Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [187,2,Mod(6,187)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(187, base_ring=CyclotomicField(80))
chi = DirichletCharacter(H, H._module([72, 75]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("187.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 187 = 11 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 187.t (of order \(80\), degree \(32\), 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: | \(1.49320251780\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{80})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{80}]$ |
Embedding invariants
Embedding label | 6.5 | ||
Character | \(\chi\) | \(=\) | 187.6 |
Dual form | 187.2.t.a.156.5 |
$q$-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 \(\left(\mathbb{Z}/187\mathbb{Z}\right)^\times\).
\(n\) | \(35\) | \(122\) |
\(\chi(n)\) | \(e\left(\frac{9}{10}\right)\) | \(e\left(\frac{15}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.67599 | − | 0.131903i | −1.18510 | − | 0.0932697i | −0.529456 | − | 0.848337i | \(-0.677604\pi\) |
−0.655647 | + | 0.755068i | \(0.727604\pi\) | |||||||
\(3\) | −1.59616 | − | 0.735838i | −0.921542 | − | 0.424837i | −0.100002 | − | 0.994987i | \(-0.531885\pi\) |
−0.821540 | + | 0.570151i | \(0.806885\pi\) | |||||||
\(4\) | 0.816165 | + | 0.129268i | 0.408082 | + | 0.0646339i | ||||
\(5\) | 0.713695 | + | 0.905318i | 0.319174 | + | 0.404870i | 0.918364 | − | 0.395736i | \(-0.129511\pi\) |
−0.599190 | + | 0.800607i | \(0.704511\pi\) | |||||||
\(6\) | 2.57808 | + | 1.44380i | 1.05250 | + | 0.589427i | ||||
\(7\) | −1.01149 | + | 2.74177i | −0.382308 | + | 1.03629i | 0.590976 | + | 0.806689i | \(0.298743\pi\) |
−0.973284 | + | 0.229603i | \(0.926257\pi\) | |||||||
\(8\) | 1.91861 | + | 0.460617i | 0.678331 | + | 0.162853i | ||||
\(9\) | 0.0579148 | + | 0.0678096i | 0.0193049 | + | 0.0226032i | ||||
\(10\) | −1.07673 | − | 1.61144i | −0.340492 | − | 0.509583i | ||||
\(11\) | 0.860967 | − | 3.20293i | 0.259591 | − | 0.965719i | ||||
\(12\) | −1.20761 | − | 0.806897i | −0.348606 | − | 0.232931i | ||||
\(13\) | 2.31530 | − | 4.54403i | 0.642149 | − | 1.26029i | −0.308855 | − | 0.951109i | \(-0.599946\pi\) |
0.951004 | − | 0.309179i | \(-0.100054\pi\) | |||||||
\(14\) | 2.05690 | − | 4.46176i | 0.549730 | − | 1.19246i | ||||
\(15\) | −0.473002 | − | 1.97019i | −0.122129 | − | 0.508702i | ||||
\(16\) | −4.72660 | − | 1.53577i | −1.18165 | − | 0.383941i | ||||
\(17\) | 3.99894 | + | 1.00422i | 0.969886 | + | 0.243560i | ||||
\(18\) | −0.0881204 | − | 0.121287i | −0.0207702 | − | 0.0285877i | ||||
\(19\) | 1.30963 | − | 0.802542i | 0.300450 | − | 0.184116i | −0.364100 | − | 0.931360i | \(-0.618623\pi\) |
0.664550 | + | 0.747244i | \(0.268623\pi\) | |||||||
\(20\) | 0.465464 | + | 0.831146i | 0.104081 | + | 0.185850i | ||||
\(21\) | 3.63200 | − | 3.63200i | 0.792568 | − | 0.792568i | ||||
\(22\) | −1.86545 | + | 5.25451i | −0.397715 | + | 1.12026i | ||||
\(23\) | 7.76059 | + | 1.54368i | 1.61820 | + | 0.321879i | 0.919364 | − | 0.393407i | \(-0.128704\pi\) |
0.698831 | + | 0.715287i | \(0.253704\pi\) | |||||||
\(24\) | −2.72346 | − | 2.14700i | −0.555924 | − | 0.438255i | ||||
\(25\) | 0.856987 | − | 3.56961i | 0.171397 | − | 0.713922i | ||||
\(26\) | −4.47979 | + | 7.31035i | −0.878559 | + | 1.43368i | ||||
\(27\) | 1.38871 | + | 4.92400i | 0.267258 | + | 0.947624i | ||||
\(28\) | −1.17997 | + | 2.10698i | −0.222993 | + | 0.398182i | ||||
\(29\) | −0.264053 | − | 6.72059i | −0.0490333 | − | 1.24798i | −0.804962 | − | 0.593327i | \(-0.797814\pi\) |
0.755928 | − | 0.654655i | \(-0.227186\pi\) | |||||||
\(30\) | 0.532871 | + | 3.36441i | 0.0972885 | + | 0.614255i | ||||
\(31\) | −7.25885 | + | 4.06515i | −1.30373 | + | 0.730122i | −0.976642 | − | 0.214872i | \(-0.931066\pi\) |
−0.327085 | + | 0.944995i | \(0.606066\pi\) | |||||||
\(32\) | 4.07330 | + | 1.68721i | 0.720064 | + | 0.298260i | ||||
\(33\) | −3.73107 | + | 4.47884i | −0.649497 | + | 0.779666i | ||||
\(34\) | −6.56972 | − | 2.21054i | −1.12670 | − | 0.379104i | ||||
\(35\) | −3.20407 | + | 1.04107i | −0.541587 | + | 0.175972i | ||||
\(36\) | 0.0385025 | + | 0.0628303i | 0.00641708 | + | 0.0104717i | ||||
\(37\) | 0.447771 | − | 0.484396i | 0.0736130 | − | 0.0796341i | −0.696436 | − | 0.717619i | \(-0.745232\pi\) |
0.770049 | + | 0.637985i | \(0.220232\pi\) | |||||||
\(38\) | −2.30078 | + | 1.17231i | −0.373236 | + | 0.190173i | ||||
\(39\) | −7.03926 | + | 5.54930i | −1.12718 | + | 0.888600i | ||||
\(40\) | 0.952297 | + | 2.06569i | 0.150571 | + | 0.326615i | ||||
\(41\) | 12.3324 | + | 0.484543i | 1.92600 | + | 0.0756729i | 0.973477 | − | 0.228783i | \(-0.0734746\pi\) |
0.952526 | + | 0.304456i | \(0.0984746\pi\) | |||||||
\(42\) | −6.56627 | + | 5.60812i | −1.01320 | + | 0.865352i | ||||
\(43\) | −1.32121 | − | 3.18967i | −0.201482 | − | 0.486421i | 0.790551 | − | 0.612396i | \(-0.209794\pi\) |
−0.992033 | + | 0.125975i | \(0.959794\pi\) | |||||||
\(44\) | 1.11673 | − | 2.50282i | 0.168353 | − | 0.377314i | ||||
\(45\) | −0.0200557 | + | 0.100827i | −0.00298972 | + | 0.0150304i | ||||
\(46\) | −12.8031 | − | 3.61083i | −1.88771 | − | 0.532389i | ||||
\(47\) | 3.16955 | − | 0.502007i | 0.462326 | − | 0.0732253i | 0.0790736 | − | 0.996869i | \(-0.474804\pi\) |
0.383253 | + | 0.923643i | \(0.374804\pi\) | |||||||
\(48\) | 6.41432 | + | 5.92934i | 0.925827 | + | 0.855826i | ||||
\(49\) | −1.17135 | − | 1.00043i | −0.167336 | − | 0.142918i | ||||
\(50\) | −1.90714 | + | 5.86958i | −0.269711 | + | 0.830085i | ||||
\(51\) | −5.64399 | − | 4.54547i | −0.790317 | − | 0.636493i | ||||
\(52\) | 2.47706 | − | 3.40939i | 0.343507 | − | 0.472797i | ||||
\(53\) | −0.599794 | + | 7.62111i | −0.0823881 | + | 1.04684i | 0.807261 | + | 0.590195i | \(0.200949\pi\) |
−0.889649 | + | 0.456645i | \(0.849051\pi\) | |||||||
\(54\) | −1.67797 | − | 8.43574i | −0.228343 | − | 1.14796i | ||||
\(55\) | 3.51413 | − | 1.50646i | 0.473846 | − | 0.203132i | ||||
\(56\) | −3.20357 | + | 4.79448i | −0.428095 | + | 0.640689i | ||||
\(57\) | −2.68092 | + | 0.317307i | −0.355096 | + | 0.0420284i | ||||
\(58\) | −0.443918 | + | 11.2985i | −0.0582892 | + | 1.48356i | ||||
\(59\) | −6.36637 | − | 3.90132i | −0.828831 | − | 0.507908i | 0.0422158 | − | 0.999109i | \(-0.486558\pi\) |
−0.871047 | + | 0.491200i | \(0.836558\pi\) | |||||||
\(60\) | −0.131365 | − | 1.66915i | −0.0169591 | − | 0.215486i | ||||
\(61\) | 0.00364610 | − | 0.00102831i | 0.000466835 | − | 0.000131661i | −0.271207 | − | 0.962521i | \(-0.587423\pi\) |
0.271674 | + | 0.962389i | \(0.412423\pi\) | |||||||
\(62\) | 12.7020 | − | 5.85568i | 1.61315 | − | 0.743672i | ||||
\(63\) | −0.244499 | + | 0.0902004i | −0.0308040 | + | 0.0113642i | ||||
\(64\) | 2.25207 | + | 1.14749i | 0.281509 | + | 0.143436i | ||||
\(65\) | 5.76621 | − | 1.14697i | 0.715211 | − | 0.142264i | ||||
\(66\) | 6.84401 | − | 7.01435i | 0.842440 | − | 0.863407i | ||||
\(67\) | 0.982648i | 0.120050i | 0.998197 | + | 0.0600248i | \(0.0191180\pi\) | ||||
−0.998197 | + | 0.0600248i | \(0.980882\pi\) | |||||||
\(68\) | 3.13398 | + | 1.33655i | 0.380051 | + | 0.162080i | ||||
\(69\) | −11.2512 | − | 8.17450i | −1.35449 | − | 0.984094i | ||||
\(70\) | 5.50731 | − | 1.32219i | 0.658249 | − | 0.158032i | ||||
\(71\) | −0.116968 | + | 0.988256i | −0.0138815 | + | 0.117284i | −0.998276 | − | 0.0586901i | \(-0.981308\pi\) |
0.984395 | + | 0.175974i | \(0.0563076\pi\) | |||||||
\(72\) | 0.0798817 | + | 0.156777i | 0.00941415 | + | 0.0184763i | ||||
\(73\) | −1.89424 | + | 0.0744250i | −0.221704 | + | 0.00871079i | −0.149870 | − | 0.988706i | \(-0.547885\pi\) |
−0.0718347 | + | 0.997417i | \(0.522885\pi\) | |||||||
\(74\) | −0.814352 | + | 0.752779i | −0.0946665 | + | 0.0875088i | ||||
\(75\) | −3.99454 | + | 5.06705i | −0.461250 | + | 0.585093i | ||||
\(76\) | 1.17262 | − | 0.485714i | 0.134508 | − | 0.0557152i | ||||
\(77\) | 7.91083 | + | 5.60031i | 0.901523 | + | 0.638215i | ||||
\(78\) | 12.5297 | − | 8.37207i | 1.41871 | − | 0.947950i | ||||
\(79\) | 0.0753203 | + | 0.636378i | 0.00847420 | + | 0.0715981i | 0.996660 | − | 0.0816619i | \(-0.0260228\pi\) |
−0.988186 | + | 0.153260i | \(0.951023\pi\) | |||||||
\(80\) | −1.98300 | − | 5.37514i | −0.221706 | − | 0.600959i | ||||
\(81\) | 1.44852 | − | 9.14557i | 0.160946 | − | 1.01617i | ||||
\(82\) | −20.6051 | − | 2.43878i | −2.27546 | − | 0.269318i | ||||
\(83\) | 7.66024 | − | 8.96899i | 0.840821 | − | 0.984475i | −0.159175 | − | 0.987250i | \(-0.550884\pi\) |
0.999996 | + | 0.00277564i | \(0.000883513\pi\) | |||||||
\(84\) | 3.43381 | − | 2.49481i | 0.374660 | − | 0.272206i | ||||
\(85\) | 1.94488 | + | 4.33702i | 0.210952 | + | 0.470416i | ||||
\(86\) | 1.79360 | + | 5.52013i | 0.193409 | + | 0.595251i | ||||
\(87\) | −4.52380 | + | 10.9214i | −0.485002 | + | 1.17090i | ||||
\(88\) | 3.12718 | − | 5.74859i | 0.333359 | − | 0.612802i | ||||
\(89\) | −8.56404 | − | 8.56404i | −0.907787 | − | 0.907787i | 0.0883068 | − | 0.996093i | \(-0.471854\pi\) |
−0.996093 | + | 0.0883068i | \(0.971854\pi\) | |||||||
\(90\) | 0.0469125 | − | 0.166339i | 0.00494501 | − | 0.0175337i | ||||
\(91\) | 10.1168 | + | 10.9443i | 1.06053 | + | 1.14727i | ||||
\(92\) | 6.13437 | + | 2.26309i | 0.639553 | + | 0.235943i | ||||
\(93\) | 14.5776 | − | 1.14728i | 1.51162 | − | 0.118967i | ||||
\(94\) | −5.37835 | + | 0.423285i | −0.554734 | + | 0.0436585i | ||||
\(95\) | 1.66123 | + | 0.612861i | 0.170439 | + | 0.0628782i | ||||
\(96\) | −5.26010 | − | 5.69035i | −0.536857 | − | 0.580769i | ||||
\(97\) | 2.75720 | − | 9.77628i | 0.279951 | − | 0.992631i | −0.684640 | − | 0.728881i | \(-0.740041\pi\) |
0.964591 | − | 0.263750i | \(-0.0849593\pi\) | |||||||
\(98\) | 1.83121 | + | 1.83121i | 0.184980 | + | 0.184980i | ||||
\(99\) | 0.267052 | − | 0.127115i | 0.0268397 | − | 0.0127756i | ||||
\(100\) | 1.16088 | − | 2.80261i | 0.116088 | − | 0.280261i | ||||
\(101\) | 0.986219 | + | 3.03527i | 0.0981325 | + | 0.302021i | 0.988057 | − | 0.154086i | \(-0.0492434\pi\) |
−0.889925 | + | 0.456107i | \(0.849243\pi\) | |||||||
\(102\) | 8.85971 | + | 8.36262i | 0.877242 | + | 0.828023i | ||||
\(103\) | −11.5824 | + | 8.41507i | −1.14124 | + | 0.829162i | −0.987292 | − | 0.158917i | \(-0.949200\pi\) |
−0.153951 | + | 0.988078i | \(0.549200\pi\) | |||||||
\(104\) | 6.53522 | − | 7.65176i | 0.640831 | − | 0.750316i | ||||
\(105\) | 5.88026 | + | 0.695974i | 0.573854 | + | 0.0679202i | ||||
\(106\) | 2.01050 | − | 12.6938i | 0.195277 | − | 1.23293i | ||||
\(107\) | −3.67080 | − | 9.95014i | −0.354870 | − | 0.961917i | −0.982967 | − | 0.183782i | \(-0.941166\pi\) |
0.628097 | − | 0.778135i | \(-0.283834\pi\) | |||||||
\(108\) | 0.496903 | + | 4.19831i | 0.0478145 | + | 0.403982i | ||||
