Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [475,2,Mod(39,475)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(475, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("475.39");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 475 = 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 475.n (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.79289409601\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 39.5 | ||
Character | \(\chi\) | \(=\) | 475.39 |
Dual form | 475.2.n.b.134.5 |
$q$-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 \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{3}{10}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.09699 | − | 1.50988i | −0.775688 | − | 1.06764i | −0.995745 | − | 0.0921562i | \(-0.970624\pi\) |
0.220056 | − | 0.975487i | \(-0.429376\pi\) | |||||||
\(3\) | −2.32300 | − | 0.754787i | −1.34118 | − | 0.435777i | −0.451466 | − | 0.892289i | \(-0.649099\pi\) |
−0.889717 | + | 0.456512i | \(0.849099\pi\) | |||||||
\(4\) | −0.458306 | + | 1.41052i | −0.229153 | + | 0.705260i | ||||
\(5\) | −0.339804 | − | 2.21010i | −0.151965 | − | 0.988386i | ||||
\(6\) | 1.40867 | + | 4.33543i | 0.575086 | + | 1.76993i | ||||
\(7\) | 1.57904i | 0.596823i | 0.954437 | + | 0.298411i | \(0.0964567\pi\) | ||||
−0.954437 | + | 0.298411i | \(0.903543\pi\) | |||||||
\(8\) | −0.917463 | + | 0.298102i | −0.324372 | + | 0.105395i | ||||
\(9\) | 2.39956 | + | 1.74338i | 0.799853 | + | 0.581127i | ||||
\(10\) | −2.96421 | + | 2.93752i | −0.937366 | + | 0.928924i | ||||
\(11\) | 0.575073 | − | 0.417815i | 0.173391 | − | 0.125976i | −0.497705 | − | 0.867346i | \(-0.665824\pi\) |
0.671096 | + | 0.741370i | \(0.265824\pi\) | |||||||
\(12\) | 2.12929 | − | 2.93071i | 0.614672 | − | 0.846024i | ||||
\(13\) | −2.92977 | + | 4.03248i | −0.812572 | + | 1.11841i | 0.178350 | + | 0.983967i | \(0.442924\pi\) |
−0.990921 | + | 0.134442i | \(0.957076\pi\) | |||||||
\(14\) | 2.38416 | − | 1.73219i | 0.637194 | − | 0.462948i | ||||
\(15\) | −0.878789 | + | 5.39053i | −0.226902 | + | 1.39183i | ||||
\(16\) | 3.85626 | + | 2.80174i | 0.964066 | + | 0.700435i | ||||
\(17\) | −0.705512 | + | 0.229235i | −0.171112 | + | 0.0555976i | −0.393320 | − | 0.919402i | \(-0.628674\pi\) |
0.222208 | + | 0.974999i | \(0.428674\pi\) | |||||||
\(18\) | − | 5.53551i | − | 1.30473i | ||||||
\(19\) | 0.309017 | + | 0.951057i | 0.0708934 | + | 0.218187i | ||||
\(20\) | 3.27312 | + | 0.533600i | 0.731893 | + | 0.119317i | ||||
\(21\) | 1.19184 | − | 3.66812i | 0.260081 | − | 0.800448i | ||||
\(22\) | −1.26170 | − | 0.409950i | −0.268995 | − | 0.0874017i | ||||
\(23\) | −0.216662 | − | 0.298210i | −0.0451771 | − | 0.0621810i | 0.785831 | − | 0.618442i | \(-0.212236\pi\) |
−0.831008 | + | 0.556261i | \(0.812236\pi\) | |||||||
\(24\) | 2.35627 | 0.480971 | ||||||||
\(25\) | −4.76907 | + | 1.50200i | −0.953813 | + | 0.300400i | ||||
\(26\) | 9.30247 | 1.82436 | ||||||||
\(27\) | 0.0487863 | + | 0.0671486i | 0.00938893 | + | 0.0129227i | ||||
\(28\) | −2.22728 | − | 0.723686i | −0.420915 | − | 0.136764i | ||||
\(29\) | 0.695032 | − | 2.13909i | 0.129064 | − | 0.397219i | −0.865555 | − | 0.500813i | \(-0.833034\pi\) |
0.994620 | + | 0.103594i | \(0.0330344\pi\) | |||||||
\(30\) | 9.10305 | − | 4.58649i | 1.66198 | − | 0.837375i | ||||
\(31\) | 0.289000 | + | 0.889451i | 0.0519059 | + | 0.159750i | 0.973649 | − | 0.228050i | \(-0.0732350\pi\) |
