(-0.906757\pi\) |
−0.0212275 | + | 0.999775i | \(0.506757\pi\) | |||||||
\(182\) | 0.0426547 | − | 0.0309905i | 0.00316178 | − | 0.00229717i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 5.47421 | − | 16.8479i | 0.403564 | − | 1.24204i | ||||
\(185\) | −8.17385 | − | 5.93865i | −0.600953 | − | 0.436618i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.32628 | − | 2.45772i | −0.462623 | − | 0.179726i | ||||
\(188\) | 1.34444 | 0.0980534 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.04863 | + | 6.30503i | −0.148623 | + | 0.457415i | ||||
\(191\) | −1.99194 | − | 6.13055i | −0.144131 | − | 0.443591i | 0.852767 | − | 0.522292i | \(-0.174923\pi\) |
−0.996898 | + | 0.0787007i | \(0.974923\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.46492 | − | 1.06433i | 0.105447 | − | 0.0766120i | −0.533812 | − | 0.845603i | \(-0.679241\pi\) |
0.639259 | + | 0.768991i | \(0.279241\pi\) | |||||||
\(194\) | 3.27230 | + | 10.0711i | 0.234937 | + | 0.723062i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.179849 | + | 0.130668i | 0.0128463 | + | 0.00933340i | ||||
\(197\) | 6.85772 | 0.488592 | 0.244296 | − | 0.969701i | \(-0.421443\pi\) | ||||
0.244296 | + | 0.969701i | \(0.421443\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −5.07400 | −0.359687 | −0.179843 | − | 0.983695i | \(-0.557559\pi\) | ||||
−0.179843 | + | 0.983695i | \(0.557559\pi\) | |||||||
\(200\) | −10.1578 | − | 7.38008i | −0.718265 | − | 0.521850i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 3.74751 | + | 11.5336i | 0.263674 | + | 0.811504i | ||||
\(203\) | 3.78016 | − | 2.74645i | 0.265315 | − | 0.192763i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.65918 | + | 5.10643i | 0.115882 | + | 0.356648i | ||||
\(206\) | 1.41630 | − | 4.35891i | 0.0986780 | − | 0.303700i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.138640 | −0.00961296 | ||||||||
\(209\) | 18.2616 | − | 4.81441i | 1.26318 | − | 0.333020i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.55861 | − | 4.76511i | −0.451513 | − | 0.328044i | 0.338680 | − | 0.940902i | \(-0.390020\pi\) |
−0.790193 | + | 0.612858i | \(0.790020\pi\) | |||||||
\(212\) | −0.00854585 | + | 0.0263014i | −0.000586932 | + | 0.00180639i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.55054 | − | 2.57962i | 0.242710 | − | 0.176339i | ||||
\(215\) | 1.26940 | − | 0.922274i | 0.0865724 | − | 0.0628985i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.31111 | + | 7.11287i | −0.156888 | + | 0.482853i | ||||
\(218\) | −10.7814 | − | 7.83311i | −0.730205 | − | 0.530525i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.0362847 | − | 0.642797i | 0.00244631 | − | 0.0433373i | ||||
\(221\) | −0.0809201 | −0.00544328 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −5.00761 | + | 15.4119i | −0.335335 | + | 1.03205i | 0.631222 | + | 0.775602i | \(0.282554\pi\) |
−0.966557 | + | 0.256452i | \(0.917446\pi\) | |||||||
\(224\) | −0.386732 | − | 1.19024i | −0.0258396 | − | 0.0795261i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 4.74894 | − | 3.45031i | 0.315895 | − | 0.229511i | ||||
\(227\) | −7.31572 | − | 22.5155i | −0.485561 | − | 1.49440i | −0.831166 | − | 0.556024i | \(-0.812326\pi\) |
0.345605 | − | 0.938380i | \(-0.387674\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −8.21697 | − | 5.96998i | −0.542993 | − | 0.394507i | 0.282203 | − | 0.959355i | \(-0.408935\pi\) |
−0.825195 | + | 0.564848i | \(0.808935\pi\) | |||||||
\(230\) | −6.96073 | −0.458977 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −13.8448 | −0.908952 | ||||||||
\(233\) | 19.0247 | + | 13.8223i | 1.24635 | + | 0.905527i | 0.998004 | − | 0.0631448i | \(-0.0201130\pi\) |
0.248346 | + | 0.968671i | \(0.420113\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −1.63190 | − | 5.02247i | −0.106453 | − | 0.327630i | ||||
\(236\) | 2.58011 | − | 1.87456i | 0.167951 | − | 0.122023i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.843115 | + | 2.59484i | 0.0546510 | + | 0.168199i | ||||
\(239\) | −2.41823 | + | 7.44253i | −0.156422 | + | 0.481417i | −0.998302 | − | 0.0582470i | \(-0.981449\pi\) |
0.841880 | + | 0.539664i | \(0.181449\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.86139 | −0.441981 | −0.220991 | − | 0.975276i | \(-0.570929\pi\) | ||||
−0.220991 | + | 0.975276i | \(0.570929\pi\) | |||||||
\(242\) | 12.7601 | − | 7.23059i | 0.820249 | − | 0.464800i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 1.35955 | + | 0.987774i | 0.0870366 | + | 0.0632358i | ||||
\(245\) | 0.269837 | − | 0.830472i | 0.0172392 | − | 0.0530569i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.182168 | − | 0.132353i | 0.0115911 | − | 0.00842140i | ||||
\(248\) | 17.9279 | − | 13.0253i | 1.13842 | − | 0.827110i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −3.32341 | + | 10.2284i | −0.210191 | + | 0.646902i | ||||
\(251\) | −2.07682 | − | 1.50890i | −0.131088 | − | 0.0952407i | 0.520309 | − | 0.853978i | \(-0.325817\pi\) |
−0.651397 | + | 0.758737i | \(0.725817\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 10.7326 | + | 16.6735i | 0.674755 | + | 1.04825i | ||||
\(254\) | 17.3094 | 1.08609 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −1.62758 | + | 5.00918i | −0.101724 | + | 0.313074i | ||||
\(257\) | 6.05411 | + | 18.6326i | 0.377645 | + | 1.16227i | 0.941677 | + | 0.336519i | \(0.109250\pi\) |
−0.564032 | + | 0.825753i | \(0.690750\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 9.36069 | − | 6.80094i | 0.581645 | − | 0.422590i | ||||
\(260\) | −0.00237209 | − | 0.00730054i | −0.000147111 | − | 0.000452760i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 19.5514 | + | 14.2049i | 1.20789 | + | 0.877581i | ||||
\(263\) | 26.5306 | 1.63595 | 0.817974 | − | 0.575255i | \(-0.195097\pi\) | ||||
0.817974 | + | 0.575255i | \(0.195097\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.108628 | 0.00667298 | ||||||||
\(266\) | −6.14214 | − | 4.46252i | −0.376599 | − | 0.273615i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.333820 | − | 1.02739i | −0.0203913 | − | 0.0627580i | ||||
\(269\) | −13.8542 | + | 10.0657i | −0.844708 | + | 0.613716i | −0.923682 | − | 0.383160i | \(-0.874836\pi\) |
0.0789736 | + | 0.996877i | \(0.474836\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.63641 | + | 5.03635i | 0.0994049 | + | 0.305937i | 0.988377 | − | 0.152025i | \(-0.0485795\pi\) |
−0.888972 | + | 0.457962i | \(0.848580\pi\) | |||||||
\(272\) | 2.21700 | − | 6.82324i | 0.134426 | − | 0.413720i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −6.94249 | −0.419411 | ||||||||
\(275\) | 13.5899 | − | 3.58278i | 0.819500 | − | 0.216050i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.98213 | − | 1.44010i | −0.119094 | − | 0.0865272i | 0.526644 | − | 0.850086i | \(-0.323450\pi\) |
−0.645738 | + | 0.763559i | \(0.723450\pi\) | |||||||
\(278\) | −7.47731 | + | 23.0128i | −0.448459 | + | 1.38022i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −2.09319 | + | 1.52079i | −0.125092 | + | 0.0908847i | ||||
\(281\) | 0.244117 | − | 0.177362i | 0.0145628 | − | 0.0105805i | −0.580480 | − | 0.814274i | \(-0.697135\pi\) |