\(109\) | 8.51923 | − | 5.69236i | 0.815994 | − | 0.545230i | −0.0760893 | − | 0.997101i | \(-0.524243\pi\) |
0.892083 | + | 0.451871i | \(0.149243\pi\) | |||||||
\(110\) | −6.08836 | + | 2.06129i | −0.580502 | + | 0.196536i | ||||
\(111\) | −1.07115 | + | 0.443685i | −0.101669 | + | 0.0421127i | ||||
\(112\) | 8.99164 | − | 11.4058i | 0.849630 | − | 1.07775i | ||||
\(113\) | −11.5027 | + | 10.6330i | −1.08209 | + | 1.00027i | −0.0820940 | + | 0.996625i | \(0.526161\pi\) |
−0.999993 | + | 0.00364671i | \(0.998839\pi\) | |||||||
\(114\) | 4.53504 | − | 0.178182i | 0.424746 | − | 0.0166883i | ||||
\(115\) | 4.14118 | + | 8.12752i | 0.386167 | + | 0.757895i | ||||
\(116\) | 0.653245 | − | 5.51924i | 0.0606523 | − | 0.512448i | ||||
\(117\) | 0.442219 | − | 0.106167i | 0.0408832 | − | 0.00981518i | ||||
\(118\) | 10.1554 | + | 7.37831i | 0.934878 | + | 0.679228i | ||||
\(119\) | −6.79825 | + | 9.94842i | −0.623195 | + | 0.911970i | ||||
\(120\) | − | 3.99790i | − | 0.364957i | ||||||
\(121\) | −9.51747 | − | 5.51523i | −0.865225 | − | 0.501384i | ||||
\(122\) | −0.00624646 | + | 0.00124250i | −0.000565528 | + | 0.000112490i | ||||
\(123\) | −19.3280 | − | 9.84809i | −1.74274 | − | 0.887973i | ||||
\(124\) | −6.44991 | + | 2.37950i | −0.579219 | + | 0.213685i | ||||
\(125\) | 9.07782 | − | 4.18493i | 0.811945 | − | 0.374312i | ||||
\(126\) | 0.421675 | − | 0.118925i | 0.0375658 | − | 0.0105947i | ||||
\(127\) | 0.573452 | + | 7.28640i | 0.0508857 | + | 0.646564i | 0.968487 | + | 0.249063i | \(0.0801225\pi\) |
−0.917602 | + | 0.397501i | \(0.869878\pi\) | |||||||
\(128\) | −11.1415 | − | 6.82752i | −0.984779 | − | 0.603474i | ||||
\(129\) | −0.238232 | + | 6.06341i | −0.0209752 | + | 0.533854i | ||||
\(130\) | −9.81540 | + | 1.16173i | −0.860867 | + | 0.101890i | ||||
\(131\) | 3.15856 | − | 4.72712i | 0.275965 | − | 0.413011i | −0.667435 | − | 0.744668i | \(-0.732608\pi\) |
0.943400 | + | 0.331657i | \(0.107608\pi\) | |||||||
\(132\) | −3.62414 | + | 3.17316i | −0.315441 | + | 0.276188i | ||||
\(133\) | 0.875706 | + | 4.40247i | 0.0759333 | + | 0.381743i | ||||
\(134\) | 0.129614 | − | 1.64691i | 0.0111970 | − | 0.142271i | ||||
\(135\) | −3.46667 | + | 4.77146i | −0.298363 | + | 0.410662i | ||||
\(136\) | 7.20984 | + | 3.76869i | 0.618239 | + | 0.323163i | ||||
\(137\) | −1.35485 | + | 4.16980i | −0.115753 | + | 0.356250i | −0.992103 | − | 0.125424i | \(-0.959971\pi\) |
0.876351 | + | 0.481674i | \(0.159971\pi\) | |||||||
\(138\) | 17.7787 | + | 15.1844i | 1.51342 | + | 1.29259i | ||||
\(139\) | 7.92996 | + | 7.33038i | 0.672610 | + | 0.621754i | 0.939733 | − | 0.341908i | \(-0.111073\pi\) |
−0.267123 | + | 0.963662i | \(0.586073\pi\) | |||||||
\(140\) | −2.74963 | + | 0.435498i | −0.232386 | + | 0.0368063i | ||||
\(141\) | −5.42850 | − | 1.53099i | −0.457162 | − | 0.128933i | ||||
\(142\) | 0.326391 | − | 1.64088i | 0.0273901 | − | 0.137699i | ||||
\(143\) | −12.5608 | − | 11.3280i | −1.05039 | − | 0.947295i | ||||
\(144\) | −0.169601 | − | 0.409452i | −0.0141334 | − | 0.0341210i | ||||
\(145\) | 5.89581 | − | 5.03550i | 0.489621 | − | 0.418176i | ||||
\(146\) | 3.18455 | + | 0.125121i | 0.263555 | + | 0.0103551i | ||||
\(147\) | 1.13351 | + | 2.45876i | 0.0934900 | + | 0.202796i | ||||
\(148\) | 0.428071 | − | 0.337464i | 0.0351872 | − | 0.0277394i | ||||
\(149\) | −8.64529 | + | 4.40500i | −0.708250 | + | 0.360871i | −0.770719 | − | 0.637176i | \(-0.780103\pi\) |
0.0624689 | + | 0.998047i | \(0.480103\pi\) | |||||||
\(150\) | 7.36317 | − | 7.96543i | 0.601200 | − | 0.650375i | ||||
\(151\) | −2.93558 | − | 4.79044i | −0.238894 | − | 0.389840i | 0.710614 | − | 0.703582i | \(-0.248417\pi\) |
−0.949508 | + | 0.313742i | \(0.898417\pi\) | |||||||
\(152\) | 2.88233 | − | 0.936527i | 0.233788 | − | 0.0759624i | ||||
\(153\) | 0.163502 | + | 0.329326i | 0.0132184 | + | 0.0266244i | ||||
\(154\) | −12.5198 | − | 10.4295i | −1.00887 | − | 0.840435i | ||||
\(155\) | −8.86086 | − | 3.67029i | −0.711721 | − | 0.294805i | ||||
\(156\) | −6.46254 | + | 3.61920i | −0.517417 | + | 0.289768i | ||||
\(157\) | 1.24036 | + | 7.83133i | 0.0989916 | + | 0.625008i | 0.986443 | + | 0.164106i | \(0.0524740\pi\) |
−0.887451 | + | 0.460902i | \(0.847526\pi\) | |||||||
\(158\) | −0.0422957 | − | 1.07650i | −0.00336487 | − | 0.0856416i | ||||
\(159\) | 6.56527 | − | 11.7231i | 0.520660 | − | 0.929705i | ||||
\(160\) | 1.37963 | + | 4.89178i | 0.109069 | + | 0.386729i | ||||
\(161\) | −12.0822 | + | 19.7164i | −0.952210 | + | 1.55387i | ||||
\(162\) | −3.63403 | + | 15.1368i | −0.285516 | + | 1.18926i | ||||
\(163\) | −5.65545 | − | 4.45840i | −0.442969 | − | 0.349208i | 0.372477 | − | 0.928041i | \(-0.378508\pi\) |
−0.815446 | + | 0.578833i | \(0.803508\pi\) | |||||||
\(164\) | 10.0027 | + | 1.98965i | 0.781077 | + | 0.155366i | ||||
\(165\) | −6.71762 | − | 0.181282i | −0.522966 | − | 0.0141128i | ||||
\(166\) | −14.0215 | + | 14.0215i | −1.08828 | + | 1.08828i | ||||
\(167\) | 9.59865 | + | 17.1396i | 0.742766 | + | 1.32630i | 0.938374 | + | 0.345622i | \(0.112332\pi\) |
−0.195608 | + | 0.980682i | \(0.562668\pi\) | |||||||
\(168\) | 8.64136 | − | 5.29543i | 0.666695 | − | 0.408551i | ||||
\(169\) | −7.64641 | − | 10.5244i | −0.588185 | − | 0.809568i | ||||
\(170\) | −2.68754 | − | 7.52534i | −0.206125 | − | 0.577167i | ||||
\(171\) | 0.130267 | + | 0.0423263i | 0.00996177 | + | 0.00323678i | ||||
\(172\) | −0.665999 | − | 2.77409i | −0.0507820 | − | 0.211522i | ||||
\(173\) | −4.27440 | + | 9.27189i | −0.324977 | + | 0.704929i | −0.999443 | − | 0.0333769i | \(-0.989374\pi\) |
0.674466 | + | 0.738306i | \(0.264374\pi\) | |||||||
\(174\) | 9.02240 | − | 17.7075i | 0.683987 | − | 1.34240i | ||||
\(175\) | 8.92021 | + | 5.96030i | 0.674305 | + | 0.450556i | ||||
\(176\) | −8.98839 | + | 13.8167i | −0.677525 | + | 1.04147i | ||||
\(177\) | 7.29099 | + | 10.9117i | 0.548024 | + | 0.820176i | ||||
\(178\) | 13.2236 | + | 15.4829i | 0.991152 | + | 1.16049i | ||||
\(179\) | −6.55246 | − | 1.57311i | −0.489754 | − | 0.117579i | −0.0189554 | − | 0.999820i | \(-0.506034\pi\) |
−0.470798 | + | 0.882241i | \(0.656034\pi\) | |||||||
\(180\) | −0.0294024 | + | 0.0796986i | −0.00219152 | + | 0.00594039i | ||||
\(181\) | 12.5368 | + | 7.02095i | 0.931854 | + | 0.521863i | 0.879044 | − | 0.476741i | \(-0.158182\pi\) |
0.0528105 | + | 0.998605i | \(0.483182\pi\) | |||||||
\(182\) | −15.5120 | − | 19.6769i | −1.14983 | − | 1.45855i | ||||
\(183\) | −0.00657641 | − | 0.00104160i | −0.000486142 | − | 7.69974e-5i | ||||
\(184\) | 14.1785 | + | 6.53638i | 1.04525 | + | 0.481868i | ||||
\(185\) | 0.758104 | + | 0.0596641i | 0.0557369 | + | 0.00438659i | ||||
\(186\) | −24.5832 | −1.80252 | ||||||||
\(187\) | 6.65941 | − | 11.9437i | 0.486984 | − | 0.873411i | ||||
\(188\) | 2.65177 | 0.193400 | ||||||||
\(189\) | −14.9051 | − | 1.17306i | −1.08419 | − | 0.0853276i | ||||
\(190\) | −2.70337 | − | 1.24627i | −0.196123 | − | 0.0904139i | ||||
\(191\) | 2.48092 | + | 0.392939i | 0.179513 | + | 0.0284321i | 0.245544 | − | 0.969386i | \(-0.421034\pi\) |
−0.0660307 | + | 0.997818i | \(0.521034\pi\) | |||||||
\(192\) | −2.75030 | − | 3.48873i | −0.198485 | − | 0.251778i | ||||
\(193\) | −4.89719 | − | 2.74256i | −0.352507 | − | 0.197414i | 0.302294 | − | 0.953215i | \(-0.402248\pi\) |
−0.654801 | + | 0.755801i | \(0.727248\pi\) | |||||||
\(194\) | −5.91055 | + | 16.0213i | −0.424353 | + | 1.15026i | ||||
\(195\) | −10.0478 | − | 2.41226i | −0.719535 | − | 0.172745i | ||||
\(196\) | −0.826692 | − | 0.967932i | −0.0590494 | − | 0.0691380i | ||||
\(197\) | 7.57217 | + | 11.3325i | 0.539495 | + | 0.807411i | 0.996634 | − | 0.0819846i | \(-0.0261258\pi\) |
−0.457139 | + | 0.889395i | \(0.651126\pi\) | |||||||
\(198\) | −0.464343 | + | 0.177819i | −0.0329994 | + | 0.0126370i | ||||
\(199\) | −10.2004 | − | 6.81568i | −0.723086 | − | 0.483151i | 0.138757 | − | 0.990327i | \(-0.455689\pi\) |
−0.861843 | + | 0.507176i | \(0.830689\pi\) | |||||||
\(200\) | 3.28845 | − | 6.45394i | 0.232528 | − | 0.456362i | ||||
\(201\) | 0.723070 | − | 1.56846i | 0.0510015 | − | 0.110631i | ||||
\(202\) | −1.25253 | − | 5.21717i | −0.0881278 | − | 0.367079i | ||||
\(203\) | 18.6934 | + | 6.07385i | 1.31202 | + | 0.426301i | ||||
\(204\) | −4.01885 | − | 4.43944i | −0.281375 | − | 0.310823i | ||||
\(205\) | 8.36294 | + | 11.5106i | 0.584093 | + | 0.803935i | ||||
\(206\) | 20.5219 | − | 12.5758i | 1.42983 | − | 0.876199i | ||||
\(207\) | 0.344777 | + | 0.615644i | 0.0239637 | + | 0.0427902i | ||||
\(208\) | −17.9221 | + | 17.9221i | −1.24267 | + | 1.24267i | ||||
\(209\) | −1.44294 | − | 4.88561i | −0.0998100 | − | 0.337945i | ||||
\(210\) | −9.76345 | − | 1.94207i | −0.673742 | − | 0.134016i | ||||
\(211\) | 0.815315 | + | 0.642743i | 0.0561286 | + | 0.0442482i | 0.646763 | − | 0.762691i | \(-0.276122\pi\) |
−0.590634 | + | 0.806939i | \(0.701122\pi\) | |||||||
\(212\) | −1.47469 | + | 6.14255i | −0.101282 | + | 0.421872i | ||||
\(213\) | 0.913896 | − | 1.49134i | 0.0626191 | − | 0.102185i | ||||
\(214\) | 4.83977 | + | 17.1605i | 0.330840 | + | 1.17307i | ||||
\(215\) | 1.94473 | − | 3.47256i | 0.132629 | − | 0.236827i | ||||
\(216\) | 0.396315 | + | 10.0869i | 0.0269658 | + | 0.686326i | ||||
\(217\) | −3.80344 | − | 24.0140i | −0.258194 | − | 1.63017i | ||||
\(218\) | −15.0290 | + | 8.41663i | −1.01789 | + | 0.570046i | ||||
\(219\) | 3.07827 | + | 1.27506i | 0.208011 | + | 0.0861608i | ||||
\(220\) | 3.06285 | − | 0.775258i | 0.206497 | − | 0.0522679i | ||||
\(221\) | 13.8220 | − | 15.8462i | 0.929766 | − | 1.06593i | ||||
\(222\) | 1.85376 | − | 0.602322i | 0.124416 | − | 0.0404252i | ||||
\(223\) | −6.12976 | − | 10.0029i | −0.410479 | − | 0.669841i | 0.578867 | − | 0.815422i | \(-0.303495\pi\) |
−0.989346 | + | 0.145581i | \(0.953495\pi\) | |||||||
\(224\) | −8.74606 | + | 9.46144i | −0.584371 | + | 0.632169i | ||||
\(225\) | 0.291686 | − | 0.148621i | 0.0194457 | − | 0.00990809i | ||||
\(226\) | 20.6810 | − | 16.3036i | 1.37568 | − | 1.08450i | ||||
\(227\) | −3.44233 | − | 7.46700i | −0.228476 | − | 0.495602i | 0.759443 | − | 0.650574i | \(-0.225471\pi\) |
−0.987919 | + | 0.154971i | \(0.950471\pi\) | |||||||
\(228\) | −2.22909 | − | 0.0875811i | −0.147625 | − | 0.00580020i | ||||
\(229\) | 20.5719 | − | 17.5701i | 1.35943 | − | 1.16106i | 0.388569 | − | 0.921420i | \(-0.372970\pi\) |
0.970861 | − | 0.239643i | \(-0.0770304\pi\) | |||||||
\(230\) | −5.86852 | − | 14.1679i | −0.386959 | − | 0.934202i | ||||
\(231\) | −8.50600 | − | 14.7601i | −0.559654 | − | 0.971141i | ||||
\(232\) | 2.58900 | − | 13.0158i | 0.169976 | − | 0.854530i | ||||
\(233\) | 21.3206 | + | 6.01304i | 1.39676 | + | 0.393928i | 0.885157 | − | 0.465293i | \(-0.154051\pi\) |