−0.921743 | + | 0.387800i | \(0.873235\pi\) | |||||||
\(32\) | − | 6.96660i | − | 1.23153i | ||||||
\(33\) | −1.65125 | + | 0.536525i | −0.287447 | + | 0.0933970i | ||||
\(34\) | 1.12005 | + | 0.813767i | 0.192088 | + | 0.139560i | ||||
\(35\) | 3.48984 | − | 0.536566i | 0.589891 | − | 0.0906963i | ||||
\(36\) | −3.55881 | + | 2.58563i | −0.593135 | + | 0.430938i | ||||
\(37\) | 3.32764 | − | 4.58011i | 0.547061 | − | 0.752965i | −0.442549 | − | 0.896744i | \(-0.645926\pi\) |
0.989610 | + | 0.143780i | \(0.0459257\pi\) | |||||||
\(38\) | 1.09699 | − | 1.50988i | 0.177955 | − | 0.244934i | ||||
\(39\) | 9.84951 | − | 7.15609i | 1.57718 | − | 1.14589i | ||||
\(40\) | 0.970592 | + | 1.92639i | 0.153464 | + | 0.304588i | ||||
\(41\) | −3.01068 | − | 2.18739i | −0.470190 | − | 0.341613i | 0.327326 | − | 0.944912i | \(-0.393853\pi\) |
−0.797515 | + | 0.603299i | \(0.793853\pi\) | |||||||
\(42\) | −6.84584 | + | 2.22435i | −1.05634 | + | 0.343224i | ||||
\(43\) | − | 1.75667i | − | 0.267890i | −0.990989 | − | 0.133945i | \(-0.957236\pi\) | ||
0.990989 | − | 0.133945i | \(-0.0427645\pi\) | |||||||
\(44\) | 0.325777 | + | 1.00264i | 0.0491128 | + | 0.151154i | ||||
\(45\) | 3.03766 | − | 5.89567i | 0.452828 | − | 0.878875i | ||||
\(46\) | −0.212584 | + | 0.654265i | −0.0313438 | + | 0.0964662i | ||||
\(47\) | 12.9339 | + | 4.20249i | 1.88661 | + | 0.612996i | 0.982680 | + | 0.185312i | \(0.0593295\pi\) |
0.903928 | + | 0.427684i | \(0.140671\pi\) | |||||||
\(48\) | −6.84337 | − | 9.41909i | −0.987756 | − | 1.35953i | ||||
\(49\) | 4.50662 | 0.643803 | ||||||||
\(50\) | 7.49945 | + | 5.55302i | 1.06058 | + | 0.785315i | ||||
\(51\) | 1.81192 | 0.253720 | ||||||||
\(52\) | −4.34517 | − | 5.98061i | −0.602566 | − | 0.829361i | ||||
\(53\) | −9.93925 | − | 3.22946i | −1.36526 | − | 0.443600i | −0.467465 | − | 0.884012i | \(-0.654833\pi\) |
−0.897796 | + | 0.440411i | \(0.854833\pi\) | |||||||
\(54\) | 0.0478680 | − | 0.147322i | 0.00651401 | − | 0.0200481i | ||||
\(55\) | −1.11882 | − | 1.12899i | −0.150862 | − | 0.152233i | ||||
\(56\) | −0.470716 | − | 1.44871i | −0.0629021 | − | 0.193593i | ||||
\(57\) | − | 2.44254i | − | 0.323523i | ||||||
\(58\) | −3.99220 | + | 1.29714i | −0.524202 | + | 0.170323i | ||||
\(59\) | 6.19938 | + | 4.50411i | 0.807090 | + | 0.586386i | 0.912986 | − | 0.407992i | \(-0.133771\pi\) |
−0.105895 | + | 0.994377i | \(0.533771\pi\) | |||||||
\(60\) | −7.20070 | − | 3.71006i | −0.929607 | − | 0.478967i | ||||
\(61\) | −10.4321 | + | 7.57939i | −1.33570 | + | 0.970441i | −0.336107 | + | 0.941824i | \(0.609110\pi\) |
−0.999590 | + | 0.0286174i | \(0.990890\pi\) | |||||||
\(62\) | 1.02593 | − | 1.41207i | 0.130293 | − | 0.179333i | ||||
\(63\) | −2.75288 | + | 3.78901i | −0.346830 | + | 0.477371i | ||||
\(64\) | −2.80618 | + | 2.03881i | −0.350772 | + | 0.254851i | ||||
\(65\) | 9.90773 | + | 5.10482i | 1.22890 | + | 0.633175i | ||||
\(66\) | 2.62149 | + | 1.90463i | 0.322684 | + | 0.234443i | ||||
\(67\) | −6.89610 | + | 2.24068i | −0.842493 | + | 0.273743i | −0.698298 | − | 0.715807i | \(-0.746059\pi\) |
−0.144195 | + | 0.989549i | \(0.546059\pi\) | |||||||
\(68\) | − | 1.10020i | − | 0.133419i | ||||||
\(69\) | 0.278220 | + | 0.856274i | 0.0334938 | + | 0.103083i | ||||
\(70\) | −4.63847 | − | 4.68062i | −0.554403 | − | 0.559441i | ||||