0.595043 | + | 0.803694i | \(0.297135\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 7.41931 | − | 22.8343i | 0.441032 | − | 1.35736i | −0.445745 | − | 0.895160i | \(-0.647061\pi\) |
0.886777 | − | 0.462198i | \(-0.152939\pi\) | |||||||
\(284\) | 2.02335 | + | 1.47005i | 0.120064 | + | 0.0872313i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.110593 | − | 0.135452i | 0.00653952 | − | 0.00800945i | ||||
\(287\) | −6.14882 | −0.362954 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3.95929 | + | 12.1854i | −0.232899 | + | 0.716791i | ||||
\(290\) | 1.68106 | + | 5.17377i | 0.0987151 | + | 0.303814i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.110239 | − | 0.0800933i | 0.00645124 | − | 0.00468710i | ||||
\(293\) | 0.606919 | + | 1.86791i | 0.0354566 | + | 0.109124i | 0.967218 | − | 0.253946i | \(-0.0817285\pi\) |
−0.931762 | + | 0.363070i | \(0.881729\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −10.1346 | − | 7.36323i | −0.590060 | − | 0.428704i | ||||
\(296\) | −34.2833 | −1.99268 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −14.7324 | −0.853422 | ||||||||
\(299\) | 0.191269 | + | 0.138965i | 0.0110614 | + | 0.00803657i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.555270 | + | 1.70895i | 0.0320053 | + | 0.0985020i | ||||
\(302\) | −17.1846 | + | 12.4854i | −0.988865 | + | 0.718453i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 6.16913 | + | 18.9866i | 0.353824 | + | 1.08896i | ||||
\(305\) | 2.03982 | − | 6.27791i | 0.116800 | − | 0.359472i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 20.0180 | 1.14249 | 0.571243 | − | 0.820781i | \(-0.306462\pi\) | ||||
0.571243 | + | 0.820781i | \(0.306462\pi\) | |||||||
\(308\) | 0.687261 | + | 0.266996i | 0.0391603 | + | 0.0152135i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −7.04439 | − | 5.11805i | −0.400095 | − | 0.290686i | ||||
\(311\) | −5.47087 | + | 16.8376i | −0.310225 | + | 0.954773i | 0.667451 | + | 0.744654i | \(0.267385\pi\) |
−0.977676 | + | 0.210119i | \(0.932615\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −22.9207 | + | 16.6529i | −1.29555 | + | 0.941276i | −0.999902 | − | 0.0140197i | \(-0.995537\pi\) |
−0.295653 | + | 0.955295i | \(0.595537\pi\) | |||||||
\(314\) | −17.2624 | + | 12.5419i | −0.974175 | + | 0.707780i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.0106635 | − | 0.0328188i | 0.000599867 | − | 0.00184620i | ||||
\(317\) | −17.7623 | − | 12.9051i | −0.997631 | − | 0.724821i | −0.0360518 | − | 0.999350i | \(-0.511478\pi\) |
−0.961579 | + | 0.274529i | \(0.911478\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 9.80105 | − | 12.0041i | 0.548753 | − | 0.672100i | ||||
\(320\) | 7.57995 | 0.423732 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 2.46330 | − | 7.58127i | 0.137275 | − | 0.422488i | ||||
\(323\) | 3.60074 | + | 11.0819i | 0.200350 | + | 0.616615i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.135565 | − | 0.0984939i | 0.00751981 | − | 0.00546346i | ||||
\(326\) | 9.06570 | + | 27.9014i | 0.502103 | + | 1.54531i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 14.7395 | + | 10.7089i | 0.813851 | + | 0.591297i | ||||
\(329\) | 6.04773 | 0.333422 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 23.1465 | 1.27225 | 0.636123 | − | 0.771587i | \(-0.280537\pi\) | ||||
0.636123 | + | 0.771587i | \(0.280537\pi\) | |||||||
\(332\) | −1.60353 | − | 1.16503i | −0.0880050 | − | 0.0639394i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.94512 | + | 5.98646i | 0.106432 | + | 0.327565i | ||||
\(335\) | −3.43287 | + | 2.49413i | −0.187558 | + | 0.136269i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 10.8190 | + | 33.2975i | 0.589349 | + | 1.81383i | 0.581054 | + | 0.813865i | \(0.302640\pi\) |
0.00829520 | + | 0.999966i | \(0.497360\pi\) | |||||||
\(338\) | −5.35553 | + | 16.4826i | −0.291302 | + | 0.896536i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.397232 | 0.0215429 | ||||||||
\(341\) | −1.39796 | + | 24.7653i | −0.0757035 | + | 1.34112i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0.809017 | + | 0.587785i | 0.0436828 | + | 0.0317374i | ||||
\(344\) | 1.64527 | − | 5.06362i | 0.0887069 | − | 0.273012i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −10.2211 | + | 7.42608i | −0.549491 | + | 0.399228i | ||||
\(347\) | −3.04157 | + | 2.20983i | −0.163280 | + | 0.118630i | −0.666425 | − | 0.745572i | \(-0.732176\pi\) |
0.503145 | + | 0.864202i | \(0.332176\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3.76196 | + | 11.5781i | −0.201373 | + | 0.619764i | 0.798469 | + | 0.602035i | \(0.205643\pi\) |
−0.999843 | + | 0.0177282i | \(0.994357\pi\) | |||||||
\(350\) | −4.57084 | − | 3.32091i | −0.244322 | − | 0.177510i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2.24660 | − | 3.49017i | −0.119744 | − | 0.186027i | ||||
\(353\) | 5.79059 | 0.308202 | 0.154101 | − | 0.988055i | \(-0.450752\pi\) | ||||
0.154101 | + | 0.988055i | \(0.450752\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.03574 | − | 9.34306i | 0.161121 | − | 0.495878i | ||||
\(356\) | 0.355631 | + | 1.09452i | 0.0188484 | + | 0.0580095i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 19.1123 | − | 13.8859i | 1.01012 | − | 0.733892i | ||||
\(359\) | −1.78020 | − | 5.47890i | −0.0939555 | − | 0.289165i | 0.893025 | − | 0.450008i | \(-0.148579\pi\) |
−0.986980 | + | 0.160843i | \(0.948579\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −10.8602 | − | 7.89042i | −0.571591 | − | 0.415285i | ||||
\(362\) | 21.6984 | 1.14044 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.00879083 | 0.000460765 | ||||||||
\(365\) | −0.433017 | − | 0.314605i | −0.0226651 | − | 0.0164672i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 4.40597 | + | 13.5602i | 0.229990 | + | 0.707836i | 0.997747 | + | 0.0670949i | \(0.0213730\pi\) |
−0.767757 | + | 0.640742i | \(0.778627\pi\) | |||||||
\(368\) | −16.9579 | + | 12.3207i | −0.883993 | + | 0.642259i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 4.16275 | + | 12.8116i | 0.216411 | + | 0.666044i | ||||
\(371\) | −0.0384420 | + | 0.118312i | −0.00199581 | + | 0.00614247i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 32.2223 | 1.66841 | 0.834203 | − | 0.551458i | \(-0.185928\pi\) | ||||
0.834203 | + | 0.551458i | \(0.185928\pi\) | |||||||
\(374\) | 4.89783 | + | 7.60893i | 0.253261 | + | 0.393448i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −14.4971 | − | 10.5328i | −0.747633 | − | 0.543187i | ||||
\(377\) | 0.0570974 | − | 0.175728i | 0.00294066 | − | 0.00905043i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 23.1196 | − | 16.7973i | 1.18757 | − | 0.862822i | 0.194567 | − | 0.980889i | \(-0.437670\pi\) |
0.993006 | + | 0.118068i | \(0.0376699\pi\) | |||||||
\(380\) | −0.894250 | + | 0.649711i | −0.0458741 | + | 0.0333295i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −2.65585 | + | 8.17388i | −0.135885 | + | 0.418212i | ||||
\(383\) | −16.3108 | − | 11.8505i | −0.833444 | − | 0.605533i | 0.0870873 | − | 0.996201i | \(-0.472244\pi\) |
−0.920532 | + | 0.390668i | \(0.872244\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.163220 | − | 2.89151i | 0.00831847 | − | 0.147365i | ||||