0.511605 | + | 0.859221i | \(0.329051\pi\) | |||||||
\(234\) | −0.755158 | + | 0.119605i | −0.0493662 | + | 0.00781885i | ||||
\(235\) | 2.71657 | + | 2.51117i | 0.177209 | + | 0.163811i | ||||
\(236\) | −4.69169 | − | 4.00708i | −0.305403 | − | 0.260839i | ||||
\(237\) | 0.348048 | − | 1.07118i | 0.0226082 | − | 0.0695808i | ||||
\(238\) | 12.7060 | − | 15.7767i | 0.823609 | − | 1.02265i | ||||
\(239\) | 9.12795 | − | 12.5635i | 0.590438 | − | 0.812668i | −0.404353 | − | 0.914603i | \(-0.632503\pi\) |
0.994791 | + | 0.101935i | \(0.0325033\pi\) | |||||||
\(240\) | −0.790066 | + | 10.0387i | −0.0509985 | + | 0.647998i | ||||
\(241\) | 3.13868 | + | 15.7792i | 0.202180 | + | 1.01643i | 0.939933 | + | 0.341358i | \(0.110887\pi\) |
−0.737753 | + | 0.675071i | \(0.764113\pi\) | |||||||
\(242\) | 15.2237 | + | 10.4988i | 0.978617 | + | 0.674891i | ||||
\(243\) | −0.514700 | + | 0.770302i | −0.0330180 | + | 0.0494149i | ||||
\(244\) | 0.00310874 | 0.000367944i | 0.000199017 | 2.35552e-5i | ||||||
\(245\) | 0.0697181 | − | 1.77445i | 0.00445413 | − | 0.113365i | ||||
\(246\) | 31.0945 | + | 19.0547i | 1.98251 | + | 1.21488i | ||||
\(247\) | −0.614592 | − | 7.80913i | −0.0391055 | − | 0.496883i | ||||
\(248\) | −15.7994 | + | 4.45588i | −1.00326 | + | 0.282949i | ||||
\(249\) | −18.8267 | + | 8.67922i | −1.19309 | + | 0.550023i | ||||
\(250\) | −15.7663 | + | 5.81651i | −0.997151 | + | 0.367868i | ||||
\(251\) | 18.9412 | + | 9.65103i | 1.19556 | + | 0.609168i | 0.934434 | − | 0.356137i | \(-0.115906\pi\) |
0.261125 | + | 0.965305i | \(0.415906\pi\) | |||||||
\(252\) | −0.211211 | + | 0.0420125i | −0.0133051 | + | 0.00264654i | ||||
\(253\) | 11.6259 | − | 23.5276i | 0.730914 | − | 1.47916i | ||||
\(254\) | − | 12.2876i | − | 0.770991i | ||||||
\(255\) | 0.0870068 | − | 8.35369i | 0.00544857 | − | 0.523128i | ||||
\(256\) | 13.6828 | + | 9.94113i | 0.855175 | + | 0.621321i | ||||
\(257\) | 8.36005 | − | 2.00707i | 0.521485 | − | 0.125198i | 0.0358468 | − | 0.999357i | \(-0.488587\pi\) |
0.485638 | + | 0.874160i | \(0.338587\pi\) | |||||||
\(258\) | 1.19906 | − | 10.1308i | 0.0746501 | − | 0.630715i | ||||
\(259\) | 0.875185 | + | 1.71765i | 0.0543814 | + | 0.106729i | ||||
\(260\) | 4.85445 | − | 0.190732i | 0.301060 | − | 0.0118287i | ||||
\(261\) | 0.440428 | − | 0.407127i | 0.0272618 | − | 0.0252005i | ||||
\(262\) | −5.91724 | + | 7.50599i | −0.365568 | + | 0.463721i | ||||
\(263\) | −25.8597 | + | 10.7115i | −1.59458 | + | 0.660497i | −0.990636 | − | 0.136530i | \(-0.956405\pi\) |
−0.603944 | + | 0.797027i | \(0.706405\pi\) | |||||||
\(264\) | −9.22151 | + | 6.87455i | −0.567544 | + | 0.423099i | ||||
\(265\) | −7.32760 | + | 4.89614i | −0.450131 | + | 0.300768i | ||||
\(266\) | −0.886974 | − | 7.49400i | −0.0543839 | − | 0.459487i | ||||
\(267\) | 7.36780 | + | 19.9713i | 0.450902 | + | 1.22222i | ||||
\(268\) | −0.127025 | + | 0.802003i | −0.00775927 | + | 0.0489901i | ||||
\(269\) | −13.0495 | − | 1.54451i | −0.795640 | − | 0.0941702i | −0.290126 | − | 0.956989i | \(-0.593697\pi\) |
−0.505514 | + | 0.862818i | \(0.668697\pi\) | |||||||
\(270\) | 6.43947 | − | 7.53965i | 0.391894 | − | 0.458848i | ||||
\(271\) | −4.88678 | + | 3.55045i | −0.296851 | + | 0.215675i | −0.726234 | − | 0.687448i | \(-0.758731\pi\) |
0.429383 | + | 0.903122i | \(0.358731\pi\) | |||||||
\(272\) | −17.3591 | − | 10.8880i | −1.05255 | − | 0.660182i | ||||
\(273\) | −8.09476 | − | 24.9131i | −0.489917 | − | 1.50781i | ||||
\(274\) | 2.82072 | − | 6.80982i | 0.170406 | − | 0.411396i | ||||
\(275\) | −10.6954 | − | 5.81818i | −0.644954 | − | 0.350849i | ||||
\(276\) | −8.12616 | − | 8.12616i | −0.489137 | − | 0.489137i | ||||
\(277\) | −6.86278 | + | 24.3336i | −0.412344 | + | 1.46206i | 0.419858 | + | 0.907590i | \(0.362080\pi\) |
−0.832202 | + | 0.554473i | \(0.812920\pi\) | |||||||
\(278\) | −12.3236 | − | 13.3316i | −0.739122 | − | 0.799577i | ||||
\(279\) | −0.696051 | − | 0.256787i | −0.0416715 | − | 0.0153734i | ||||
\(280\) | −6.62690 | + | 0.521548i | −0.396033 | + | 0.0311685i | ||||
\(281\) | −19.2297 | + | 1.51341i | −1.14715 | + | 0.0902825i | −0.637746 | − | 0.770247i | \(-0.720133\pi\) |
−0.509401 | + | 0.860529i | \(0.670133\pi\) | |||||||
\(282\) | 8.89616 | + | 3.28197i | 0.529758 | + | 0.195438i | ||||
\(283\) | 12.3114 | + | 13.3184i | 0.731839 | + | 0.791699i | 0.984412 | − | 0.175879i | \(-0.0562766\pi\) |
−0.252572 | + | 0.967578i | \(0.581277\pi\) | |||||||
\(284\) | −0.223215 | + | 0.791459i | −0.0132454 | + | 0.0469645i | ||||
\(285\) | −2.20062 | − | 2.20062i | −0.130354 | − | 0.130354i | ||||
\(286\) | 19.5576 | + | 20.6424i | 1.15646 | + | 1.22061i | ||||
\(287\) | −13.8027 | + | 33.3226i | −0.814747 | + | 1.96697i | ||||
\(288\) | 0.121495 | + | 0.373923i | 0.00715916 | + | 0.0220336i | ||||
\(289\) | 14.9831 | + | 8.03166i | 0.881357 | + | 0.472450i | ||||
\(290\) | −10.5455 | + | 7.66177i | −0.619254 | + | 0.449915i | ||||
\(291\) | −11.5947 | + | 13.5756i | −0.679692 | + | 0.795818i | ||||
\(292\) | −1.55564 | − | 0.184122i | −0.0910367 | − | 0.0107749i | ||||
\(293\) | 0.895133 | − | 5.65165i | 0.0522942 | − | 0.330173i | −0.947647 | − | 0.319320i | \(-0.896545\pi\) |
0.999941 | − | 0.0108525i | \(-0.00345453\pi\) | |||||||
\(294\) | −1.57543 | − | 4.27038i | −0.0918807 | − | 0.249053i | ||||
\(295\) | −1.01172 | − | 8.54794i | −0.0589043 | − | 0.497680i | ||||
\(296\) | 1.08222 | − | 0.723115i | 0.0629026 | − | 0.0420302i | ||||
\(297\) | 16.9668 | − | 0.208540i | 0.984516 | − | 0.0121007i | ||||
\(298\) | 15.0704 | − | 6.24238i | 0.873007 | − | 0.361612i | ||||
\(299\) | 24.9826 | − | 31.6903i | 1.44478 | − | 1.83270i | ||||
\(300\) | −3.91521 | + | 3.61918i | −0.226045 | + | 0.208954i | ||||
\(301\) | 10.0817 | − | 0.396113i | 0.581102 | − | 0.0228316i | ||||
\(302\) | 4.28813 | + | 8.41593i | 0.246754 | + | 0.484282i | ||||
\(303\) | 0.659308 | − | 5.57047i | 0.0378763 | − | 0.320015i | ||||
\(304\) | −7.42261 | + | 1.78201i | −0.425716 | + | 0.102205i | ||||
\(305\) | 0.00353315 | + | 0.00256698i | 0.000202307 | + | 0.000146985i | ||||
\(306\) | −0.230589 | − | 0.573513i | −0.0131819 | − | 0.0327856i | ||||
\(307\) | − | 11.6058i | − | 0.662380i | −0.943564 | − | 0.331190i | \(-0.892550\pi\) | ||
0.943564 | − | 0.331190i | \(-0.107450\pi\) | |||||||
\(308\) | 5.73260 | + | 5.59339i | 0.326645 | + | 0.318713i | ||||
\(309\) | 24.6794 | − | 4.90904i | 1.40396 | − | 0.279265i | ||||
\(310\) | 14.3666 | + | 7.32014i | 0.815967 | + | 0.415756i | ||||
\(311\) | 13.3759 | − | 4.93462i | 0.758476 | − | 0.279817i | 0.0626582 | − | 0.998035i | \(-0.480042\pi\) |
0.695818 | + | 0.718219i | \(0.255042\pi\) | |||||||
\(312\) | −16.0617 | + | 7.40454i | −0.909314 | + | 0.419200i | ||||
\(313\) | −26.1578 | + | 7.37726i | −1.47853 | + | 0.416987i | −0.913074 | − | 0.407794i | \(-0.866298\pi\) |
−0.565451 | + | 0.824782i | \(0.691298\pi\) | |||||||
\(314\) | −1.04585 | − | 13.2888i | −0.0590210 | − | 0.749932i | ||||
\(315\) | −0.256158 | − | 0.156974i | −0.0144328 | − | 0.00884446i | ||||
\(316\) | −0.0207894 | + | 0.529126i | −0.00116950 | + | 0.0297657i | ||||
\(317\) | 2.57450 | − | 0.304712i | 0.144598 | − | 0.0171143i | −0.0449263 | − | 0.998990i | \(-0.514305\pi\) |
0.189525 | + | 0.981876i | \(0.439305\pi\) | |||||||
\(318\) | −12.5496 | + | 18.7819i | −0.703749 | + | 1.05323i | ||||
\(319\) | −21.7529 | − | 4.94046i | −1.21793 | − | 0.276613i | ||||
\(320\) | 0.568451 | + | 2.85780i | 0.0317774 | + | 0.159756i | ||||
\(321\) | −1.46252 | + | 18.5831i | −0.0816300 | + | 1.03721i | ||||
\(322\) | 22.8503 | − | 31.4507i | 1.27340 | − | 1.75268i | ||||
\(323\) | 6.04307 | − | 1.89416i | 0.336245 | − | 0.105394i | ||||
\(324\) | 2.36446 | − | 7.27705i | 0.131359 | − | 0.404280i | ||||
\(325\) | −14.2362 | − | 12.1589i | −0.789684 | − | 0.674454i | ||||
\(326\) | 8.89039 | + | 8.21819i | 0.492393 | + | 0.455164i | ||||
\(327\) | −17.7867 | + | 2.81713i | −0.983606 | + | 0.155788i | ||||
\(328\) | 23.4379 | + | 6.61019i | 1.29414 | + | 0.364986i | ||||
\(329\) | −1.82959 | + | 9.19796i | −0.100868 | + | 0.507100i | ||||
\(330\) | 11.2348 | + | 1.18990i | 0.618453 | + | 0.0655020i | ||||
\(331\) | 0.382225 | + | 0.922773i | 0.0210090 | + | 0.0507202i | 0.934036 | − | 0.357179i | \(-0.116261\pi\) |
−0.913027 | + | 0.407899i | \(0.866261\pi\) | |||||||
\(332\) | 7.41142 | − | 6.32995i | 0.406755 | − | 0.347401i | ||||
\(333\) | 0.0587792 | + | 0.00230944i | 0.00322108 | + | 0.000126557i | ||||
\(334\) | −13.8265 | − | 29.9919i | −0.756551 | − | 1.64109i | ||||
\(335\) | −0.889609 | + | 0.701311i | −0.0486045 | + | 0.0383167i | ||||
\(336\) | −22.7449 | + | 11.5891i | −1.24084 | + | 0.632238i | ||||
\(337\) | −2.61994 | + | 2.83423i | −0.142717 | + | 0.154391i | −0.801612 | − | 0.597844i | \(-0.796024\pi\) |
0.658895 | + | 0.752235i | \(0.271024\pi\) | |||||||
\(338\) | 11.4271 | + | 18.6473i | 0.621552 | + | 1.01428i | ||||
\(339\) | 26.1844 | − | 8.50782i | 1.42214 | − | 0.462081i | ||||
\(340\) | 1.02671 | + | 3.79114i | 0.0556811 | + | 0.205603i | ||||
\(341\) | 6.77075 | + | 26.7495i | 0.366657 | + | 1.44857i | ||||
\(342\) | −0.212743 | − | 0.0881211i | −0.0115038 | − | 0.00476504i | ||||
\(343\) | −13.9207 | + | 7.79598i | −0.751649 | + | 0.420943i | ||||
\(344\) | −1.06566 | − | 6.72831i | −0.0574565 | − | 0.362766i | ||||
\(345\) | −0.629429 | − | 16.0200i | −0.0338873 | − | 0.862490i | ||||
\(346\) | 8.38684 | − | 14.9758i | 0.450879 | − | 0.805103i | ||||
\(347\) | 1.91293 | + | 6.78272i | 0.102691 | + | 0.364116i | 0.996425 | − | 0.0844821i | \(-0.0269236\pi\) |
−0.893734 | + | 0.448598i | \(0.851924\pi\) | |||||||
\(348\) | −5.10395 | + | 8.32889i | −0.273600 | + | 0.446475i | ||||
\(349\) | −2.86346 | + | 11.9272i | −0.153277 | + | 0.638447i | 0.841838 | + | 0.539730i | \(0.181474\pi\) |
−0.995116 | + | 0.0987165i | \(0.968526\pi\) | |||||||
\(350\) | −14.1640 | − | 11.1660i | −0.757097 | − | 0.596848i | ||||
\(351\) | 25.5901 | + | 5.09019i | 1.36590 | + | 0.271694i | ||||
\(352\) | 8.91099 | − | 11.5938i | 0.474958 | − | 0.617953i | ||||
\(353\) | 13.6240 | − | 13.6240i | 0.725134 | − | 0.725134i | −0.244512 | − | 0.969646i | \(-0.578628\pi\) |
0.969646 | + | 0.244512i | \(0.0786278\pi\) | |||||||
\(354\) | −10.7803 | − | 19.2497i | −0.572968 | − | 1.02311i | ||||
\(355\) | −0.978165 | + | 0.599420i | −0.0519156 | + | 0.0318139i | ||||
\(356\) | −5.88261 | − | 8.09672i | −0.311778 | − | 0.429125i | ||||
\(357\) | 18.1715 | − | 10.8768i | 0.961738 | − | 0.575663i | ||||
\(358\) | 10.7744 | + | 3.50080i | 0.569442 | + | 0.185023i | ||||
\(359\) | −6.77529 | − | 28.2211i | −0.357586 | − | 1.48945i | −0.804002 | − | 0.594627i | \(-0.797300\pi\) |
0.446415 | − | 0.894826i | \(-0.352700\pi\) | |||||||
\(360\) | −0.0849215 | + | 0.184209i | −0.00447576 | + | 0.00970867i | ||||
\(361\) | −7.55476 | + | 14.8271i | −0.397619 | + | 0.780371i | ||||
\(362\) | −20.0855 | − | 13.4207i | −1.05567 | − | 0.705376i | ||||
\(363\) | 11.1331 | + | 15.8065i | 0.584334 | + | 0.829626i | ||||
\(364\) | 6.84222 | + | 10.2401i | 0.358630 | + | 0.536728i | ||||
\(365\) | −1.41929 | − | 1.66178i | −0.0742891 | − | 0.0869813i | ||||
\(366\) | 0.0108846 | + | 0.00261316i | 0.000568947 | + | 0.000136592i | ||||
\(367\) | −1.81447 | + | 4.91833i | −0.0947145 | + | 0.256735i | −0.976725 | − | 0.214495i | \(-0.931190\pi\) |
0.882011 | + | 0.471229i | \(0.156190\pi\) | |||||||
\(368\) | −34.3105 | − | 19.2148i | −1.78856 | − | 1.00164i | ||||
\(369\) | 0.681375 | + | 0.864320i | 0.0354710 | + | 0.0449947i | ||||
\(370\) | −1.26270 | − | 0.199993i | −0.0656448 | − | 0.0103971i | ||||
\(371\) | −20.2886 | − | 9.35320i | −1.05333 | − | 0.485594i | ||||
\(372\) | 12.0460 | + | 0.948040i | 0.624556 | + | 0.0491536i | ||||
\(373\) | −3.20089 | −0.165736 | −0.0828678 | − | 0.996561i | \(-0.526408\pi\) | ||||
−0.0828678 | + | 0.996561i | \(0.526408\pi\) | |||||||
\(374\) | −12.7365 | + | 19.1391i | −0.658589 | + | 0.989661i | ||||
\(375\) | −17.5691 | −0.907262 | ||||||||
\(376\) | 6.31236 | + | 0.496794i | 0.325535 | + | 0.0256202i | ||||
\(377\) | −31.1499 | − | 14.3603i | −1.60430 | − | 0.739594i | ||||
\(378\) | 24.8261 | + | 3.93207i | 1.27692 | + | 0.202244i | ||||
\(379\) | −1.90885 | − | 2.42137i | −0.0980512 | − | 0.124377i | 0.733825 | − | 0.679338i | \(-0.237733\pi\) |
−0.831876 | + | 0.554961i | \(0.812733\pi\) | |||||||
\(380\) | 1.27662 | + | 0.714939i | 0.0654890 | + | 0.0366756i | ||||
\(381\) | 4.44629 | − | 12.0522i | 0.227791 | − | 0.617453i | ||||
\(382\) | −4.10616 | − | 0.985802i | −0.210090 | − | 0.0504380i | ||||
\(383\) | 4.79453 | + | 5.61368i | 0.244989 | + | 0.286845i | 0.869252 | − | 0.494369i | \(-0.164601\pi\) |
−0.624263 | + | 0.781214i | \(0.714601\pi\) | |||||||
\(384\) | 12.7596 | + | 19.0962i | 0.651138 | + | 0.974496i | ||||
\(385\) | 0.575858 | + | 11.1587i | 0.0293485 | + | 0.568702i | ||||
\(386\) | 7.84589 | + | 5.24245i | 0.399345 | + | 0.266834i | ||||
\(387\) | 0.139773 | − | 0.274320i | 0.00710506 | − | 0.0139445i | ||||
\(388\) | 3.51408 | − | 7.62264i | 0.178401 | − | 0.386981i | ||||
\(389\) | −1.61360 | − | 6.72113i | −0.0818128 | − | 0.340775i | 0.916419 | − | 0.400221i | \(-0.131067\pi\) |
−0.998232 | + | 0.0594461i | \(0.981067\pi\) | |||||||
\(390\) | 16.5218 | + | 5.36825i | 0.836612 | + | 0.271832i | ||||
\(391\) | 29.4840 | + | 13.9664i | 1.49107 | + | 0.706313i | ||||
\(392\) | −1.78655 | − | 2.45897i | −0.0902344 | − | 0.124197i | ||||
\(393\) | −8.51996 | + | 5.22104i | −0.429775 | + | 0.263367i | ||||
\(394\) | −11.1961 | − | 19.9920i | −0.564050 | − | 1.00718i | ||||
\(395\) | −0.522369 | + | 0.522369i | −0.0262832 | + | 0.0262832i | ||||
\(396\) | 0.234390 | − | 0.0692257i | 0.0117785 | − | 0.00347872i | ||||
\(397\) | −15.4900 | − | 3.08116i | −0.777422 | − | 0.154639i | −0.209596 | − | 0.977788i | \(-0.567215\pi\) |
−0.567825 | + | 0.823149i | \(0.692215\pi\) | |||||||
\(398\) | 16.1967 | + | 12.7685i | 0.811868 | + | 0.640025i | ||||
\(399\) | 1.84174 | − | 7.67141i | 0.0922025 | − | 0.384051i | ||||
\(400\) | −9.53272 | + | 15.5560i | −0.476636 | + | 0.777799i | ||||
\(401\) | 2.87554 | + | 10.1959i | 0.143598 | + | 0.509159i | 0.999974 | − | 0.00719298i | \(-0.00228962\pi\) |
−0.856376 | + | 0.516352i | \(0.827290\pi\) | |||||||
\(402\) | −1.41874 | + | 2.53335i | −0.0707605 | + | 0.126352i | ||||
\(403\) | 1.66576 | + | 42.3965i | 0.0829775 | + | 2.11192i | ||||
\(404\) | 0.412555 | + | 2.60477i | 0.0205254 | + | 0.129592i | ||||
\(405\) | 9.31345 | − | 5.21578i | 0.462789 | − | 0.259174i | ||||
\(406\) | −30.5288 | − | 12.6454i | −1.51512 | − | 0.627582i | ||||
\(407\) | −1.16597 | − | 1.85122i | −0.0577949 | − | 0.0917618i | ||||
\(408\) | −8.73490 | − | 11.3207i | −0.432442 | − | 0.560458i | ||||
\(409\) | −16.6382 | + | 5.40607i | −0.822704 | + | 0.267313i | −0.689969 | − | 0.723839i | \(-0.742376\pi\) |
−0.132735 | + | 0.991152i | \(0.542376\pi\) | |||||||
\(410\) | −12.4979 | − | 20.3947i | −0.617228 | − | 1.00722i | ||||
\(411\) | 5.23085 | − | 5.65870i | 0.258019 | − | 0.279123i | ||||
\(412\) | −10.5409 | + | 5.37086i | −0.519313 | + | 0.264603i | ||||
\(413\) | 17.1361 | − | 13.5090i | 0.843210 | − | 0.664733i | ||||
\(414\) | −0.496638 | − | 1.07729i | −0.0244084 | − | 0.0529459i | ||||
\(415\) | 13.5869 | + | 0.533829i | 0.666953 | + | 0.0262047i | ||||
\(416\) | 17.0977 | − | 14.6028i | 0.838282 | − | 0.715960i | ||||
\(417\) | −7.26348 | − | 17.5356i | −0.355694 | − | 0.858722i | ||||
\(418\) | 1.77392 | + | 8.37856i | 0.0867651 | + | 0.409809i | ||||
\(419\) | −6.33902 | + | 31.8684i | −0.309681 | + | 1.55687i | 0.441797 | + | 0.897115i | \(0.354341\pi\) |
−0.751479 | + | 0.659758i | \(0.770659\pi\) | |||||||
\(420\) | 4.70929 | + | 1.32816i | 0.229790 | + | 0.0648075i | ||||
\(421\) | −29.9043 | + | 4.73638i | −1.45745 | + | 0.230837i | −0.834318 | − | 0.551283i | \(-0.814138\pi\) |
−0.623128 | + | 0.782120i | \(0.714138\pi\) | |||||||
\(422\) | −1.28168 | − | 1.18477i | −0.0623912 | − | 0.0576738i | ||||
\(423\) | 0.217605 | + | 0.185852i | 0.0105803 | + | 0.00903644i | ||||
\(424\) | −4.66119 | + | 14.3457i | −0.226367 | + | 0.696687i | ||||
\(425\) | 7.01172 | − | 13.4140i | 0.340118 | − | 0.650677i | ||||
\(426\) | −1.72839 | + | 2.37893i | −0.0837409 | + | 0.115259i | ||||
\(427\) | −0.000868622 | 0.0110369i | −4.20356e−5 | 0.000534113i | ||||||
\(428\) | −1.70975 | − | 8.59547i | −0.0826437 | − | 0.415478i | ||||
\(429\) | 11.7134 | + | 27.3240i | 0.565530 | + | 1.31921i | ||||
\(430\) | −3.71739 | + | 5.56346i | −0.179268 | + | 0.268294i | ||||
\(431\) | 1.39622 | − | 0.165254i | 0.0672536 | − | 0.00795998i | −0.0838432 | − | 0.996479i | \(-0.526719\pi\) |
0.151097 | + | 0.988519i | \(0.451719\pi\) | |||||||
\(432\) | 0.998224 | − | 25.4065i | 0.0480271 | − | 1.22237i | ||||
\(433\) | −23.4835 | − | 14.3907i | −1.12854 | − | 0.691573i | −0.172563 | − | 0.984999i | \(-0.555205\pi\) |
−0.955982 | + | 0.293425i | \(0.905205\pi\) | |||||||
\(434\) | 3.20700 | + | 40.7488i | 0.153941 | + | 1.95601i | ||||
\(435\) | −13.1160 | + | 3.69908i | −0.628862 | + | 0.177357i | ||||
\(436\) | 7.68893 | − | 3.54465i | 0.368233 | − | 0.169758i | ||||
\(437\) | 11.4024 | − | 4.20656i | 0.545449 | − | 0.201227i | ||||
\(438\) | −4.99097 | − | 2.54303i | −0.238478 | − | 0.121511i | ||||
\(439\) | 13.0366 | − | 2.59315i | 0.622205 | − | 0.123764i | 0.126087 | − | 0.992019i | \(-0.459758\pi\) |
0.496118 | + | 0.868255i | \(0.334758\pi\) | |||||||
\(440\) | 7.43615 | − | 1.27164i | 0.354505 | − | 0.0606233i | ||||
\(441\) | − | 0.137368i | − | 0.00654135i | ||||||
\(442\) | −25.2556 | + | 24.7350i | −1.20129 | + | 1.17652i | ||||
\(443\) | −14.1911 | − | 10.3104i | −0.674240 | − | 0.489864i | 0.197202 | − | 0.980363i | \(-0.436815\pi\) |
−0.871442 | + | 0.490499i | \(0.836815\pi\) | |||||||
\(444\) | −0.931588 | + | 0.223655i | −0.0442112 | + | 0.0106142i | ||||
\(445\) | 1.64107 | − | 13.8653i | 0.0777940 | − | 0.657278i | ||||
\(446\) | 8.95400 | + | 17.5732i | 0.423984 | + | 0.832116i | ||||
\(447\) | 17.0406 | − | 0.669527i | 0.805993 | − | 0.0316676i | ||||
\(448\) | −5.42411 | + | 5.01399i | −0.256265 | + | 0.236889i | ||||
\(449\) | −13.0730 | + | 16.5830i | −0.616951 | + | 0.782598i | −0.989363 | − | 0.145469i | \(-0.953531\pi\) |
0.372412 | + | 0.928067i | \(0.378531\pi\) | |||||||
\(450\) | −0.508466 | + | 0.210613i | −0.0239693 | + | 0.00992841i | ||||
\(451\) | 12.1698 | − | 39.0827i | 0.573052 | − | 1.84033i | ||||
\(452\) | −10.7626 | + | 7.19137i | −0.506232 | + | 0.338254i | ||||
\(453\) | 1.16066 | + | 9.80640i | 0.0545328 | + | 0.460745i | ||||
\(454\) | 4.78439 | + | 12.9687i | 0.224543 | + | 0.608649i | ||||
\(455\) | −2.68775 | + | 16.9698i | −0.126004 | + | 0.795556i | ||||
\(456\) | −5.28979 | − | 0.626088i | −0.247717 | − | 0.0293192i | ||||
\(457\) | −12.6600 | + | 14.8229i | −0.592209 | + | 0.693388i | −0.972877 | − | 0.231324i | \(-0.925694\pi\) |
0.380667 | + | 0.924712i | \(0.375694\pi\) | |||||||
\(458\) | −36.7958 | + | 26.7337i | −1.71936 | + | 1.24919i | ||||
\(459\) | 0.608585 | + | 21.0854i | 0.0284063 | + | 0.984180i | ||||
\(460\) | 2.32926 | + | 7.16871i | 0.108602 | + | 0.334243i | ||||
\(461\) | 3.75798 | − | 9.07257i | 0.175027 | − | 0.422552i | −0.811884 | − | 0.583819i | \(-0.801558\pi\) |
0.986911 | + | 0.161267i | \(0.0515579\pi\) | |||||||
\(462\) | 12.3091 | + | 25.8597i | 0.572670 | + | 1.20310i | ||||
\(463\) | 6.52401 | + | 6.52401i | 0.303197 | + | 0.303197i | 0.842263 | − | 0.539067i | \(-0.181223\pi\) |
−0.539067 | + | 0.842263i | \(0.681223\pi\) | |||||||
\(464\) | −9.07317 | + | 32.1710i | −0.421212 | + | 1.49350i | ||||
\(465\) | 11.4426 | + | 12.3785i | 0.530637 | + | 0.574040i | ||||
\(466\) | −34.9400 | − | 12.8901i | −1.61857 | − | 0.597121i | ||||
\(467\) | 1.14504 | − | 0.0901170i | 0.0529864 | − | 0.00417012i | −0.0519382 | − | 0.998650i | \(-0.516540\pi\) |
0.104925 | + | 0.994480i | \(0.466540\pi\) | |||||||
\(468\) | 0.374648 | − | 0.0294854i | 0.0173181 | − | 0.00136296i | ||||
\(469\) | −2.69420 | − | 0.993942i | −0.124406 | − | 0.0458960i | ||||
\(470\) | −4.22171 | − | 4.56702i | −0.194733 | − | 0.210661i | ||||
\(471\) | 3.78278 | − | 13.4127i | 0.174302 | − | 0.618027i | ||||
\(472\) | −10.4176 | − | 10.4176i | −0.479507 | − | 0.479507i | ||||
\(473\) | −11.3538 | + | 1.48552i | −0.522048 | + | 0.0683044i | ||||
\(474\) | −0.724618 | + | 1.74938i | −0.0332828 | + | 0.0803518i | ||||
\(475\) | −1.74243 | − | 5.36263i | −0.0799480 | − | 0.246055i | ||||
\(476\) | −6.83450 | + | 7.24075i | −0.313259 | + | 0.331879i | ||||
\(477\) | −0.551521 | + | 0.400704i | −0.0252524 | + | 0.0183470i | ||||
\(478\) | −16.9555 | + | 19.8524i | −0.775527 | + | 0.908026i | ||||
\(479\) | 35.6258 | + | 4.21659i | 1.62778 | + | 0.192661i | 0.881238 | − | 0.472673i | \(-0.156711\pi\) |
0.746546 | + | 0.665334i | \(0.231711\pi\) | |||||||
\(480\) | 1.39746 | − | 8.82324i | 0.0637852 | − | 0.402724i | ||||
\(481\) | −1.16439 | − | 3.15621i | −0.0530914 | − | 0.143911i | ||||
\(482\) | −3.17907 | − | 26.8598i | −0.144803 | − | 1.22343i | ||||
\(483\) | 33.7931 | − | 22.5798i | 1.53764 | − | 1.02742i | ||||
\(484\) | −7.05488 | − | 5.73164i | −0.320677 | − | 0.260529i | ||||
\(485\) | 10.8184 | − | 4.48115i | 0.491240 | − | 0.203478i | ||||
\(486\) | 0.964236 | − | 1.22313i | 0.0437386 | − | 0.0554822i | ||||
\(487\) | 1.24126 | − | 1.14741i | 0.0562468 | − | 0.0519940i | −0.650179 | − | 0.759781i | \(-0.725306\pi\) |