\(386\) | −2.41427 | −0.122883 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.545599 | + | 1.67918i | −0.0276986 | + | 0.0852474i | ||||
\(389\) | 5.11755 | + | 15.7502i | 0.259470 | + | 0.798567i | 0.992916 | + | 0.118819i | \(0.0379109\pi\) |
−0.733446 | + | 0.679748i | \(0.762089\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −9.89784 | + | 7.19120i | −0.500555 | + | 0.363675i | ||||
\(392\) | −0.915619 | − | 2.81798i | −0.0462457 | − | 0.142330i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −7.39718 | − | 5.37436i | −0.372664 | − | 0.270757i | ||||
\(395\) | −0.135546 | −0.00682005 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 30.9920 | 1.55545 | 0.777723 | − | 0.628607i | \(-0.216375\pi\) | ||||
0.777723 | + | 0.628607i | \(0.216375\pi\) | |||||||
\(398\) | 5.47315 | + | 3.97647i | 0.274344 | + | 0.199323i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4.59093 | + | 14.1294i | 0.229547 | + | 0.706472i | ||||
\(401\) | 2.81752 | − | 2.04705i | 0.140700 | − | 0.102225i | −0.515209 | − | 0.857065i | \(-0.672286\pi\) |
0.655909 | + | 0.754840i | \(0.272286\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.0913906 | + | 0.281271i | 0.00455249 | + | 0.0140111i | ||||
\(404\) | −0.624831 | + | 1.92303i | −0.0310865 | + | 0.0956745i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −6.22991 | −0.309185 | ||||||||
\(407\) | 24.2700 | − | 29.7253i | 1.20302 | − | 1.47343i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 21.5104 | + | 15.6282i | 1.06362 | + | 0.772765i | 0.974755 | − | 0.223279i | \(-0.0716760\pi\) |
0.0888652 | + | 0.996044i | \(0.471676\pi\) | |||||||
\(410\) | 2.21219 | − | 6.80841i | 0.109252 | − | 0.336244i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.618229 | − | 0.449170i | 0.0304580 | − | 0.0221290i | ||||
\(413\) | 11.6062 | − | 8.43236i | 0.571101 | − | 0.414929i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.40586 | + | 7.40448i | −0.118099 | + | 0.363472i | ||||
\(416\) | −0.0400374 | − | 0.0290889i | −0.00196299 | − | 0.00142620i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −23.4711 | − | 9.11838i | −1.14801 | − | 0.445995i | ||||
\(419\) | −29.1491 | −1.42402 | −0.712012 | − | 0.702167i | \(-0.752216\pi\) | ||||
−0.712012 | + | 0.702167i | \(0.752216\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.17753 | + | 19.0125i | −0.301074 | + | 0.926611i | 0.680039 | + | 0.733176i | \(0.261963\pi\) |
−0.981113 | + | 0.193435i | \(0.938037\pi\) | |||||||
\(422\) | 3.34014 | + | 10.2799i | 0.162596 | + | 0.500418i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.298204 | − | 0.216658i | 0.0144821 | − | 0.0105218i | ||||
\(425\) | 2.67959 | + | 8.24693i | 0.129979 | + | 0.400035i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.11572 | + | 4.44333i | 0.295960 | + | 0.215028i | ||||
\(428\) | 0.731740 | 0.0353700 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.09204 | −0.100887 | ||||||||
\(431\) | 13.6954 | + | 9.95033i | 0.659687 | + | 0.479290i | 0.866557 | − | 0.499078i | \(-0.166328\pi\) |
−0.206870 | + | 0.978368i | \(0.566328\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.64255 | − | 8.13294i | −0.126993 | − | 0.390844i | 0.867266 | − | 0.497845i | \(-0.165875\pi\) |
−0.994259 | + | 0.107001i | \(0.965875\pi\) | |||||||
\(434\) | 8.06723 | − | 5.86119i | 0.387240 | − | 0.281346i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.686623 | − | 2.11321i | −0.0328833 | − | 0.101204i | ||||
\(437\) | 10.5202 | − | 32.3777i | 0.503248 | − | 1.54884i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −33.9408 | −1.61990 | −0.809952 | − | 0.586496i | \(-0.800507\pi\) | ||||
−0.809952 | + | 0.586496i | \(0.800507\pi\) | |||||||
\(440\) | −5.42714 | + | 6.64703i | −0.258729 | + | 0.316885i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.0872857 | + | 0.0634167i | 0.00415176 | + | 0.00301643i | ||||
\(443\) | 10.8651 | − | 33.4393i | 0.516216 | − | 1.58875i | −0.264844 | − | 0.964291i | \(-0.585320\pi\) |
0.781059 | − | 0.624457i | \(-0.214680\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 3.65717 | − | 2.65709i | 0.173366 | − | 0.125958i | ||||
\(446\) | 17.4797 | − | 12.6998i | 0.827689 | − | 0.601352i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.68244 | + | 8.25570i | −0.126733 | + | 0.390045i | ||||
\(449\) | −1.55978 | − | 1.13325i | −0.0736107 | − | 0.0534813i | 0.550371 | − | 0.834920i | \(-0.314486\pi\) |
−0.623982 | + | 0.781439i | \(0.714486\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −19.7196 | + | 5.19879i | −0.928558 | + | 0.244801i | ||||
\(452\) | 0.978723 | 0.0460352 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −9.75407 | + | 30.0199i | −0.457781 | + | 1.40891i | ||||
\(455\) | −0.0106704 | − | 0.0328402i | −0.000500238 | − | 0.00153957i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 6.19032 | − | 4.49753i | 0.289571 | − | 0.210386i | −0.433510 | − | 0.901149i | \(-0.642725\pi\) |
0.723081 | + | 0.690763i | \(0.242725\pi\) | |||||||
\(458\) | 4.18471 | + | 12.8792i | 0.195539 | + | 0.601806i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.938929 | − | 0.682172i | −0.0437778 | − | 0.0318064i | ||||
\(461\) | −40.7525 | −1.89803 | −0.949017 | − | 0.315224i | \(-0.897920\pi\) | ||||
−0.949017 | + | 0.315224i | \(0.897920\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −8.37407 | −0.389176 | −0.194588 | − | 0.980885i | \(-0.562337\pi\) | ||||
−0.194588 | + | 0.980885i | \(0.562337\pi\) | |||||||
\(464\) | 13.2531 | + | 9.62897i | 0.615262 | + | 0.447014i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −9.68883 | − | 29.8192i | −0.448827 | − | 1.38135i | ||||
\(467\) | 7.68254 | − | 5.58169i | 0.355505 | − | 0.258290i | −0.395670 | − | 0.918393i | \(-0.629487\pi\) |
0.751175 | + | 0.660103i | \(0.229487\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.50163 | − | 4.62154i | −0.0693389 | − | 0.213403i | ||||
\(470\) | −2.17582 | + | 6.69648i | −0.100363 | + | 0.308885i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −42.5072 | −1.95655 | ||||||||
\(473\) | 3.22568 | + | 5.01119i | 0.148317 | + | 0.230415i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −19.5209 | − | 14.1828i | −0.895683 | − | 0.650751i | ||||
\(476\) | −0.140575 | + | 0.432645i | −0.00644323 | + | 0.0198302i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 8.44113 | − | 6.13284i | 0.386088 | − | 0.280510i | ||||
\(479\) | −29.3659 | + | 21.3356i | −1.34176 | + | 0.974849i | −0.342387 | + | 0.939559i | \(0.611235\pi\) |
−0.999377 | + | 0.0352896i | \(0.988765\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.141388 | − | 0.435148i | 0.00644675 | − | 0.0198410i | ||||
\(482\) | 7.40114 | + | 5.37724i | 0.337113 | + | 0.244927i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 2.42982 | + | 0.275194i | 0.110446 | + | 0.0125088i | ||||
\(485\) | 6.93523 | 0.314912 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 1.65861 | − | 5.10466i | 0.0751586 | − | 0.231314i | −0.906419 | − | 0.422381i | \(-0.861195\pi\) |