0.706426 | + | 0.707787i | \(0.250306\pi\) | |||||||
\(488\) | 0.00746909 | 0.000293461i | 0.000338110 | 1.32844e-5i | ||||||
\(489\) | 5.74632 | + | 11.2778i | 0.259858 | + | 0.509999i | ||||
\(490\) | −0.350902 | + | 2.96475i | −0.0158521 | + | 0.133934i | ||||
\(491\) | −19.7606 | + | 4.74410i | −0.891784 | + | 0.214098i | −0.653346 | − | 0.757060i | \(-0.726635\pi\) |
−0.238438 | + | 0.971158i | \(0.576635\pi\) | |||||||
\(492\) | −14.5018 | − | 10.5361i | −0.653790 | − | 0.475006i | ||||
\(493\) | 5.69303 | − | 27.1404i | 0.256401 | − | 1.22234i | ||||
\(494\) | 13.1691i | 0.592505i | ||||||||
\(495\) | 0.305673 | + | 0.151045i | 0.0137390 | + | 0.00678898i | ||||
\(496\) | 40.5528 | − | 8.06645i | 1.82087 | − | 0.362194i | ||||
\(497\) | −2.59126 | − | 1.32031i | −0.116234 | − | 0.0592241i | ||||
\(498\) | 32.6981 | − | 12.0630i | 1.46524 | − | 0.540555i | ||||
\(499\) | −28.0915 | + | 12.9503i | −1.25755 | + | 0.579737i | −0.930853 | − | 0.365394i | \(-0.880934\pi\) |
−0.326693 | + | 0.945130i | \(0.605934\pi\) | |||||||
\(500\) | 7.94997 | − | 2.24212i | 0.355534 | − | 0.100271i | ||||
\(501\) | −2.70896 | − | 34.4206i | −0.121027 | − | 1.53780i | ||||
\(502\) | −30.4723 | − | 18.6734i | −1.36004 | − | 0.833436i | ||||
\(503\) | −0.381229 | + | 9.70292i | −0.0169981 | + | 0.432632i | 0.967035 | + | 0.254645i | \(0.0819585\pi\) |
−0.984033 | + | 0.177987i | \(0.943042\pi\) | |||||||
\(504\) | −0.510645 | + | 0.0604389i | −0.0227460 | + | 0.00269216i | ||||
\(505\) | −2.04403 | + | 3.05910i | −0.0909579 | + | 0.136128i | ||||
\(506\) | −22.5882 | + | 37.8984i | −1.00417 | + | 1.68479i | ||||
\(507\) | 4.46063 | + | 22.4251i | 0.198103 | + | 0.995933i | ||||
\(508\) | −0.473866 | + | 6.02103i | −0.0210244 | + | 0.267140i | ||||
\(509\) | 0.544206 | − | 0.749035i | 0.0241215 | − | 0.0332004i | −0.796786 | − | 0.604262i | \(-0.793468\pi\) |
0.820907 | + | 0.571061i | \(0.193468\pi\) | |||||||
\(510\) | −1.24770 | + | 13.9892i | −0.0552491 | + | 0.619453i | ||||
\(511\) | 1.71196 | − | 5.26886i | 0.0757325 | − | 0.233081i | ||||
\(512\) | −1.74840 | − | 1.49327i | −0.0772690 | − | 0.0659939i | ||||
\(513\) | 5.77041 | + | 5.33412i | 0.254770 | + | 0.235507i | ||||
\(514\) | −14.2761 | + | 2.26111i | −0.629691 | + | 0.0997333i | ||||
\(515\) | −15.8846 | − | 4.47992i | −0.699959 | − | 0.197409i | ||||
\(516\) | −0.978240 | + | 4.91795i | −0.0430646 | + | 0.216501i | ||||
\(517\) | 1.12098 | − | 10.5840i | 0.0493008 | − | 0.465486i | ||||
\(518\) | −1.24024 | − | 2.99420i | −0.0544929 | − | 0.131558i | ||||
\(519\) | 13.6452 | − | 11.6541i | 0.598959 | − | 0.511559i | ||||
\(520\) | 11.5914 | + | 0.455428i | 0.508318 | + | 0.0199719i | ||||
\(521\) | −0.109290 | − | 0.237068i | −0.00478808 | − | 0.0103862i | 0.905734 | − | 0.423846i | \(-0.139320\pi\) |
−0.910522 | + | 0.413460i | \(0.864320\pi\) | |||||||
\(522\) | −0.791853 | + | 0.624247i | −0.0346585 | + | 0.0273225i | ||||
\(523\) | 13.7660 | − | 7.01411i | 0.601943 | − | 0.306706i | −0.126334 | − | 0.991988i | \(-0.540321\pi\) |
0.728278 | + | 0.685282i | \(0.240321\pi\) | |||||||
\(524\) | 3.18897 | − | 3.44981i | 0.139311 | − | 0.150706i | ||||
\(525\) | −9.85224 | − | 16.0774i | −0.429987 | − | 0.701675i | ||||
\(526\) | 44.7535 | − | 14.5413i | 1.95135 | − | 0.634031i | ||||
\(527\) | −33.1100 | + | 8.96680i | −1.44230 | + | 0.390600i | ||||
\(528\) | 24.5137 | − | 15.4396i | 1.06682 | − | 0.671924i | ||||
\(529\) | 36.5946 | + | 15.1580i | 1.59107 | + | 0.659043i | ||||
\(530\) | 12.9268 | − | 7.23935i | 0.561504 | − | 0.314457i | ||||
\(531\) | −0.104161 | − | 0.657645i | −0.00452019 | − | 0.0285394i | ||||
\(532\) | 0.145623 | + | 3.70634i | 0.00631354 | + | 0.160690i | ||||
\(533\) | 30.7551 | − | 54.9172i | 1.33215 | − | 2.37873i | ||||
\(534\) | −9.71408 | − | 34.4435i | −0.420369 | − | 1.49052i | ||||
\(535\) | 6.38821 | − | 10.4246i | 0.276186 | − | 0.450695i | ||||
\(536\) | −0.452625 | + | 1.88532i | −0.0195504 | + | 0.0814333i | ||||
\(537\) | 9.30120 | + | 7.33247i | 0.401376 | + | 0.316420i | ||||
\(538\) | 21.6670 | + | 4.30984i | 0.934132 | + | 0.185810i | ||||
\(539\) | −4.21279 | + | 2.89041i | −0.181458 | + | 0.124499i | ||||
\(540\) | −3.44617 | + | 3.44617i | −0.148299 | + | 0.148299i | ||||
\(541\) | −8.12509 | − | 14.5084i | −0.349325 | − | 0.623764i | 0.640187 | − | 0.768220i | \(-0.278857\pi\) |
−0.989511 | + | 0.144455i | \(0.953857\pi\) | |||||||
\(542\) | 8.65851 | − | 5.30594i | 0.371915 | − | 0.227910i | ||||
\(543\) | −14.8444 | − | 20.4316i | −0.637036 | − | 0.876805i | ||||
\(544\) | 14.5945 | + | 10.8376i | 0.625735 | + | 0.464657i | ||||
\(545\) | 11.2335 | + | 3.64999i | 0.481192 | + | 0.156349i | ||||
\(546\) | 10.2806 | + | 42.8218i | 0.439970 | + | 1.83261i | ||||
\(547\) | 18.1344 | − | 39.3365i | 0.775370 | − | 1.68191i | 0.0448720 | − | 0.998993i | \(-0.485712\pi\) |
0.730498 | − | 0.682915i | \(-0.239288\pi\) | |||||||
\(548\) | −1.64480 | + | 3.22810i | −0.0702624 | + | 0.137898i | ||||
\(549\) | 0.000280892 | 0 | 0.000187686i | 1.19882e−5 | 0 | 8.01025e-6i | ||||
\(550\) | 17.1579 | + | 11.1620i | 0.731614 | + | 0.475947i | ||||
\(551\) | −5.73937 | − | 8.58957i | −0.244505 | − | 0.365928i | ||||
\(552\) | −17.8214 | − | 20.8662i | −0.758529 | − | 0.888123i | ||||
\(553\) | −1.82099 | − | 0.437181i | −0.0774363 | − | 0.0185908i | ||||
\(554\) | 14.7116 | − | 39.8776i | 0.625037 | − | 1.69424i | ||||
\(555\) | −1.16615 | − | 0.653075i | −0.0495003 | − | 0.0277215i | ||||
\(556\) | 5.52457 | + | 7.00788i | 0.234294 | + | 0.297200i | ||||
\(557\) | 32.6902 | + | 5.17762i | 1.38513 | + | 0.219383i | 0.804097 | − | 0.594498i | \(-0.202649\pi\) |
0.581032 | + | 0.813881i | \(0.302649\pi\) | |||||||
\(558\) | 1.13270 | + | 0.522183i | 0.0479511 | + | 0.0221058i | ||||
\(559\) | −17.5530 | − | 1.38145i | −0.742411 | − | 0.0584290i | ||||
\(560\) | 16.7432 | 0.707529 | ||||||||
\(561\) | −19.4181 | + | 14.1638i | −0.819833 | + | 0.597996i | ||||
\(562\) | 32.4284 | 1.36791 | ||||||||
\(563\) | 11.4980 | + | 0.904909i | 0.484581 | + | 0.0381374i | 0.318397 | − | 0.947957i | \(-0.396855\pi\) |
0.166184 | + | 0.986095i | \(0.446855\pi\) | |||||||
\(564\) | −4.23264 | − | 1.95127i | −0.178226 | − | 0.0821634i | ||||
\(565\) | −17.8357 | − | 2.82490i | −0.750355 | − | 0.118844i | ||||
\(566\) | −18.8771 | − | 23.9455i | −0.793464 | − | 1.00650i | ||||
\(567\) | 23.6099 | + | 13.2222i | 0.991523 | + | 0.555280i | ||||
\(568\) | −0.679623 | + | 1.84220i | −0.0285164 | + | 0.0772970i | ||||
\(569\) | −32.3658 | − | 7.77034i | −1.35685 | − | 0.325750i | −0.511185 | − | 0.859471i | \(-0.670793\pi\) |
−0.845660 | + | 0.533721i | \(0.820793\pi\) | |||||||
\(570\) | 3.39795 | + | 3.97849i | 0.142324 | + | 0.166640i | ||||
\(571\) | −18.7694 | − | 28.0905i | −0.785477 | − | 1.17555i | −0.980839 | − | 0.194818i | \(-0.937588\pi\) |
0.195362 | − | 0.980731i | \(-0.437412\pi\) | |||||||
\(572\) | −8.78734 | − | 10.8692i | −0.367417 | − | 0.454465i | ||||
\(573\) | −3.67080 | − | 2.45275i | −0.153350 | − | 0.102465i | ||||
\(574\) | 27.5285 | − | 54.0277i | 1.14902 | − | 2.25507i | ||||
\(575\) | 12.1611 | − | 26.3794i | 0.507151 | − | 1.10010i | ||||
\(576\) | 0.0526177 | + | 0.219169i | 0.00219241 | + | 0.00913203i | ||||
\(577\) | 11.6894 | + | 3.79810i | 0.486634 | + | 0.158117i | 0.542050 | − | 0.840346i | \(-0.317648\pi\) |
−0.0554155 | + | 0.998463i | \(0.517648\pi\) | |||||||
\(578\) | −24.0521 | − | 15.4373i | −1.00043 | − | 0.642106i | ||||
\(579\) | 5.79861 | + | 7.98110i | 0.240982 | + | 0.331683i | ||||
\(580\) | 5.46288 | − | 3.34766i | 0.226834 | − | 0.139004i | ||||
\(581\) | 16.8426 | + | 30.0747i | 0.698751 | + | 1.24771i | ||||
\(582\) | 21.2232 | − | 21.2232i | 0.879731 | − | 0.879731i | ||||
\(583\) | 23.8934 | + | 8.48262i | 0.989565 | + | 0.351314i | ||||
\(584\) | −3.66859 | − | 0.729729i | −0.151808 | − | 0.0301964i | ||||
\(585\) | 0.411725 | + | 0.324578i | 0.0170227 | + | 0.0134196i | ||||
\(586\) | −2.24570 | + | 9.35403i | −0.0927691 | + | 0.386411i | ||||
\(587\) | −5.28799 | + | 8.62921i | −0.218259 | + | 0.356166i | −0.942965 | − | 0.332892i | \(-0.891975\pi\) |
0.724706 | + | 0.689058i | \(0.241975\pi\) | |||||||
\(588\) | 0.607289 | + | 2.15328i | 0.0250442 | + | 0.0887999i | ||||
\(589\) | −6.24395 | + | 11.1494i | −0.257277 | + | 0.459402i | ||||
\(590\) | 0.568123 | + | 14.4597i | 0.0233893 | + | 0.595297i | ||||
\(591\) | −3.74744 | − | 23.6604i | −0.154149 | − | 0.973260i | ||||
\(592\) | −2.86035 | + | 1.60187i | −0.117560 | + | 0.0658366i | ||||
\(593\) | 35.2348 | + | 14.5947i | 1.44692 | + | 0.599333i | 0.961465 | − | 0.274929i | \(-0.0886543\pi\) |
0.485454 | + | 0.874262i | \(0.338654\pi\) | |||||||
\(594\) | −28.4637 | − | 1.88847i | −1.16788 | − | 0.0774848i | ||||
\(595\) | −13.8584 | + | 0.945562i | −0.568137 | + | 0.0387642i | ||||
\(596\) | −7.62540 | + | 2.47764i | −0.312349 | + | 0.101488i | ||||
\(597\) | 11.2662 | + | 18.3847i | 0.461094 | + | 0.752437i | ||||
\(598\) | −46.0507 | + | 49.8173i | −1.88315 | + | 2.03718i | ||||
\(599\) | 26.2834 | − | 13.3920i | 1.07391 | − | 0.547184i | 0.174664 | − | 0.984628i | \(-0.444116\pi\) |
0.899246 | + | 0.437444i | \(0.144116\pi\) | |||||||
\(600\) | −9.99793 | + | 7.88174i | −0.408164 | + | 0.321770i | ||||
\(601\) | −9.03005 | − | 19.5877i | −0.368343 | − | 0.798998i | −0.999723 | − | 0.0235247i | \(-0.992511\pi\) |
0.631380 | − | 0.775474i | \(-0.282489\pi\) | |||||||
\(602\) | −16.9491 | − | 0.665934i | −0.690795 | − | 0.0271414i | ||||
\(603\) | −0.0666330 | + | 0.0569099i | −0.00271350 | + | 0.00231755i | ||||
\(604\) | −1.77667 | − | 4.28926i | −0.0722917 | − | 0.174528i | ||||
\(605\) | −1.79954 | − | 12.5525i | −0.0731617 | − | 0.510333i | ||||
\(606\) | −1.83976 | + | 9.24908i | −0.0747350 | + | 0.375718i | ||||
\(607\) | 27.5485 | + | 7.76948i | 1.11816 | + | 0.315354i | 0.780027 | − | 0.625745i | \(-0.215205\pi\) |
0.338132 | + | 0.941099i | \(0.390205\pi\) | |||||||
\(608\) | 6.68857 | − | 1.05937i | 0.271257 | − | 0.0429629i | ||||
\(609\) | −25.3682 | − | 23.4501i | −1.02797 | − | 0.950248i | ||||
\(610\) | −0.00558292 | − | 0.00476827i | −0.000226046 | − | 0.000193061i | ||||
\(611\) | 5.05732 | − | 15.5648i | 0.204597 | − | 0.629686i | ||||
\(612\) | 0.0908735 | + | 0.289920i | 0.00367334 | + | 0.0117193i | ||||
\(613\) | −14.3868 | + | 19.8018i | −0.581079 | + | 0.799786i | −0.993813 | − | 0.111065i | \(-0.964574\pi\) |
0.412735 | + | 0.910851i | \(0.364574\pi\) | |||||||
\(614\) | −1.53085 | + | 19.4512i | −0.0617799 | + | 0.784989i | ||||
\(615\) | −4.87862 | − | 24.5265i | −0.196725 | − | 0.989004i | ||||
\(616\) | 12.5982 | + | 14.3887i | 0.507596 | + | 0.579736i | ||||
\(617\) | −13.3879 | + | 20.0363i | −0.538975 | + | 0.806633i | −0.996590 | − | 0.0825176i | \(-0.973704\pi\) |
0.457615 | + | 0.889151i | \(0.348704\pi\) | |||||||
\(618\) | −42.0099 | + | 4.97220i | −1.68989 | + | 0.200011i | ||||
\(619\) | −0.847071 | + | 21.5594i | −0.0340467 | + | 0.866545i | 0.883384 | + | 0.468650i | \(0.155259\pi\) |
−0.917431 | + | 0.397895i | \(0.869741\pi\) | |||||||
\(620\) | −6.75747 | − | 4.14098i | −0.271386 | − | 0.166306i | ||||
\(621\) | 3.17615 | + | 40.3569i | 0.127455 | + | 1.61947i | ||||
\(622\) | −23.0687 | + | 6.50605i | −0.924971 | + | 0.260869i | ||||
\(623\) | 32.1431 | − | 14.8182i | 1.28779 | − | 0.593678i | ||||
\(624\) | 41.7942 | − | 15.4187i | 1.67311 | − | 0.617241i | ||||
\(625\) | −6.08711 | − | 3.10154i | −0.243484 | − | 0.124061i | ||||
\(626\) | 44.8132 | − | 8.91391i | 1.79110 | − | 0.356271i | ||||
\(627\) | −1.29187 | + | 8.85997i | −0.0515922 | + | 0.353833i | ||||
\(628\) | 6.55200i | 0.261453i | ||||||||
\(629\) | 2.27705 | − | 1.48741i | 0.0907919 | − | 0.0593069i | ||||
\(630\) | 0.408612 | + | 0.296874i | 0.0162795 | + | 0.0118277i | ||||
\(631\) | −27.0195 | + | 6.48681i | −1.07563 | + | 0.258236i | −0.732302 | − | 0.680980i | \(-0.761554\pi\) |
−0.343328 | + | 0.939216i | \(0.611554\pi\) | |||||||
\(632\) | −0.148617 | + | 1.25565i | −0.00591165 | + | 0.0499473i | ||||
\(633\) | −0.828416 | − | 1.62586i | −0.0329266 | − | 0.0646221i | ||||
\(634\) | −4.35503 | + | 0.171110i | −0.172960 | + | 0.00679563i | ||||
\(635\) | −6.18724 | + | 5.71943i | −0.245533 | + | 0.226968i | ||||
\(636\) | 6.87377 | − | 8.71933i | 0.272563 | − | 0.345744i | ||||
\(637\) | −7.25801 | + | 3.00636i | −0.287573 | + | 0.119116i | ||||
\(638\) | 35.8059 | + | 11.1494i | 1.41757 | + | 0.441410i | ||||
\(639\) | −0.0737874 | + | 0.0493031i | −0.00291898 | + | 0.00195040i | ||||
\(640\) | −1.77056 | − | 14.9594i | −0.0699875 | − | 0.591321i | ||||
\(641\) | −4.39698 | − | 11.9185i | −0.173670 | − | 0.470754i | 0.821350 | − | 0.570424i | \(-0.193221\pi\) |
−0.995021 | + | 0.0996703i | \(0.968221\pi\) | |||||||
\(642\) | 4.90234 | − | 30.9522i | 0.193480 | − | 1.22158i | ||||
\(643\) | −24.8078 | − | 2.93620i | −0.978324 | − | 0.115792i | −0.386873 | − | 0.922133i | \(-0.626445\pi\) |
−0.591451 | + | 0.806341i | \(0.701445\pi\) | |||||||
\(644\) | −12.4098 | + | 14.5300i | −0.489013 | + | 0.572560i | ||||
\(645\) | −5.65934 | + | 4.11175i | −0.222836 | + | 0.161900i | ||||
\(646\) | −10.3780 | + | 2.37749i | −0.408315 | + | 0.0935412i | ||||
\(647\) | 4.78519 | + | 14.7273i | 0.188125 | + | 0.578990i | 0.999988 | − | 0.00485831i | \(-0.00154645\pi\) |
−0.811863 | + | 0.583848i | \(0.801546\pi\) | |||||||
\(648\) | 6.99175 | − | 16.8796i | 0.274662 | − | 0.663092i | ||||
\(649\) | −17.9769 | + | 17.0321i | −0.705654 | + | 0.668569i | ||||
\(650\) | 22.2560 | + | 22.2560i | 0.872951 | + | 0.872951i | ||||
\(651\) | −11.5995 | + | 41.1288i | −0.454621 | + | 1.61196i | ||||
\(652\) | −4.03945 | − | 4.36985i | −0.158197 | − | 0.171137i | ||||
\(653\) | 7.50463 | + | 2.76861i | 0.293679 | + | 0.108344i | 0.488691 | − | 0.872457i | \(-0.337475\pi\) |
−0.195012 | + | 0.980801i | \(0.562475\pi\) | |||||||
\(654\) | 30.1819 | − | 2.37537i | 1.18020 | − | 0.0928841i | ||||
\(655\) | 6.53380 | − | 0.514221i | 0.255297 | − | 0.0200923i | ||||
\(656\) | −57.5464 | − | 21.2300i | −2.24681 | − | 0.828891i | ||||
\(657\) | −0.114752 | − | 0.124138i | −0.00447688 | − | 0.00484307i | ||||
\(658\) | 4.27961 | − | 15.1744i | 0.166837 | − | 0.591558i | ||||
\(659\) | 30.5188 | + | 30.5188i | 1.18884 | + | 1.18884i | 0.977388 | + | 0.211454i | \(0.0678199\pi\) |
0.211454 | + | 0.977388i | \(0.432180\pi\) | |||||||
\(660\) | −5.45925 | − | 1.01633i | −0.212501 | − | 0.0395605i | ||||
\(661\) | −8.17069 | + | 19.7258i | −0.317803 | + | 0.767244i | 0.681567 | + | 0.731756i | \(0.261299\pi\) |
−0.999370 | + | 0.0354887i | \(0.988701\pi\) | |||||||
\(662\) | −0.518888 | − | 1.59697i | −0.0201672 | − | 0.0620681i | ||||
\(663\) | −33.7223 | + | 15.1224i | −1.30967 | + | 0.587304i | ||||
\(664\) | 18.8283 | − | 13.6795i | 0.730679 | − | 0.530869i | ||||
\(665\) | −3.36065 | + | 3.93481i | −0.130320 | + | 0.152586i | ||||
\(666\) | −0.0982087 | − | 0.0116238i | −0.00380551 | − | 0.000450412i | ||||
\(667\) | 8.32522 | − | 52.5633i | 0.322354 | − | 2.03526i | ||||
\(668\) | 5.61848 | + | 15.2296i | 0.217386 | + | 0.589249i | ||||
\(669\) | 2.42357 | + | 20.4766i | 0.0937006 | + | 0.791672i | ||||
\(670\) | 1.58348 | − | 1.05805i | 0.0611752 | − | 0.0408760i | ||||
\(671\) | −0.000154419 | − | 0.0125635i | −5.96128e−6 | − | 0.000485009i | ||||
\(672\) | 20.9222 | − | 8.66625i | 0.807091 | − | 0.334308i | ||||
\(673\) | −10.2975 | + | 13.0623i | −0.396939 | + | 0.503515i | −0.942338 | − | 0.334661i | \(-0.891378\pi\) |
0.545399 | + | 0.838176i | \(0.316378\pi\) | |||||||
\(674\) | 4.76483 | − | 4.40457i | 0.183534 | − | 0.169658i | ||||
\(675\) | 18.7668 | − | 0.737351i | 0.722336 | − | 0.0283807i | ||||
\(676\) | −4.88027 | − | 9.57806i | −0.187703 | − | 0.368387i | ||||
\(677\) | 0.634949 | − | 5.36465i | 0.0244031 | − | 0.206180i | −0.975502 | − | 0.219993i | \(-0.929397\pi\) |
0.999905 | + | 0.0138122i | \(0.00439668\pi\) | |||||||
\(678\) | −45.0070 | + | 10.8052i | −1.72848 | + | 0.414972i | ||||
\(679\) | 24.0154 | + | 17.4482i | 0.921628 | + | 0.669602i | ||||
\(680\) | 1.73377 | + | 9.21690i | 0.0664869 | + | 0.353452i | ||||
\(681\) | 14.4515i | 0.553783i | ||||||||
\(682\) | −7.81936 | − | 45.7250i | −0.299419 | − | 1.75090i | ||||
\(683\) | −29.6393 | + | 5.89563i | −1.13412 | + | 0.225590i | −0.726237 | − | 0.687445i | \(-0.758732\pi\) |
−0.407881 | + | 0.913035i | \(0.633732\pi\) | |||||||
\(684\) | 0.100848 | + | 0.0513846i | 0.00385602 | + | 0.00196474i | ||||
\(685\) | −4.74194 | + | 1.74939i | −0.181180 | + | 0.0668409i | ||||
\(686\) | 24.3593 | − | 11.2298i | 0.930042 | − | 0.428755i | ||||
\(687\) | −45.7647 | + | 12.9070i | −1.74603 | + | 0.492432i | ||||
\(688\) | 1.34622 | + | 17.1054i | 0.0513242 | + | 0.652136i | ||||
\(689\) | 33.2419 | + | 20.3706i | 1.26641 | + | 0.776060i | ||||
\(690\) | −1.05818 | + | 26.9324i | −0.0402841 | + | 1.02530i | ||||
\(691\) | 3.83082 | − | 0.453408i | 0.145731 | − | 0.0172484i | −0.0443549 | − | 0.999016i | \(-0.514123\pi\) |
0.190086 | + | 0.981767i | \(0.439123\pi\) | |||||||
\(692\) | −4.68717 | + | 7.01485i | −0.178180 | + | 0.266664i | ||||
\(693\) | 0.0783998 | + | 0.860771i | 0.00297816 | + | 0.0326980i | ||||
\(694\) | −2.31138 | − | 11.6201i | −0.0877388 | − | 0.441093i | ||||
\(695\) | −0.976750 | + | 12.4108i | −0.0370502 | + | 0.470768i | ||||
\(696\) | −13.7100 | + | 18.8702i | −0.519676 | + | 0.715272i | ||||
\(697\) | 48.8301 | + | 14.3222i | 1.84957 | + | 0.542491i | ||||
\(698\) | 6.37236 | − | 19.6121i | 0.241197 | − | 0.742329i | ||||
\(699\) | −29.6065 | − | 25.2863i | −1.11982 | − | 0.956416i | ||||
\(700\) | 6.50989 | + | 6.01768i | 0.246051 | + | 0.227447i | ||||
\(701\) | −17.5068 | + | 2.77280i | −0.661223 | + | 0.104727i | −0.478022 | − | 0.878348i | \(-0.658646\pi\) |
−0.183201 | + | 0.983075i | \(0.558646\pi\) | |||||||
\(702\) | −42.2173 | − | 11.9065i | −1.59339 | − | 0.449382i | ||||
\(703\) | 0.197666 | − | 0.993734i | 0.00745511 | − | 0.0374794i | ||||
\(704\) | 5.61428 | − | 6.22527i | 0.211596 | − | 0.234624i | ||||
\(705\) | −2.48825 | − | 6.00718i | −0.0937131 | − | 0.226243i | ||||
\(706\) | −24.6308 | + | 21.0367i | −0.926992 | + | 0.791726i | ||||
\(707\) | −9.31957 | − | 0.366167i | −0.350499 | − | 0.0137711i | ||||
\(708\) | 4.54011 | + | 9.84826i | 0.170628 | + | 0.370120i | ||||
\(709\) | −36.3206 | + | 28.6329i | −1.36405 | + | 1.07533i | −0.375116 | + | 0.926978i | \(0.622397\pi\) |
−0.988935 | + | 0.148352i | \(0.952603\pi\) | |||||||
\(710\) | 1.71846 | − | 0.875599i | 0.0644926 | − | 0.0328606i | ||||
\(711\) | −0.0387904 | + | 0.0419632i | −0.00145475 | + | 0.00157374i | ||||
\(712\) | −12.4863 | − | 20.3758i | −0.467944 | − | 0.763615i | ||||
\(713\) | −62.6082 | + | 20.3427i | −2.34470 | + | 0.761838i | ||||
\(714\) | −31.8899 | + | 15.8326i | −1.19345 | + | 0.592519i | ||||
\(715\) | 1.29085 | − | 19.4563i | 0.0482752 | − | 0.727623i | ||||
\(716\) | −5.14453 | − | 2.13094i | −0.192260 | − | 0.0796368i | ||||
\(717\) | −23.8144 | + | 13.3367i | −0.889364 | + | 0.498068i | ||||
\(718\) | 7.63286 | + | 48.1920i | 0.284856 | + | 1.79851i | ||||
\(719\) | 1.16483 | + | 29.6468i | 0.0434407 | + | 1.10564i | 0.854096 | + | 0.520115i | \(0.174111\pi\) |
−0.810655 | + | 0.585524i | \(0.800889\pi\) | |||||||
\(720\) | 0.249641 | − | 0.445767i | 0.00930358 | − | 0.0166127i | ||||
\(721\) | −11.3567 | − | 40.2680i | −0.422947 | − | 1.49966i | ||||
\(722\) | 14.6174 | − | 23.8535i | 0.544005 | − | 0.887735i | ||||
\(723\) | 6.60113 | − | 27.4957i | 0.245499 | − | 1.02258i | ||||
\(724\) | 9.32452 | + | 7.35086i | 0.346543 | + | 0.273193i | ||||
\(725\) | −24.2161 | − | 4.81689i | −0.899365 | − | 0.178895i | ||||
\(726\) | −16.5740 | − | 27.9600i | −0.615118 | − | 1.03769i | ||||
\(727\) | 10.8261 | − | 10.8261i | 0.401517 | − | 0.401517i | −0.477251 | − | 0.878767i | \(-0.658367\pi\) |
0.878767 | + | 0.477251i | \(0.158367\pi\) | |||||||
\(728\) | 14.3690 | + | 25.6578i | 0.532552 | + | 0.950940i | ||||
\(729\) | −22.2969 | + | 13.6636i | −0.825811 | + | 0.506058i | ||||
\(730\) | 2.15952 | + | 2.97233i | 0.0799275 | + | 0.110011i | ||||
\(731\) | −2.08028 | − | 14.0821i | −0.0769421 | − | 0.520845i | ||||
\(732\) | −0.00523279 | − | 0.00170024i | −0.000193409 | − | 6.28425e-5i | ||||
\(733\) | −4.58649 | − | 19.1041i | −0.169406 | − | 0.705626i | −0.990808 | − | 0.135276i | \(-0.956808\pi\) |
0.821402 | − | 0.570350i | \(-0.193192\pi\) | |||||||
\(734\) | 3.68977 | − | 8.00374i | 0.136192 | − | 0.295423i | ||||
\(735\) | −1.41699 | + | 2.78099i | −0.0522663 | + | 0.102578i | ||||
\(736\) | 29.0067 | + | 19.3816i | 1.06920 | + | 0.714417i | ||||
\(737\) | 3.14735 | + | 0.846028i | 0.115934 | + | 0.0311638i | ||||
\(738\) | −1.02797 | − | 1.53847i | −0.0378401 | − | 0.0566317i | ||||
\(739\) | 13.8950 | + | 16.2689i | 0.511135 | + | 0.598463i | 0.954623 | − | 0.297818i | \(-0.0962589\pi\) |
−0.443487 | + | 0.896281i | \(0.646259\pi\) | |||||||
\(740\) | 0.611025 | + | 0.146694i | 0.0224617 | + | 0.00539258i | ||||
\(741\) | −4.76527 | + | 12.9168i | −0.175057 | + | 0.474512i | ||||
\(742\) | 32.7698 | + | 18.3520i | 1.20302 | + | 0.673723i | ||||
\(743\) | −20.2848 | − | 25.7311i | −0.744175 | − | 0.943982i | 0.255564 | − | 0.966792i | \(-0.417739\pi\) |
−0.999740 | + | 0.0228100i | \(0.992739\pi\) | |||||||
\(744\) | 28.4971 | + | 4.51350i | 1.04475 | + | 0.165473i | ||||