0.981577 | + | 0.191066i | \(0.0611945\pi\) | |||||||
\(488\) | −6.92157 | − | 21.3024i | −0.313325 | − | 0.964314i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.941901 | + | 0.684331i | −0.0425507 | + | 0.0309149i | ||||
\(491\) | −7.12636 | − | 21.9327i | −0.321608 | − | 0.989808i | −0.972948 | − | 0.231022i | \(-0.925793\pi\) |
0.651340 | − | 0.758786i | \(-0.274207\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 7.73547 | + | 5.62014i | 0.348388 | + | 0.253119i | ||||
\(494\) | −0.300222 | −0.0135076 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −26.2208 | −1.17735 | ||||||||
\(497\) | 9.10168 | + | 6.61275i | 0.408266 | + | 0.296623i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 10.2406 | + | 31.5172i | 0.458431 | + | 1.41090i | 0.867060 | + | 0.498204i | \(0.166007\pi\) |
−0.408629 | + | 0.912700i | \(0.633993\pi\) | |||||||
\(500\) | −1.45071 | + | 1.05400i | −0.0648777 | + | 0.0471364i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 1.05767 | + | 3.25518i | 0.0472063 | + | 0.145286i | ||||
\(503\) | 5.59684 | − | 17.2253i | 0.249551 | − | 0.768038i | −0.745304 | − | 0.666725i | \(-0.767696\pi\) |
0.994855 | − | 0.101313i | \(-0.0323045\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 7.94237 | 0.353431 | ||||||||
\(506\) | 1.49001 | − | 26.3962i | 0.0662392 | − | 1.17345i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 2.33485 | + | 1.69637i | 0.103592 | + | 0.0752642i | ||||
\(509\) | 4.81817 | − | 14.8288i | 0.213562 | − | 0.657275i | −0.785691 | − | 0.618619i | \(-0.787692\pi\) |
0.999253 | − | 0.0386557i | \(-0.0123076\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.495890 | − | 0.360286i | 0.0219369 | − | 0.0159381i | ||||
\(512\) | 20.3582 | − | 14.7911i | 0.899713 | − | 0.653680i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 8.07196 | − | 24.8429i | 0.356039 | − | 1.09577i | ||||
\(515\) | −2.42840 | − | 1.76433i | −0.107008 | − | 0.0777458i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 19.3953 | − | 5.11332i | 0.853006 | − | 0.224883i | ||||
\(518\) | −15.4269 | −0.677819 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.0316165 | + | 0.0973057i | −0.00138648 | + | 0.00426714i | ||||
\(521\) | 4.78023 | + | 14.7120i | 0.209426 | + | 0.644546i | 0.999503 | + | 0.0315383i | \(0.0100406\pi\) |
−0.790077 | + | 0.613008i | \(0.789959\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 14.0335 | − | 10.1959i | 0.613643 | − | 0.445837i | −0.237053 | − | 0.971497i | \(-0.576181\pi\) |
0.850695 | + | 0.525659i | \(0.176181\pi\) | |||||||
\(524\) | 1.24515 | + | 3.83218i | 0.0543947 | + | 0.167410i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −28.6176 | − | 20.7919i | −1.24779 | − | 0.906571i | ||||
\(527\) | −15.3043 | −0.666667 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 12.7449 | 0.554126 | ||||||||
\(530\) | −0.117173 | − | 0.0851315i | −0.00508969 | − | 0.00369788i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.391169 | − | 1.20390i | −0.0169593 | − | 0.0521955i | ||||
\(533\) | −0.196712 | + | 0.142919i | −0.00852053 | + | 0.00619053i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.888197 | − | 2.73359i | −0.0384001 | − | 0.118183i | ||||
\(536\) | −4.44934 | + | 13.6937i | −0.192182 | + | 0.591476i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 22.8325 | 0.984380 | ||||||||
\(539\) | 3.09152 | + | 1.20104i | 0.133161 | + | 0.0517323i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −24.5088 | − | 17.8067i | −1.05372 | − | 0.765569i | −0.0808002 | − | 0.996730i | \(-0.525748\pi\) |
−0.972916 | + | 0.231161i | \(0.925748\pi\) | |||||||
\(542\) | 2.18183 | − | 6.71498i | 0.0937176 | − | 0.288433i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.07186 | − | 1.50530i | 0.0888304 | − | 0.0645390i | ||||
\(545\) | −7.06096 | + | 5.13009i | −0.302458 | + | 0.219749i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −9.40927 | + | 28.9588i | −0.402311 | + | 1.23819i | 0.520808 | + | 0.853674i | \(0.325631\pi\) |
−0.923119 | + | 0.384513i | \(0.874369\pi\) | |||||||
\(548\) | −0.936469 | − | 0.680384i | −0.0400040 | − | 0.0290646i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −17.4667 | − | 6.78570i | −0.744783 | − | 0.289343i | ||||
\(551\) | −26.6064 | −1.13347 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.0479677 | − | 0.147630i | 0.00203980 | − | 0.00627785i | ||||
\(554\) | 1.00945 | + | 3.10677i | 0.0428874 | + | 0.131994i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −3.26393 | + | 2.37139i | −0.138422 | + | 0.100569i | ||||
\(557\) | −2.21706 | − | 6.82341i | −0.0939399 | − | 0.289117i | 0.893036 | − | 0.449985i | \(-0.148571\pi\) |
−0.986976 | + | 0.160868i | \(0.948571\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.0574858 | + | 0.0417659i | 0.00243139 | + | 0.00176651i | ||||
\(560\) | 3.06145 | 0.129370 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −0.402318 | −0.0169708 | ||||||||
\(563\) | 7.29219 | + | 5.29809i | 0.307329 | + | 0.223288i | 0.730750 | − | 0.682646i | \(-0.239171\pi\) |
−0.423421 | + | 0.905933i | \(0.639171\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.18799 | − | 3.65625i | −0.0499790 | − | 0.153820i | ||||
\(566\) | −25.8981 | + | 18.8161i | −1.08858 | + | 0.790898i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −10.3010 | − | 31.7031i | −0.432219 | − | 1.33023i | ||||
\(569\) | −2.30526 | + | 7.09487i | −0.0966417 | + | 0.297433i | −0.987678 | − | 0.156499i | \(-0.949979\pi\) |
0.891036 | + | 0.453932i | \(0.149979\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −37.5921 | −1.57318 | −0.786590 | − | 0.617475i | \(-0.788156\pi\) | ||||
−0.786590 | + | 0.617475i | \(0.788156\pi\) | |||||||
\(572\) | 0.0281926 | − | 0.00743259i | 0.00117879 | − | 0.000310772i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 6.63251 | + | 4.81880i | 0.276836 | + | 0.201133i | ||||
\(575\) | 7.82888 | − | 24.0948i | 0.326487 | − | 1.00482i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 9.80773 | − | 7.12573i | 0.408301 | − | 0.296648i | −0.364613 | − | 0.931159i | \(-0.618799\pi\) |
0.772914 | + | 0.634511i | \(0.218799\pi\) | |||||||
\(578\) | 13.8204 | − | 10.0411i | 0.574854 | − | 0.417656i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.280287 | + | 0.862635i | −0.0116383 | + | 0.0358190i | ||||
\(581\) | −7.21319 | − | 5.24069i | −0.299253 | − | 0.217420i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.0232530 | + | 0.411936i | −0.000963041 | + | 0.0170606i | ||||
\(584\) | −1.81619 | −0.0751543 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.809207 | − | 2.49048i | 0.0334280 | − | 0.102881i | ||||
\(587\) | 0.395768 | + | 1.21805i | 0.0163351 | + | 0.0502743i | 0.958892 | − | 0.283772i | \(-0.0915859\pi\) |
−0.942557 | + | 0.334046i | \(0.891586\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 34.4532 | − | 25.0317i | 1.41962 | − | 1.03141i | ||||
\(590\) | 5.16132 | + | 15.8849i | 0.212488 | + | 0.653971i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 32.8183 | + | 23.8439i | 1.34882 | + | 0.979978i | ||||
\(593\) | 24.7324 | 1.01564 | 0.507819 | − | 0.861464i | \(-0.330452\pi\) | ||||
0.507819 | + | 0.861464i | \(0.330452\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.78688 | 0.0732548 | ||||||||
\(596\) | −1.98724 | − | 1.44381i | −0.0814005 | − | 0.0591409i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.0974089 | − | 0.299794i | −0.00398335 | − | 0.0122595i | ||||
\(599\) | −22.5718 | + | 16.3994i | −0.922260 | + | 0.670061i | −0.944085 | − | 0.329701i | \(-0.893052\pi\) |
0.0218257 | + | 0.999762i | \(0.493052\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −10.6381 | − | 32.7407i | −0.433936 | − | 1.33552i | −0.894173 | − | 0.447722i | \(-0.852235\pi\) |
0.460236 | − | 0.887797i | \(-0.347765\pi\) | |||||||
\(602\) | 0.740343 | − | 2.27854i | 0.0301741 | − | 0.0928665i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −3.54163 | −0.144107 | ||||||||
\(605\) | −1.92130 | − | 9.41120i | −0.0781118 | − | 0.382620i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 21.3777 | + | 15.5318i | 0.867693 | + | 0.630416i | 0.929967 | − | 0.367643i | \(-0.119835\pi\) |
−0.0622737 | + | 0.998059i | \(0.519835\pi\) | |||||||
\(608\) | −2.20213 | + | 6.77746i | −0.0893082 | + | 0.274862i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −7.12025 | + | 5.17316i | −0.288290 | + | 0.209455i | ||||
\(611\) | 0.193478 | − | 0.140570i | 0.00782727 | − | 0.00568684i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −12.2373 | + | 37.6625i | −0.494260 | + | 1.52118i | 0.323847 | + | 0.946109i | \(0.395024\pi\) |
−0.818107 | + | 0.575066i | \(0.804976\pi\) | |||||||
\(614\) | −21.5927 | − | 15.6880i | −0.871409 | − | 0.633115i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −5.31902 | − | 8.26326i | −0.214309 | − | 0.332936i | ||||
\(617\) | −17.0640 | −0.686971 | −0.343486 | − | 0.939158i | \(-0.611608\pi\) | ||||
−0.343486 | + | 0.939158i | \(0.611608\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 9.04822 | − | 27.8476i | 0.363679 | − | 1.11929i | −0.587126 | − | 0.809496i | \(-0.699741\pi\) |
0.950804 | − | 0.309792i | \(-0.100259\pi\) | |||||||
\(620\) | −0.448630 | − | 1.38074i | −0.0180174 | − | 0.0554520i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 19.0968 | − | 13.8746i | 0.765711 | − | 0.556322i | ||||
\(623\) | 1.59975 | + | 4.92351i | 0.0640925 | + | 0.197256i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −11.4427 | − | 8.31361i | −0.457708 | − | 0.332544i | ||||
\(626\) | 37.7745 | 1.50977 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −3.55766 | −0.141966 | ||||||||
\(629\) | 19.1551 | + | 13.9170i | 0.763763 | + | 0.554906i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −12.4517 | − | 38.3223i | −0.495693 | − | 1.52559i | −0.815875 | − | 0.578229i | \(-0.803744\pi\) |
0.320182 | − | 0.947356i | \(-0.396256\pi\) | |||||||
\(632\) | −0.372098 | + | 0.270345i | −0.0148012 | + | 0.0107537i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 9.04592 | + | 27.8405i | 0.359259 | + | 1.10569i | ||||
\(635\) | 3.50311 | − | 10.7815i | 0.139017 | − | 0.427849i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.0395440 | 0.00156679 | ||||||||
\(638\) | −19.9796 | + | 5.26734i | −0.791000 | + | 0.208536i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −6.40801 | − | 4.65569i | −0.253299 | − | 0.184032i | ||||
\(641\) | 3.88039 | − | 11.9426i | 0.153266 | − | 0.471705i | −0.844715 | − | 0.535217i | \(-0.820230\pi\) |
0.997981 | + | 0.0635114i | \(0.0202299\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 3.34694 | − | 2.43170i | 0.131991 | − | 0.0958968i | −0.519831 | − | 0.854269i | \(-0.674005\pi\) |
0.651822 | + | 0.758372i | \(0.274005\pi\) | |||||||
\(644\) | 1.07526 | − | 0.781223i | 0.0423712 | − | 0.0307845i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 4.80087 | − | 14.7756i | 0.188888 | − | 0.581337i | ||||
\(647\) | −30.4262 | − | 22.1059i | −1.19618 | − | 0.869073i | −0.202273 | − | 0.979329i | \(-0.564833\pi\) |
−0.993903 | + | 0.110256i | \(0.964833\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 30.0920 | − | 36.8559i | 1.18121 | − | 1.44672i | ||||
\(650\) | −0.223419 | −0.00876320 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.51155 | + | 4.65207i | −0.0591968 | + | 0.182189i | ||||
\(653\) | −1.86070 | − | 5.72666i | −0.0728150 | − | 0.224102i | 0.908025 | − | 0.418916i | \(-0.137590\pi\) |
−0.980840 | + | 0.194814i | \(0.937590\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 12.8046 | − | 9.30311i | 0.500319 | − | 0.363503i | ||||
\(656\) | −6.66166 | − | 20.5025i | −0.260094 | − | 0.800488i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −6.52347 | − | 4.73958i | −0.254311 | − | 0.184768i | ||||
\(659\) | 38.6192 | 1.50439 | 0.752195 | − | 0.658940i | \(-0.228995\pi\) | ||||
0.752195 | + | 0.658940i | \(0.228995\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 43.0833 | 1.67575 | 0.837874 | − | 0.545864i | \(-0.183798\pi\) | ||||
0.837874 | + | 0.545864i | \(0.183798\pi\) | |||||||
\(662\) | −24.9673 | − | 18.1398i | −0.970382 | − | 0.705024i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 8.16364 | + | 25.1251i | 0.316811 | + | 0.975044i | ||||
\(665\) | −4.02263 | + | 2.92261i | −0.155991 | + | 0.113334i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −8.63261 | − | 26.5685i | −0.334256 | − | 1.02873i | ||||
\(668\) | −0.324315 | + | 0.998138i | −0.0125481 | + | 0.0386191i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 5.65755 | 0.218570 | ||||||||
\(671\) | 23.3702 | + | 9.07916i | 0.902196 | + | 0.350497i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 17.0032 | + | 12.3535i | 0.655425 | + | 0.476194i | 0.865115 | − | 0.501574i | \(-0.167246\pi\) |
−0.209690 | + | 0.977768i | \(0.567246\pi\) | |||||||
\(674\) | 14.4250 | − | 44.3956i | 0.555631 | − | 1.71006i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −2.33775 | + | 1.69847i | −0.0899134 | + | 0.0653259i | ||||
\(677\) | −19.3263 | + | 14.0414i | −0.742770 | + | 0.539654i | −0.893578 | − | 0.448909i | \(-0.851813\pi\) |
0.150807 | + | 0.988563i | \(0.451813\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.45428 | + | 7.55350i | −0.0941866 | + | 0.289877i | ||||
\(680\) | −4.28336 | − | 3.11204i | −0.164259 | − | 0.119341i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 20.9164 | − | 25.6179i | 0.800930 | − | 0.980960i | ||||
\(683\) | 13.5672 | 0.519134 | 0.259567 | − | 0.965725i | \(-0.416420\pi\) | ||||
0.259567 | + | 0.965725i | \(0.416420\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −1.40504 | + | 4.32426i | −0.0536837 | + | 0.165221i | ||||
\(686\) | −0.412013 | − | 1.26805i | −0.0157307 | − | 0.0484142i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −5.09669 | + | 3.70296i | −0.194309 | + | 0.141174i | ||||
\(689\) | 0.00152015 | + | 0.00467855i | 5.79132e−5 | + | 0.000178238i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 3.97366 | + | 2.88703i | 0.151165 | + | 0.109828i | 0.660797 | − | 0.750565i | \(-0.270218\pi\) |
−0.509632 | + | 0.860393i | \(0.670218\pi\) | |||||||
\(692\) | −2.10650 | −0.0800771 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 5.01266 | 0.190278 | ||||||||