\(745\) | −10.1580 | − | 4.68291i | −0.372161 | − | 0.171569i | ||||
\(746\) | 5.36465 | + | 0.422207i | 0.196414 | + | 0.0154581i | ||||
\(747\) | 1.05183 | 0.0384843 | ||||||||
\(748\) | 6.97911 | − | 8.88719i | 0.255182 | − | 0.324948i | ||||
\(749\) | 30.9940 | 1.13250 | ||||||||
\(750\) | 29.4456 | + | 2.31742i | 1.07520 | + | 0.0846201i | ||||
\(751\) | −13.3652 | − | 6.16146i | −0.487704 | − | 0.224835i | 0.159432 | − | 0.987209i | \(-0.449034\pi\) |
−0.647136 | + | 0.762374i | \(0.724034\pi\) | |||||||
\(752\) | −15.7522 | − | 2.49490i | −0.574422 | − | 0.0909795i | ||||
\(753\) | −23.1316 | − | 29.3422i | −0.842961 | − | 1.06929i | ||||
\(754\) | 50.3128 | + | 28.1765i | 1.83228 | + | 1.02613i | ||||
\(755\) | 2.24176 | − | 6.07655i | 0.0815859 | − | 0.221148i | ||||
\(756\) | −12.0134 | − | 2.88417i | −0.436924 | − | 0.104896i | ||||
\(757\) | 22.1713 | + | 25.9593i | 0.805831 | + | 0.943507i | 0.999293 | − | 0.0376008i | \(-0.0119715\pi\) |
−0.193462 | + | 0.981108i | \(0.561972\pi\) | |||||||
\(758\) | 2.87983 | + | 4.30997i | 0.104600 | + | 0.156545i | ||||
\(759\) | −35.8692 | + | 28.9989i | −1.30197 | + | 1.05259i | ||||
\(760\) | 2.90496 | + | 1.94103i | 0.105374 | + | 0.0704087i | ||||
\(761\) | 11.6823 | − | 22.9278i | 0.423483 | − | 0.831132i | −0.576420 | − | 0.817154i | \(-0.695551\pi\) |
0.999902 | − | 0.0139778i | \(-0.00444943\pi\) | |||||||
\(762\) | −9.04167 | + | 19.6129i | −0.327545 | + | 0.710500i | ||||
\(763\) | 6.99003 | + | 29.1156i | 0.253056 | + | 1.05405i | ||||
\(764\) | 1.97404 | + | 0.641406i | 0.0714184 | + | 0.0232052i | ||||
\(765\) | −0.181454 | + | 0.383060i | −0.00656048 | + | 0.0138496i | ||||
\(766\) | −7.29512 | − | 10.0409i | −0.263583 | − | 0.362791i | ||||
\(767\) | −32.4678 | + | 19.8963i | −1.17234 | + | 0.718413i | ||||
\(768\) | −14.5248 | − | 25.9359i | −0.524119 | − | 0.935883i | ||||
\(769\) | −1.60934 | + | 1.60934i | −0.0580344 | + | 0.0580344i | −0.735528 | − | 0.677494i | \(-0.763066\pi\) |
0.677494 | + | 0.735528i | \(0.263066\pi\) | |||||||
\(770\) | 0.506740 | − | 18.7779i | 0.0182616 | − | 0.676707i | ||||
\(771\) | −14.8208 | − | 2.94805i | −0.533759 | − | 0.106171i | ||||
\(772\) | −3.64239 | − | 2.87143i | −0.131092 | − | 0.103345i | ||||
\(773\) | −0.988614 | + | 4.11787i | −0.0355580 | + | 0.148110i | −0.987325 | − | 0.158713i | \(-0.949266\pi\) |
0.951767 | + | 0.306822i | \(0.0992657\pi\) | |||||||
\(774\) | −0.270442 | + | 0.441320i | −0.00972082 | + | 0.0158629i | ||||
\(775\) | 8.29025 | + | 29.3950i | 0.297795 | + | 1.05590i | ||||
\(776\) | 9.79311 | − | 17.4869i | 0.351552 | − | 0.627741i | ||||
\(777\) | −0.133022 | − | 3.38563i | −0.00477213 | − | 0.121459i | ||||
\(778\) | 1.81784 | + | 11.4774i | 0.0651726 | + | 0.411484i | ||||
\(779\) | 16.5398 | − | 9.26273i | 0.592600 | − | 0.331872i | ||||
\(780\) | −7.88880 | − | 3.26765i | −0.282465 | − | 0.117001i | ||||
\(781\) | 3.06461 | + | 1.22549i | 0.109660 | + | 0.0438516i | ||||
\(782\) | −47.5726 | − | 27.2966i | −1.70119 | − | 0.976126i | ||||
\(783\) | 32.7255 | − | 10.6331i | 1.16951 | − | 0.379998i | ||||
\(784\) | 4.00008 | + | 6.52754i | 0.142860 | + | 0.233127i | ||||
\(785\) | −6.20461 | + | 6.71210i | −0.221452 | + | 0.239565i | ||||
\(786\) | 14.9680 | − | 7.62660i | 0.533892 | − | 0.272032i | ||||
\(787\) | 1.79584 | − | 1.41572i | 0.0640147 | − | 0.0504651i | −0.586572 | − | 0.809897i | \(-0.699523\pi\) |
0.650587 | + | 0.759432i | \(0.274523\pi\) | |||||||
\(788\) | 4.71520 | + | 10.2281i | 0.167972 | + | 0.364360i | ||||
\(789\) | 49.1581 | + | 1.93143i | 1.75008 | + | 0.0687606i | ||||
\(790\) | 0.944386 | − | 0.806582i | 0.0335998 | − | 0.0286969i | ||||
\(791\) | −17.5184 | − | 42.2931i | −0.622882 | − | 1.50377i | ||||
\(792\) | 0.570920 | − | 0.120876i | 0.0202867 | − | 0.00429513i | ||||
\(793\) | 0.00376916 | − | 0.0189488i | 0.000133847 | − | 0.000672893i | ||||
\(794\) | 25.5547 | + | 7.20717i | 0.906902 | + | 0.255773i | ||||
\(795\) | 15.2988 | − | 2.42309i | 0.542591 | − | 0.0859380i | ||||
\(796\) | −7.44414 | − | 6.88130i | −0.263851 | − | 0.243901i | ||||
\(797\) | 30.3595 | + | 25.9294i | 1.07539 | + | 0.918468i | 0.996918 | − | 0.0784487i | \(-0.0249967\pi\) |
0.0784695 | + | 0.996917i | \(0.474997\pi\) | |||||||
\(798\) | −4.09863 | + | 12.6143i | −0.145090 | + | 0.446541i | ||||
\(799\) | 13.1790 | + | 1.17544i | 0.466239 | + | 0.0415839i | ||||
\(800\) | 9.51345 | − | 13.0941i | 0.336351 | − | 0.462948i | ||||
\(801\) | 0.0847388 | − | 1.07671i | 0.00299410 | − | 0.0380436i | ||||
\(802\) | −3.47450 | − | 17.4675i | −0.122689 | − | 0.616799i | ||||
\(803\) | −1.39250 | + | 6.13120i | −0.0491404 | + | 0.216365i | ||||
\(804\) | 0.792896 | − | 1.18665i | 0.0279633 | − | 0.0418500i | ||||
\(805\) | −26.4726 | + | 3.13324i | −0.933036 | + | 0.110432i | ||||
\(806\) | 2.80043 | − | 71.2758i | 0.0986410 | − | 2.51058i | ||||
\(807\) | 19.6925 | + | 12.0676i | 0.693208 | + | 0.424799i | ||||
\(808\) | 0.494071 | + | 6.27777i | 0.0173814 | + | 0.220851i | ||||
\(809\) | −40.2427 | + | 11.3496i | −1.41486 | + | 0.399031i | −0.891476 | − | 0.453068i | \(-0.850330\pi\) |
−0.523381 | + | 0.852099i | \(0.675330\pi\) | |||||||
\(810\) | −16.2972 | + | 7.51312i | −0.572626 | + | 0.263984i | ||||
\(811\) | −47.4998 | + | 17.5236i | −1.66794 | + | 0.615336i | −0.992519 | − | 0.122094i | \(-0.961039\pi\) |
−0.675424 | + | 0.737430i | \(0.736039\pi\) | |||||||
\(812\) | 14.4717 | + | 7.37372i | 0.507858 | + | 0.258767i | ||||
\(813\) | 10.4126 | − | 2.07120i | 0.365187 | − | 0.0726402i | ||||
\(814\) | 1.70997 | + | 3.25643i | 0.0599343 | + | 0.114138i | ||||
\(815\) | − | 8.30191i | − | 0.290803i | ||||||
\(816\) | 19.6961 | + | 30.1525i | 0.689502 | + | 1.05555i | ||||
\(817\) | −4.29014 | − | 3.11697i | −0.150093 | − | 0.109049i | ||||
\(818\) | 28.5985 | − | 6.86588i | 0.999922 | − | 0.240060i | ||||
\(819\) | −0.156215 | + | 1.31985i | −0.00545858 | + | 0.0461193i | ||||
\(820\) | 5.33759 | + | 10.4756i | 0.186397 | + | 0.365824i | ||||
\(821\) | −26.2439 | + | 1.03112i | −0.915917 | + | 0.0359865i | −0.492852 | − | 0.870113i | \(-0.664046\pi\) |
−0.423065 | + | 0.906099i | \(0.639046\pi\) | |||||||
\(822\) | −9.51324 | + | 8.79395i | −0.331812 | + | 0.306724i | ||||
\(823\) | 14.9017 | − | 18.9027i | 0.519439 | − | 0.658905i | −0.453151 | − | 0.891434i | \(-0.649700\pi\) |
0.972590 | + | 0.232529i | \(0.0747000\pi\) | |||||||
\(824\) | −26.0981 | + | 10.8102i | −0.909172 | + | 0.376591i | ||||
\(825\) | 12.7902 | + | 17.1568i | 0.445298 | + | 0.597322i | ||||
\(826\) | −30.5017 | + | 20.3806i | −1.06129 | + | 0.709132i | ||||
\(827\) | −2.53968 | − | 21.4576i | −0.0883132 | − | 0.746154i | −0.964482 | − | 0.264150i | \(-0.914909\pi\) |
0.876169 | − | 0.482005i | \(-0.160091\pi\) | |||||||
\(828\) | 0.201812 | + | 0.547036i | 0.00701346 | + | 0.0190108i | ||||
\(829\) | 5.18191 | − | 32.7173i | 0.179975 | − | 1.13632i | −0.717925 | − | 0.696120i | \(-0.754908\pi\) |
0.897901 | − | 0.440198i | \(-0.145092\pi\) | |||||||
\(830\) | −22.7010 | − | 2.68684i | −0.787964 | − | 0.0932617i | ||||
\(831\) | 28.8596 | − | 33.7903i | 1.00113 | − | 1.17217i | ||||
\(832\) | 10.4284 | − | 7.57671i | 0.361541 | − | 0.262675i | ||||
\(833\) | −3.67951 | − | 5.17695i | −0.127487 | − | 0.179371i | ||||
\(834\) | 9.86052 | + | 30.3476i | 0.341442 | + | 1.05085i | ||||
\(835\) | −8.66630 | + | 20.9223i | −0.299910 | + | 0.724046i | ||||
\(836\) | −0.546121 | − | 4.17399i | −0.0188880 | − | 0.144360i | ||||
\(837\) | −30.0972 | − | 30.0972i | −1.04031 | − | 1.04031i | ||||
\(838\) | 14.8277 | − | 52.5749i | 0.512213 | − | 1.81617i | ||||
\(839\) | 12.7912 | + | 13.8374i | 0.441601 | + | 0.477722i | 0.915189 | − | 0.403025i | \(-0.132041\pi\) |
−0.473588 | + | 0.880747i | \(0.657041\pi\) | |||||||
\(840\) | 10.9613 | + | 4.04385i | 0.378202 | + | 0.139526i | ||||
\(841\) | −16.1860 | + | 1.27386i | −0.558136 | + | 0.0439263i | ||||
\(842\) | 50.7440 | − | 3.99364i | 1.74875 | − | 0.137630i | ||||
\(843\) | 31.8072 | + | 11.7343i | 1.09550 | + | 0.404151i | ||||
\(844\) | 0.582345 | + | 0.629978i | 0.0200452 | + | 0.0216847i | ||||
\(845\) | 4.07070 | − | 14.4336i | 0.140036 | − | 0.496532i | ||||
\(846\) | −0.340189 | − | 0.340189i | −0.0116959 | − | 0.0116959i | ||||
\(847\) | 24.7483 | − | 20.5161i | 0.850363 | − | 0.704942i | ||||
\(848\) | 14.5392 | − | 35.1008i | 0.499279 | − | 1.20537i | ||||
\(849\) | −9.85077 | − | 30.3176i | −0.338078 | − | 1.04050i | ||||
\(850\) | −13.5209 | + | 21.5569i | −0.463764 | + | 0.739397i | ||||
\(851\) | 4.22272 | − | 3.06798i | 0.144753 | − | 0.105169i | ||||
\(852\) | 0.938672 | − | 1.09904i | 0.0321584 | − | 0.0376526i | ||||
\(853\) | 4.68567 | + | 0.554586i | 0.160434 | + | 0.0189887i | 0.197371 | − | 0.980329i | \(-0.436760\pi\) |
−0.0369361 | + | 0.999318i | \(0.511760\pi\) | |||||||
\(854\) | 0.00291160 | − | 0.0183831i | 9.96330e−5 | − | 0.000629058i | ||||
\(855\) | 0.0546522 | + | 0.148141i | 0.00186906 | + | 0.00506632i | ||||
\(856\) | −2.45963 | − | 20.7813i | −0.0840683 | − | 0.710289i | ||||
\(857\) | −25.9808 | + | 17.3598i | −0.887489 | + | 0.593001i | −0.913580 | − | 0.406658i | \(-0.866694\pi\) |
0.0260914 | + | 0.999660i | \(0.491694\pi\) | |||||||
\(858\) | −16.0275 | − | 47.3397i | −0.547169 | − | 1.61615i | ||||
\(859\) | 38.0975 | − | 15.7805i | 1.29987 | − | 0.538424i | 0.377958 | − | 0.925823i | \(-0.376626\pi\) |
0.921912 | + | 0.387398i | \(0.126626\pi\) | |||||||
\(860\) | 2.03611 | − | 2.58279i | 0.0694308 | − | 0.0880725i | ||||
\(861\) | 46.5513 | − | 43.0316i | 1.58646 | − | 1.46651i | ||||
\(862\) | −2.36185 | + | 0.0927972i | −0.0804448 | + | 0.00316069i | ||||
\(863\) | 22.1660 | + | 43.5032i | 0.754538 | + | 1.48086i | 0.872903 | + | 0.487895i | \(0.162235\pi\) |
−0.118364 | + | 0.992970i | \(0.537765\pi\) | |||||||
\(864\) | −2.65121 | + | 22.4000i | −0.0901960 | + | 0.762062i | ||||
\(865\) | −11.4446 | + | 2.74761i | −0.389129 | + | 0.0934216i | ||||
\(866\) | 37.4599 | + | 27.2162i | 1.27294 | + | 0.924845i | ||||
\(867\) | −18.0053 | − | 23.8449i | −0.611493 | − | 0.809815i | ||||
\(868\) | − | 20.0910i | − | 0.681934i | ||||||
\(869\) | 2.10312 | + | 0.306655i | 0.0713435 | + | 0.0104026i | ||||
\(870\) | 22.4701 | − | 4.46959i | 0.761809 | − | 0.151533i | ||||
\(871\) | 4.46519 | + | 2.27513i | 0.151297 | + | 0.0770897i | ||||
\(872\) | 18.9671 | − | 6.99732i | 0.642306 | − | 0.236959i | ||||
\(873\) | 0.822608 | − | 0.379228i | 0.0278411 | − | 0.0128349i | ||||
\(874\) | −19.6651 | + | 5.54613i | −0.665182 | + | 0.187601i | ||||
\(875\) | 2.29198 | + | 29.1223i | 0.0774830 | + | 0.984515i | ||||
\(876\) | 2.34755 | + | 1.43858i | 0.0793165 | + | 0.0486052i | ||||