\(695\) | 12.8207 | + | 9.31477i | 0.486316 | + | 0.353329i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −3.88821 | − | 11.9667i | −0.147277 | − | 0.453271i | ||||
\(698\) | 13.1316 | − | 9.54069i | 0.497040 | − | 0.361120i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.291100 | − | 0.895912i | −0.0110025 | − | 0.0338623i | ||||
\(701\) | −11.4102 | + | 35.1170i | −0.430958 | + | 1.32635i | 0.466215 | + | 0.884672i | \(0.345617\pi\) |
−0.897173 | + | 0.441680i | \(0.854383\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −65.8845 | −2.48488 | ||||||||
\(704\) | −1.62257 | + | 28.7444i | −0.0611528 | + | 1.08334i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −6.24610 | − | 4.53806i | −0.235075 | − | 0.170792i | ||||
\(707\) | −2.81069 | + | 8.65043i | −0.105707 | + | 0.325333i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −0.395914 | + | 0.287648i | −0.0148688 | + | 0.0108028i | −0.595195 | − | 0.803581i | \(-0.702925\pi\) |
0.580326 | + | 0.814384i | \(0.302925\pi\) | |||||||
\(710\) | −10.5967 | + | 7.69892i | −0.397685 | + | 0.288935i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 4.74005 | − | 14.5884i | 0.177641 | − | 0.546723i | ||||
\(713\) | 36.1745 | + | 26.2823i | 1.35475 | + | 0.984281i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.0619867 | − | 0.0962983i | −0.00231817 | − | 0.00360135i | ||||
\(716\) | 3.93890 | 0.147204 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −2.37355 | + | 7.30503i | −0.0885800 | + | 0.272621i | ||||
\(719\) | −3.13317 | − | 9.64292i | −0.116848 | − | 0.359620i | 0.875480 | − | 0.483254i | \(-0.160545\pi\) |
−0.992328 | + | 0.123634i | \(0.960545\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2.78100 | − | 2.02051i | 0.103570 | − | 0.0752478i | ||||
\(722\) | 5.53086 | + | 17.0222i | 0.205837 | + | 0.633502i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 2.92689 | + | 2.12651i | 0.108777 | + | 0.0790312i | ||||
\(725\) | −19.7999 | −0.735350 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −10.5834 | −0.392516 | −0.196258 | − | 0.980552i | \(-0.562879\pi\) | ||||
−0.196258 | + | 0.980552i | \(0.562879\pi\) | |||||||
\(728\) | −0.0947918 | − | 0.0688703i | −0.00351322 | − | 0.00255250i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.220525 | + | 0.678707i | 0.00816200 | + | 0.0251201i | ||||
\(731\) | −2.97479 | + | 2.16131i | −0.110026 | + | 0.0799389i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 3.88595 | + | 11.9597i | 0.143531 | + | 0.441742i | 0.996819 | − | 0.0796971i | \(-0.0253953\pi\) |
−0.853288 | + | 0.521439i | \(0.825395\pi\) | |||||||
\(734\) | 5.87450 | − | 18.0798i | 0.216832 | − | 0.667339i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −7.48229 | −0.275801 | ||||||||
\(737\) | −8.72328 | − | 13.5519i | −0.321326 | − | 0.499190i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 1.13052 | + | 0.821374i | 0.0415870 | + | 0.0302147i | 0.608385 | − | 0.793642i | \(-0.291818\pi\) |
−0.566798 | + | 0.823857i | \(0.691818\pi\) | |||||||
\(740\) | −0.694066 | + | 2.13611i | −0.0255144 | + | 0.0785251i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.134187 | − | 0.0974925i | 0.00492616 | − | 0.00357906i | ||||
\(743\) | 19.5111 | − | 14.1756i | 0.715791 | − | 0.520053i | −0.169245 | − | 0.985574i | \(-0.554133\pi\) |
0.885037 | + | 0.465521i | \(0.154133\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.98157 | + | 9.17632i | −0.109236 | + | 0.336194i | ||||
\(746\) | −34.7570 | − | 25.2524i | −1.27254 | − | 0.924557i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.0850315 | + | 1.50637i | −0.00310906 | + | 0.0550782i | ||||
\(749\) | 3.29161 | 0.120273 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −5.94079 | + | 18.2839i | −0.216783 | + | 0.667188i | 0.782240 | + | 0.622978i | \(0.214077\pi\) |
−0.999022 | + | 0.0442106i | \(0.985923\pi\) | |||||||
\(752\) | 6.55214 | + | 20.1654i | 0.238932 | + | 0.735357i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.199306 | + | 0.144804i | −0.00725829 | + | 0.00527346i | ||||
\(755\) | 4.29888 | + | 13.2306i | 0.156452 | + | 0.481511i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 34.3682 | + | 24.9699i | 1.24913 | + | 0.907548i | 0.998171 | − | 0.0604493i | \(-0.0192533\pi\) |
0.250961 | + | 0.967997i | \(0.419253\pi\) | |||||||
\(758\) | −38.1023 | −1.38394 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 14.7328 | 0.534414 | ||||||||
\(761\) | 11.8940 | + | 8.64149i | 0.431157 | + | 0.313254i | 0.782111 | − | 0.623139i | \(-0.214143\pi\) |
−0.350954 | + | 0.936393i | \(0.614143\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −3.08865 | − | 9.50590i | −0.111817 | − | 0.344137i | ||||
\(764\) | −1.15931 | + | 0.842289i | −0.0419424 | + | 0.0304729i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 8.30672 | + | 25.5654i | 0.300134 | + | 0.923717i | ||||
\(767\) | 0.175305 | − | 0.539533i | 0.00632989 | − | 0.0194814i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −45.4931 | −1.64052 | −0.820262 | − | 0.571988i | \(-0.806172\pi\) | ||||
−0.820262 | + | 0.571988i | \(0.806172\pi\) | |||||||
\(770\) | −2.44212 | + | 2.99105i | −0.0880080 | + | 0.107790i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −0.325659 | − | 0.236605i | −0.0117207 | − | 0.00851562i | ||||
\(773\) | −1.87073 | + | 5.75752i | −0.0672855 | + | 0.207084i | −0.979046 | − | 0.203638i | \(-0.934723\pi\) |
0.911761 | + | 0.410722i | \(0.134723\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 25.6393 | − | 18.6280i | 0.920991 | − | 0.669139i | ||||
\(776\) | 19.0385 | − | 13.8322i | 0.683441 | − | 0.496549i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 6.82325 | − | 20.9998i | 0.244625 | − | 0.752879i | ||||
\(779\) | 28.3258 | + | 20.5799i | 1.01488 | + | 0.737352i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 34.7805 | + | 13.5120i | 1.24455 | + | 0.483497i | ||||
\(782\) | 16.3122 | 0.583322 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −1.08340 | + | 3.33438i | −0.0386930 | + | 0.119085i | ||||
\(785\) | 4.31834 | + | 13.2905i | 0.154128 | + | 0.474358i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −44.3042 | + | 32.1889i | −1.57928 | + | 1.14741i | −0.661756 | + | 0.749720i | \(0.730188\pi\) |
−0.917520 | + | 0.397691i | \(0.869812\pi\) | |||||||
\(788\) | −0.471098 | − | 1.44989i | −0.0167822 | − | 0.0516502i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.146208 | + | 0.106227i | 0.00520186 | + | 0.00377937i | ||||
\(791\) | 4.40261 | 0.156539 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.298931 | 0.0106153 | ||||||||
\(794\) | −33.4300 | − | 24.2883i | −1.18639 | − | 0.861960i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0.348564 | + | 1.07277i | 0.0123545 | + | 0.0380233i | ||||
\(797\) | −35.0241 | + | 25.4465i | −1.24062 | + | 0.901361i | −0.997639 | − | 0.0686704i | \(-0.978124\pi\) |
−0.242978 | + | 0.970032i | \(0.578124\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 3.82429 | + | 11.7700i | 0.135294 | + | 0.416391i | ||||
\(800\) | −1.63878 | + | 5.04364i | −0.0579395 | + | 0.178319i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −4.64342 | −0.163965 | ||||||||
\(803\) | 1.28572 | − | 1.57472i | 0.0453722 | − | 0.0555708i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −4.22361 | − | 3.06863i | −0.148863 | − | 0.108155i | ||||
\(806\) | 0.121851 | − | 0.375020i | 0.00429203 | − | 0.0132095i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 21.8033 | − | 15.8410i | 0.767036 | − | 0.557284i | ||||
\(809\) | −12.5538 | + | 9.12083i | −0.441366 | + | 0.320671i | −0.786178 | − | 0.618001i | \(-0.787943\pi\) |
0.344811 | + | 0.938672i | \(0.387943\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 12.8063 | − | 39.4138i | 0.449691 | − | 1.38401i | −0.427566 | − | 0.903984i | \(-0.640629\pi\) |
0.877257 | − | 0.480022i | \(-0.159371\pi\) | |||||||
\(812\) | −0.840349 | − | 0.610549i | −0.0294905 | − | 0.0214261i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −49.4748 | + | 13.0433i | −1.73409 | + | 0.457169i | ||||
\(815\) | 19.2136 | 0.673024 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 3.16182 | − | 9.73109i | 0.110618 | − | 0.340448i | ||||
\(818\) | −10.9547 | − | 33.7152i | −0.383023 | − | 1.17882i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.965645 | − | 0.701582i | 0.0337218 | − | 0.0245003i | ||||
\(821\) | 12.3892 | + | 38.1299i | 0.432385 | + | 1.33074i | 0.895743 | + | 0.444572i | \(0.146644\pi\) |
−0.463359 | + | 0.886171i | \(0.653356\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −3.42241 | − | 2.48653i | −0.119298 | − | 0.0866749i | 0.526537 | − | 0.850152i | \(-0.323490\pi\) |
−0.645834 | + | 0.763478i | \(0.723490\pi\) | |||||||
\(824\) | −10.1853 | −0.354823 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −19.1275 | −0.665532 | ||||||||
\(827\) | 38.5811 | + | 28.0308i | 1.34160 | + | 0.974727i | 0.999384 | + | 0.0351040i | \(0.0111762\pi\) |
0.342212 | + | 0.939623i | \(0.388824\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 1.44782 | + | 4.45592i | 0.0502847 | + | 0.154761i | 0.973046 | − | 0.230612i | \(-0.0740729\pi\) |
−0.922761 | + | 0.385373i | \(0.874073\pi\) | |||||||
\(830\) | 8.39798 | − | 6.10149i | 0.291498 | − | 0.211786i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.106074 | + | 0.326463i | 0.00367747 | + | 0.0113181i | ||||
\(833\) | −0.632351 | + | 1.94618i | −0.0219097 | + | 0.0674310i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 4.12244 | 0.142663 | ||||||||
\(836\) | −2.27238 | − | 3.53022i | −0.0785920 | − | 0.122095i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 31.4420 | + | 22.8440i | 1.08615 | + | 0.789132i | ||||
\(839\) | 2.14367 | − | 6.59755i | 0.0740078 | − | 0.227773i | −0.907209 | − | 0.420680i | \(-0.861792\pi\) |
0.981217 | + | 0.192907i | \(0.0617916\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 5.79854 | − | 4.21288i | 0.199949 | − | 0.145272i | ||||
\(842\) | 21.5635 | − | 15.6668i | 0.743126 | − | 0.539913i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −0.556911 | + | 1.71399i | −0.0191697 | + | 0.0589981i | ||||
\(845\) | 9.18264 | + | 6.67158i | 0.315893 | + | 0.229509i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 10.9301 | + | 1.23791i | 0.375563 | + | 0.0425352i | ||||
\(848\) | −0.436146 | −0.0149773 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 3.57270 | − | 10.9957i | 0.122543 | − | 0.377148i | ||||
\(851\) | −21.3766 | − | 65.7905i | −0.732782 | − | 2.25527i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 5.04732 | − | 3.66709i | 0.172817 | − | 0.125559i | −0.498015 | − | 0.867169i | \(-0.665937\pi\) |
0.670831 | + | 0.741610i | \(0.265937\pi\) | |||||||
\(854\) | −3.11459 | − | 9.58572i | −0.106579 | − | 0.328017i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −7.89038 | − | 5.73270i | −0.269688 | − | 0.195939i | ||||
\(857\) | −26.5684 | −0.907559 | −0.453779 | − | 0.891114i | \(-0.649925\pi\) | ||||
−0.453779 | + | 0.891114i | \(0.649925\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 44.6475 | 1.52335 | 0.761677 | − | 0.647957i | \(-0.224377\pi\) | ||||
0.761677 | + | 0.647957i | \(0.224377\pi\) | |||||||
\(860\) | −0.282194 | − | 0.205026i | −0.00962274 | − | 0.00699133i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −6.97477 | − | 21.4661i | −0.237561 | − | 0.731139i | ||||
\(863\) | −17.1761 | + | 12.4792i | −0.584682 | + | 0.424796i | −0.840409 | − | 0.541953i | \(-0.817685\pi\) |
0.255727 | + | 0.966749i | \(0.417685\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 2.55690 | + | 7.86932i | 0.0869371 | + | 0.267565i | ||||
\(866\) | −3.52332 | + | 10.8437i | −0.119727 | + | 0.368483i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 1.66260 | 0.0564323 | ||||||||
\(869\) | 0.0290150 | − | 0.514011i | 0.000984265 | − | 0.0174366i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.155460 | − | 0.112948i | −0.00526757 | − | 0.00382711i | ||||
\(872\) | −9.15170 | + | 28.1660i | −0.309916 | + | 0.953822i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −36.7220 | + | 26.6801i | −1.24214 | + | 0.902468i | ||||
\(875\) | −6.52576 | + | 4.74124i | −0.220611 | + | 0.160283i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 2.97741 | − | 9.16354i | 0.100540 | − | 0.309431i | −0.888118 | − | 0.459616i | \(-0.847987\pi\) |
0.988658 | + | 0.150185i | \(0.0479870\pi\) | |||||||
\(878\) | 36.6107 | + | 26.5992i | 1.23555 | + | 0.897680i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 9.81821 | − | 2.58844i | 0.330972 | − | 0.0872561i | ||||
\(881\) | 38.9952 | 1.31378 | 0.656891 | − | 0.753985i | \(-0.271871\pi\) | ||||
0.656891 | + | 0.753985i | \(0.271871\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 4.58283 | − | 14.1045i | 0.154225 | − | 0.474654i | −0.843857 | − | 0.536568i | \(-0.819720\pi\) |
0.998081 | + | 0.0619139i | \(0.0197204\pi\) | |||||||
\(884\) | 0.00555889 | + | 0.0171085i | 0.000186966 | + | 0.000575421i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −37.9260 | + | 27.5548i | −1.27415 | + | 0.925723i | ||||
\(887\) | 5.44150 | + | 16.7472i | 0.182708 | + | 0.562316i | 0.999901 | − | 0.0140468i | \(-0.00447138\pi\) |
−0.817194 | + | 0.576363i | \(0.804471\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 10.5029 | + | 7.63082i | 0.352257 | + | 0.255929i | ||||
\(890\) | −6.02721 | −0.202032 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 3.60245 | 0.120619 | ||||||||
\(893\) | −27.8601 | − | 20.2416i | −0.932304 | − | 0.677358i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −4.78110 | − | 14.7147i | −0.159814 | − | 0.491858i | ||||
\(896\) | 7.33845 | − | 5.33170i | 0.245160 | − | 0.178119i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0.794360 | + | 2.44479i | 0.0265081 | + | 0.0815837i | ||||
\(899\) | 10.7988 | − | 33.2351i | 0.360159 | − | 1.10845i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.254566 | −0.00848081 | ||||||||
\(902\) | 25.3450 | + | 9.84638i | 0.843898 | + | 0.327848i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −10.5536 | − | 7.66764i | −0.351007 | − | 0.255022i | ||||
\(905\) | 4.39138 | − | 13.5153i | 0.145974 | − | 0.449263i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −37.2249 | + | 27.0455i | −1.23603 | + | 0.898031i | −0.997328 | − | 0.0730605i | \(-0.976723\pi\) |