\(877\) | 1.37838 | − | 35.0821i | 0.0465446 | − | 1.18464i | −0.781474 | − | 0.623938i | \(-0.785532\pi\) |
0.828019 | − | 0.560700i | \(-0.189468\pi\) | |||||||
\(878\) | −22.1913 | + | 2.62651i | −0.748920 | + | 0.0886405i | ||||
\(879\) | −5.58747 | + | 8.36224i | −0.188461 | + | 0.282051i | ||||
\(880\) | −18.9235 | + | 1.72357i | −0.637910 | + | 0.0581014i | ||||
\(881\) | 3.83420 | + | 19.2758i | 0.129177 | + | 0.649418i | 0.990064 | + | 0.140621i | \(0.0449098\pi\) |
−0.860886 | + | 0.508798i | \(0.830090\pi\) | |||||||
\(882\) | −0.0181193 | + | 0.230228i | −0.000610110 | + | 0.00775218i | ||||
\(883\) | −26.8527 | + | 36.9596i | −0.903667 | + | 1.24379i | 0.0656166 | + | 0.997845i | \(0.479099\pi\) |
−0.969284 | + | 0.245946i | \(0.920901\pi\) | |||||||
\(884\) | 13.3294 | − | 11.1464i | 0.448317 | − | 0.374894i | ||||
\(885\) | −4.67505 | + | 14.3883i | −0.157150 | + | 0.483658i | ||||
\(886\) | 22.4242 | + | 19.1520i | 0.753354 | + | 0.643425i | ||||
\(887\) | −4.09954 | − | 3.78958i | −0.137649 | − | 0.127242i | 0.606988 | − | 0.794711i | \(-0.292378\pi\) |
−0.744637 | + | 0.667469i | \(0.767378\pi\) | |||||||
\(888\) | −2.25949 | + | 0.357867i | −0.0758234 | + | 0.0120092i | ||||
\(889\) | −20.5577 | − | 5.79787i | −0.689483 | − | 0.194454i | ||||
\(890\) | −4.57929 | + | 23.0216i | −0.153498 | + | 0.771686i | ||||
\(891\) | −28.0455 | − | 12.5135i | −0.939559 | − | 0.419219i | ||||
\(892\) | −3.70984 | − | 8.95636i | −0.124215 | − | 0.299881i | ||||
\(893\) | 3.74806 | − | 3.20114i | 0.125424 | − | 0.107122i | ||||
\(894\) | −28.6482 | − | 1.12559i | −0.958139 | − | 0.0376454i | ||||
\(895\) | −3.25230 | − | 7.05478i | −0.108712 | − | 0.235815i | ||||
\(896\) | 29.9891 | − | 23.6415i | 1.00186 | − | 0.789806i | ||||
\(897\) | −63.1951 | + | 32.1995i | −2.11002 | + | 1.07511i | ||||
\(898\) | 24.0975 | − | 26.0685i | 0.804143 | − | 0.869917i | ||||
\(899\) | 29.2369 | + | 47.7103i | 0.975105 | + | 1.59123i | ||||
\(900\) | 0.257276 | − | 0.0835939i | 0.00857585 | − | 0.00278646i | ||||
\(901\) | −10.0518 | + | 29.8740i | −0.334875 | + | 0.995249i | ||||
\(902\) | −25.5516 | + | 63.8970i | −0.850774 | + | 2.12754i | ||||
\(903\) | −16.3835 | − | 6.78628i | −0.545209 | − | 0.225833i | ||||
\(904\) | −26.9670 | + | 15.1023i | −0.896910 | + | 0.502294i | ||||
\(905\) | 2.59127 | + | 16.3606i | 0.0861367 | + | 0.543846i | ||||
\(906\) | −0.651765 | − | 16.5885i | −0.0216534 | − | 0.551117i | ||||
\(907\) | 20.6766 | − | 36.9207i | 0.686554 | − | 1.22593i | −0.277627 | − | 0.960689i | \(-0.589548\pi\) |
0.964182 | − | 0.265242i | \(-0.0854519\pi\) | |||||||
\(908\) | −1.84427 | − | 6.53928i | −0.0612042 | − | 0.217014i | ||||
\(909\) | −0.148704 | + | 0.242662i | −0.00493219 | + | 0.00804860i | ||||
\(910\) | 6.74301 | − | 28.0867i | 0.223529 | − | 0.931064i | ||||
\(911\) | 24.1153 | + | 19.0110i | 0.798977 | + | 0.629863i | 0.932495 | − | 0.361184i | \(-0.117627\pi\) |
−0.133518 | + | 0.991046i | \(0.542627\pi\) | |||||||
\(912\) | 13.1589 | + | 2.61747i | 0.435736 | + | 0.0866732i | ||||
\(913\) | −22.1318 | − | 32.2572i | −0.732456 | − | 1.06756i | ||||
\(914\) | 23.1732 | − | 23.1732i | 0.766501 | − | 0.766501i | ||||
\(915\) | −0.00375057 | − | 0.00669713i | −0.000123990 | − | 0.000221400i | ||||
\(916\) | 19.0613 | − | 11.6808i | 0.629803 | − | 0.385944i | ||||
\(917\) | 9.76583 | + | 13.4415i | 0.322496 | + | 0.443878i | ||||
\(918\) | 1.76124 | − | 35.4191i | 0.0581297 | − | 1.16900i | ||||
\(919\) | 3.36673 | + | 1.09392i | 0.111058 | + | 0.0360850i | 0.364019 | − | 0.931392i | \(-0.381404\pi\) |
−0.252961 | + | 0.967477i | \(0.581404\pi\) | |||||||
\(920\) | 4.20163 | + | 17.5010i | 0.138524 | + | 0.576992i | ||||
\(921\) | −8.54002 | + | 18.5247i | −0.281403 | + | 0.610411i | ||||
\(922\) | −7.49504 | + | 14.7098i | −0.246836 | + | 0.484443i | ||||
\(923\) | 4.21985 | + | 2.81961i | 0.138898 | + | 0.0928087i | ||||
\(924\) | −5.03430 | − | 13.1462i | −0.165616 | − | 0.432478i | ||||
\(925\) | −1.34537 | − | 2.01349i | −0.0442354 | − | 0.0662030i | ||||
\(926\) | −10.0736 | − | 11.7947i | −0.331040 | − | 0.387598i | ||||
\(927\) | −1.24141 | − | 0.298037i | −0.0407733 | − | 0.00978881i | ||||
\(928\) | 10.2635 | − | 27.8204i | 0.336916 | − | 0.913251i | ||||
\(929\) | −41.4253 | − | 23.1993i | −1.35912 | − | 0.761143i | −0.373103 | − | 0.927790i | \(-0.621706\pi\) |
−0.986017 | + | 0.166647i | \(0.946706\pi\) | |||||||
\(930\) | −17.5449 | − | 22.2556i | −0.575319 | − | 0.729789i | ||||
\(931\) | −2.33692 | − | 0.370132i | −0.0765895 | − | 0.0121306i | ||||
\(932\) | 16.6239 | + | 7.66371i | 0.544533 | + | 0.251033i | ||||
\(933\) | −24.9811 | − | 1.96605i | −0.817843 | − | 0.0643657i | ||||
\(934\) | −1.93097 | −0.0631833 | ||||||||
\(935\) | 15.5656 | − | 2.49529i | 0.509051 | − | 0.0816047i | ||||
\(936\) | 0.897348 | 0.0293307 | ||||||||
\(937\) | 47.9495 | + | 3.77371i | 1.56644 | + | 0.123282i | 0.831763 | − | 0.555131i | \(-0.187332\pi\) |
0.734681 | + | 0.678413i | \(0.237332\pi\) | |||||||
\(938\) | 4.38434 | + | 2.02121i | 0.143154 | + | 0.0659948i | ||||
\(939\) | 47.1804 | + | 7.47264i | 1.53967 | + | 0.243860i | ||||
\(940\) | 1.89255 | + | 2.40069i | 0.0617283 | + | 0.0783020i | ||||
\(941\) | 20.3057 | + | 11.3717i | 0.661946 | + | 0.370708i | 0.783073 | − | 0.621929i | \(-0.213651\pi\) |
−0.121127 | + | 0.992637i | \(0.538651\pi\) | |||||||
\(942\) | −8.10909 | + | 21.9806i | −0.264208 | + | 0.716168i | ||||
\(943\) | 94.9591 | + | 22.7977i | 3.09229 | + | 0.742394i | ||||
\(944\) | 24.0998 | + | 28.2172i | 0.784381 | + | 0.918392i | ||||
\(945\) | −9.57574 | − | 14.3311i | −0.311499 | − | 0.466191i | ||||
\(946\) | 19.2248 | − | 0.992116i | 0.625052 | − | 0.0322565i | ||||
\(947\) | −21.9140 | − | 14.6425i | −0.712111 | − | 0.475817i | 0.145998 | − | 0.989285i | \(-0.453361\pi\) |
−0.858109 | + | 0.513468i | \(0.828361\pi\) | |||||||
\(948\) | 0.422534 | − | 0.829270i | 0.0137233 | − | 0.0269334i | ||||
\(949\) | −4.04755 | + | 8.77982i | −0.131389 | + | 0.285005i | ||||
\(950\) | 2.21294 | + | 9.21755i | 0.0717972 | + | 0.299057i | ||||
\(951\) | −4.33353 | − | 1.40805i | −0.140524 | − | 0.0456591i | ||||
\(952\) | −17.6256 | + | 15.9557i | −0.571249 | + | 0.517129i | ||||
\(953\) | 5.38259 | + | 7.40850i | 0.174359 | + | 0.239985i | 0.887249 | − | 0.461292i | \(-0.152614\pi\) |
−0.712889 | + | 0.701277i | \(0.752614\pi\) | |||||||
\(954\) | 0.977197 | − | 0.598827i | 0.0316379 | − | 0.0193878i | ||||
\(955\) | 1.41488 | + | 2.52646i | 0.0457846 | + | 0.0817543i | ||||
\(956\) | 9.07397 | − | 9.07397i | 0.293473 | − | 0.293473i | ||||
\(957\) | 31.0856 | + | 23.8924i | 1.00486 | + | 0.772330i | ||||
\(958\) | −59.1523 | − | 11.7661i | −1.91112 | − | 0.380146i | ||||
\(959\) | −10.0622 | − | 7.93240i | −0.324926 | − | 0.256151i | ||||
\(960\) | 1.19554 | − | 4.97978i | 0.0385859 | − | 0.160722i | ||||
\(961\) | 19.9680 | − | 32.5848i | 0.644128 | − | 1.05112i | ||||
\(962\) | 1.53518 | + | 5.44335i | 0.0494963 | + | 0.175501i | ||||
\(963\) | 0.462121 | − | 0.825176i | 0.0148916 | − | 0.0265909i | ||||
\(964\) | 0.521937 | + | 13.2842i | 0.0168104 | + | 0.427854i | ||||
\(965\) | −1.01221 | − | 6.39086i | −0.0325843 | − | 0.205729i | ||||
\(966\) | −59.6153 | + | 33.3862i | −1.91809 | + | 1.07418i | ||||
\(967\) | −16.3193 | − | 6.75966i | −0.524792 | − | 0.217376i | 0.104529 | − | 0.994522i | \(-0.466667\pi\) |
−0.629320 | + | 0.777146i | \(0.716667\pi\) | |||||||
\(968\) | −15.7199 | − | 14.9655i | −0.505257 | − | 0.481009i | ||||
\(969\) | −11.0395 | − | 1.42334i | −0.354639 | − | 0.0457244i | ||||
\(970\) | −18.7227 | + | 6.08336i | −0.601149 | + | 0.195325i | ||||
\(971\) | 8.22148 | + | 13.4162i | 0.263840 | + | 0.430547i | 0.956937 | − | 0.290297i | \(-0.0937542\pi\) |
−0.693097 | + | 0.720845i | \(0.743754\pi\) | |||||||
\(972\) | −0.519655 | + | 0.562159i | −0.0166679 | + | 0.0180313i | ||||
\(973\) | −28.1193 | + | 14.3275i | −0.901464 | + | 0.459319i | ||||
\(974\) | −2.23168 | + | 1.75932i | −0.0715078 | + | 0.0563722i | ||||
\(975\) | 13.7763 | + | 29.8831i | 0.441194 | + | 0.957024i | ||||
\(976\) | −0.0188129 | 0.000739160i | −0.000602186 | 2.36599e-5i | ||||||
\(977\) | −10.6355 | + | 9.08358i | −0.340260 | + | 0.290610i | −0.803114 | − | 0.595825i | \(-0.796825\pi\) |
0.462854 | + | 0.886434i | \(0.346825\pi\) | |||||||
\(978\) | −8.14320 | − | 19.6594i | −0.260391 | − | 0.628639i | ||||
\(979\) | −34.8033 | + | 20.0566i | −1.11232 | + | 0.641013i | ||||
\(980\) | 0.286280 | − | 1.43923i | 0.00914488 | − | 0.0459744i | ||||
\(981\) | 0.879386 | + | 0.248013i | 0.0280766 | + | 0.00791843i | ||||
\(982\) | 33.7443 | − | 5.34458i | 1.07682 | − | 0.170552i | ||||
\(983\) | −0.878369 | − | 0.811956i | −0.0280156 | − | 0.0258974i | 0.664669 | − | 0.747138i | \(-0.268572\pi\) |
−0.692685 | + | 0.721240i | \(0.743572\pi\) | |||||||
\(984\) | −32.5466 | − | 27.7974i | −1.03755 | − | 0.886150i | ||||
\(985\) | −4.85534 | + | 14.9432i | −0.154704 | + | 0.476130i | ||||
\(986\) | −13.1214 | + | 44.7361i | −0.417870 | + | 1.42469i | ||||
\(987\) | 9.68852 | − | 13.3351i | 0.308389 | − | 0.424461i | ||||
\(988\) | 0.507861 | − | 6.45298i | 0.0161572 | − | 0.205297i | ||||
\(989\) | −5.32951 | − | 26.7933i | −0.169469 | − | 0.851976i | ||||
\(990\) | −0.492382 | − | 0.293470i | −0.0156489 | − | 0.00932707i | ||||
\(991\) | 6.34181 | − | 9.49120i | 0.201454 | − | 0.301498i | −0.716963 | − | 0.697112i | \(-0.754468\pi\) |
0.918417 | + | 0.395614i | \(0.129468\pi\) | |||||||
\(992\) | −36.4262 | + | 4.31133i | −1.15653 | + | 0.136885i | ||||
\(993\) | 0.0689206 | − | 1.75415i | 0.00218713 | − | 0.0556661i | ||||
\(994\) | 4.16877 | + | 2.55463i | 0.132225 | + | 0.0810278i | ||||
\(995\) | −1.10961 | − | 14.0989i | −0.0351769 | − | 0.446965i | ||||
\(996\) | −16.4876 | + | 4.64999i | −0.522430 | + | 0.147340i | ||||
\(997\) | −3.26930 | + | 1.50717i | −0.103540 | + | 0.0477324i | −0.469749 | − | 0.882800i | \(-0.655655\pi\) |
0.366209 | + | 0.930533i | \(0.380655\pi\) | |||||||
\(998\) | 48.7892 | − | 17.9993i | 1.54439 | − | 0.569757i | ||||
\(999\) | 3.00699 | + | 1.53214i | 0.0951369 | + | 0.0484746i |
(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 | 187.2.t.a.6.5 | ✓ | 512 | |
11.2 | odd | 10 | inner | 187.2.t.a.57.5 | yes | 512 | |
17.3 | odd | 16 | inner | 187.2.t.a.105.5 | yes | 512 | |
187.156 | even | 80 | inner | 187.2.t.a.156.5 | yes | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
187.2.t.a.6.5 | ✓ | 512 | 1.1 | even | 1 | trivial | |
187.2.t.a.57.5 | yes | 512 | 11.2 | odd | 10 | inner | |
187.2.t.a.105.5 | yes | 512 | 17.3 | odd | 16 | inner | |
187.2.t.a.156.5 | yes | 512 | 187.156 | even | 80 | inner |