−0.238706 | + | 0.971092i | \(0.576723\pi\) | |||||||
\(908\) | −4.25776 | + | 3.09345i | −0.141299 | + | 0.102660i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.0142269 | + | 0.0437859i | −0.000471618 | + | 0.00145149i | ||||
\(911\) | 15.7758 | + | 11.4618i | 0.522677 | + | 0.379747i | 0.817611 | − | 0.575770i | \(-0.195298\pi\) |
−0.294934 | + | 0.955517i | \(0.595298\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −27.5640 | − | 10.7084i | −0.912235 | − | 0.354397i | ||||
\(914\) | −10.2020 | −0.337451 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.697727 | + | 2.14738i | −0.0230536 | + | 0.0709515i | ||||
\(917\) | 5.60110 | + | 17.2384i | 0.184965 | + | 0.569262i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −9.49601 | + | 6.89925i | −0.313244 | + | 0.227585i | −0.733287 | − | 0.679919i | \(-0.762015\pi\) |
0.420043 | + | 0.907504i | \(0.362015\pi\) | |||||||
\(920\) | 4.78014 | + | 14.7118i | 0.157597 | + | 0.485032i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 43.9583 | + | 31.9376i | 1.44769 | + | 1.05181i | ||||
\(923\) | 0.444882 | 0.0146435 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −49.0298 | −1.61209 | ||||||||
\(926\) | 9.03281 | + | 6.56272i | 0.296837 | + | 0.215664i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 1.80702 | + | 5.56143i | 0.0593183 | + | 0.182563i | ||||
\(929\) | 28.8740 | − | 20.9782i | 0.947326 | − | 0.688273i | −0.00284654 | − | 0.999996i | \(-0.500906\pi\) |
0.950173 | + | 0.311723i | \(0.100906\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.75961 | − | 5.41551i | −0.0576688 | − | 0.177486i | ||||
\(932\) | 1.61544 | − | 4.97183i | 0.0529156 | − | 0.162858i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −12.6612 | −0.414288 | ||||||||
\(935\) | 5.73060 | − | 1.51079i | 0.187411 | − | 0.0494082i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −28.6021 | − | 20.7806i | −0.934390 | − | 0.678874i | 0.0126738 | − | 0.999920i | \(-0.495966\pi\) |
−0.947064 | + | 0.321046i | \(0.895966\pi\) | |||||||
\(938\) | −2.00213 | + | 6.16191i | −0.0653718 | + | 0.201194i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.949769 | + | 0.690048i | −0.0309781 | + | 0.0225069i | ||||
\(941\) | −24.7099 | + | 17.9528i | −0.805520 | + | 0.585245i | −0.912528 | − | 0.409014i | \(-0.865873\pi\) |
0.107008 | + | 0.994258i | \(0.465873\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −11.3601 | + | 34.9627i | −0.369935 | + | 1.13854i | ||||
\(944\) | 40.6908 | + | 29.5636i | 1.32437 | + | 0.962214i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.447822 | − | 7.93334i | 0.0145600 | − | 0.257935i | ||||
\(947\) | −38.9527 | −1.26579 | −0.632897 | − | 0.774236i | \(-0.718134\pi\) | ||||
−0.632897 | + | 0.774236i | \(0.718134\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.00749016 | − | 0.0230523i | 0.000243141 | − | 0.000748311i | ||||
\(950\) | 9.94155 | + | 30.5970i | 0.322547 | + | 0.992696i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 4.90530 | − | 3.56391i | 0.158982 | − | 0.115507i | ||||
\(953\) | −10.9035 | − | 33.5576i | −0.353200 | − | 1.08704i | −0.957046 | − | 0.289937i | \(-0.906366\pi\) |
0.603846 | − | 0.797101i | \(-0.293634\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 4.55376 | + | 3.30850i | 0.147356 | + | 0.107060i | ||||
\(956\) | 1.73966 | 0.0562645 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 48.3966 | 1.56362 | ||||||||
\(959\) | −4.21254 | − | 3.06059i | −0.136030 | − | 0.0988316i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 7.70506 | + | 23.7137i | 0.248550 | + | 0.764959i | ||||
\(962\) | −0.493534 | + | 0.358573i | −0.0159122 | + | 0.0115609i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0.471350 | + | 1.45067i | 0.0151812 | + | 0.0467228i | ||||
\(965\) | −0.488605 | + | 1.50377i | −0.0157288 | + | 0.0484081i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 31.4791 | 1.01230 | 0.506150 | − | 0.862445i | \(-0.331068\pi\) | ||||
0.506150 | + | 0.862445i | \(0.331068\pi\) | |||||||
\(968\) | −24.0449 | − | 22.0034i | −0.772831 | − | 0.707217i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −7.48078 | − | 5.43511i | −0.240193 | − | 0.174511i | ||||
\(971\) | 10.6540 | − | 32.7896i | 0.341903 | − | 1.05227i | −0.621318 | − | 0.783559i | \(-0.713402\pi\) |
0.963221 | − | 0.268711i | \(-0.0865975\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −14.6822 | + | 10.6673i | −0.470691 | + | 0.341977i | ||||
\(974\) | −5.78958 | + | 4.20638i | −0.185510 | + | 0.134781i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −8.18993 | + | 25.2060i | −0.262153 | + | 0.806825i | ||||
\(977\) | 4.46523 | + | 3.24418i | 0.142855 | + | 0.103790i | 0.656918 | − | 0.753962i | \(-0.271860\pi\) |
−0.514062 | + | 0.857753i | \(0.671860\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 9.29325 | + | 14.4373i | 0.297014 | + | 0.461420i | ||||
\(980\) | −0.194119 | −0.00620090 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −9.50159 | + | 29.2429i | −0.303208 | + | 0.933178i | ||||
\(983\) | 10.1999 | + | 31.3921i | 0.325327 | + | 1.00125i | 0.971293 | + | 0.237887i | \(0.0764547\pi\) |
−0.645966 | + | 0.763366i | \(0.723545\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −4.84458 | + | 3.51980i | −0.154361 | + | 0.112150i | ||||
\(986\) | −3.93949 | − | 12.1245i | −0.125459 | − | 0.386123i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.0404968 | − | 0.0294226i | −0.00128837 | − | 0.000936059i | ||||
\(989\) | 10.7431 | 0.341610 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −40.9399 | −1.30050 | −0.650249 | − | 0.759721i | \(-0.725335\pi\) | ||||
−0.650249 | + | 0.759721i | \(0.725335\pi\) | |||||||
\(992\) | −7.57222 | − | 5.50154i | −0.240418 | − | 0.174674i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −4.63527 | − | 14.2659i | −0.147022 | − | 0.452486i | ||||
\(995\) | 3.58449 | − | 2.60428i | 0.113636 | − | 0.0825614i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −11.7054 | − | 36.0256i | −0.370714 | − | 1.14094i | −0.946325 | − | 0.323217i | \(-0.895236\pi\) |
0.575611 | − | 0.817724i | \(-0.304764\pi\) | |||||||
\(998\) | 13.6538 | − | 42.0220i | 0.432202 | − | 1.33018i | ||||
\(999\) | 0 | 0 |
(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 | 693.2.m.j.631.2 | 20 | ||
3.2 | odd | 2 | 231.2.j.g.169.4 | ✓ | 20 | ||
11.3 | even | 5 | inner | 693.2.m.j.190.2 | 20 | ||
11.5 | even | 5 | 7623.2.a.cx.1.7 | 10 | |||
11.6 | odd | 10 | 7623.2.a.cy.1.4 | 10 | |||
33.5 | odd | 10 | 2541.2.a.bq.1.4 | 10 | |||
33.14 | odd | 10 | 231.2.j.g.190.4 | yes | 20 | ||
33.17 | even | 10 | 2541.2.a.br.1.7 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.j.g.169.4 | ✓ | 20 | 3.2 | odd | 2 | ||
231.2.j.g.190.4 | yes | 20 | 33.14 | odd | 10 | ||
693.2.m.j.190.2 | 20 | 11.3 | even | 5 | inner | ||
693.2.m.j.631.2 | 20 | 1.1 | even | 1 | trivial | ||
2541.2.a.bq.1.4 | 10 | 33.5 | odd | 10 | |||
2541.2.a.br.1.7 | 10 | 33.17 | even | 10 | |||
7623.2.a.cx.1.7 | 10 | 11.5 | even | 5 | |||
7623.2.a.cy.1.4 | 10 | 11.6 | odd | 10 |