\(71\) | −3.83012 | + | 11.7879i | −0.454551 | + | 1.39896i | 0.417110 | + | 0.908856i | \(0.363043\pi\) |
−0.871661 | + | 0.490109i | \(0.836957\pi\) | |||||||
\(72\) | −2.72121 | − | 0.884176i | −0.320698 | − | 0.104201i | ||||
\(73\) | 3.88381 | + | 5.34561i | 0.454566 | + | 0.625656i | 0.973371 | − | 0.229236i | \(-0.0736228\pi\) |
−0.518805 | + | 0.854893i | \(0.673623\pi\) | |||||||
\(74\) | −10.5658 | −1.22825 | ||||||||
\(75\) | 12.2122 | + | 0.110484i | 1.41015 | + | 0.0127576i | ||||
\(76\) | −1.48311 | −0.170124 | ||||||||
\(77\) | 0.659749 | + | 0.908066i | 0.0751853 | + | 0.103484i | ||||
\(78\) | −21.6096 | − | 7.02139i | −2.44681 | − | 0.795016i | ||||
\(79\) | −2.85625 | + | 8.79062i | −0.321353 | + | 0.989022i | 0.651707 | + | 0.758471i | \(0.274053\pi\) |
−0.973060 | + | 0.230552i | \(0.925947\pi\) | |||||||
\(80\) | 4.88174 | − | 9.47477i | 0.545796 | − | 1.05931i | ||||
\(81\) | −2.81230 | − | 8.65536i | −0.312478 | − | 0.961707i | ||||
\(82\) | 6.94530i | 0.766980i | ||||||||
\(83\) | 7.75155 | − | 2.51863i | 0.850844 | − | 0.276456i | 0.149044 | − | 0.988831i | \(-0.452380\pi\) |
0.701799 | + | 0.712375i | \(0.252380\pi\) | |||||||
\(84\) | 4.62772 | + | 3.36224i | 0.504926 | + | 0.366850i | ||||
\(85\) | 0.746367 | + | 1.48135i | 0.0809549 | + | 0.160675i | ||||
\(86\) | −2.65235 | + | 1.92705i | −0.286011 | + | 0.207799i | ||||
\(87\) | −3.22911 | + | 4.44449i | −0.346197 | + | 0.476500i | ||||
\(88\) | −0.403057 | + | 0.554760i | −0.0429660 | + | 0.0591376i | ||||
\(89\) | −10.9490 | + | 7.95488i | −1.16059 | + | 0.843215i | −0.989852 | − | 0.142102i | \(-0.954614\pi\) |
−0.170734 | + | 0.985317i | \(0.554614\pi\) | |||||||
\(90\) | −12.2340 | + | 1.88099i | −1.28958 | + | 0.198274i | ||||
\(91\) | −6.36747 | − | 4.62624i | −0.667492 | − | 0.484961i | ||||
\(92\) | 0.519928 | − | 0.168935i | 0.0542063 | − | 0.0176127i | ||||
\(93\) | − | 2.28433i | − | 0.236873i | ||||||
\(94\) | −7.84314 | − | 24.1387i | −0.808959 | − | 2.48972i | ||||
\(95\) | 1.99692 | − | 1.00613i | 0.204880 | − | 0.103227i | ||||
\(96\) | −5.25830 | + | 16.1834i | −0.536673 | + | 1.65171i | ||||
\(97\) | 2.30248 | + | 0.748120i | 0.233781 | + | 0.0759600i | 0.423565 | − | 0.905866i | \(-0.360779\pi\) |
−0.189784 | + | 0.981826i | \(0.560779\pi\) | |||||||
\(98\) | −4.94371 | − | 6.80443i | −0.499390 | − | 0.687352i | ||||
\(99\) | 2.10833 | 0.211896 | ||||||||
\(100\) | 0.0670860 | − | 7.41524i | 0.00670860 | − | 0.741524i | ||||
\(101\) | 8.77553 | 0.873198 | 0.436599 | − | 0.899656i | \(-0.356183\pi\) | ||||
0.436599 | + | 0.899656i | \(0.356183\pi\) | |||||||
\(102\) | −1.98766 | − | 2.73578i | −0.196808 | − | 0.270883i | ||||
\(103\) | 9.59211 | + | 3.11666i | 0.945138 | + | 0.307094i | 0.740739 | − | 0.671793i | \(-0.234476\pi\) |
0.204400 | + | 0.978887i | \(0.434476\pi\) | |||||||
\(104\) | 1.48586 | − | 4.57302i | 0.145701 | − | 0.448422i | ||||
\(105\) | −8.51189 | − | 1.38765i | −0.830675 | − | 0.135421i | ||||
\(106\) | 6.02717 | + | 18.5497i | 0.585410 | + | 1.80171i | ||||
\(107\) | − | 2.24001i | − | 0.216550i | −0.994121 | − | 0.108275i | \(-0.965467\pi\) | ||
0.994121 | − | 0.108275i | \(-0.0345328\pi\) | |||||||
\(108\) | −0.117074 | + | 0.0380395i | −0.0112654 | + | 0.00366035i | ||||
\(109\) | −0.677401 | − | 0.492161i | −0.0648832 | − | 0.0471404i | 0.554871 | − | 0.831936i | \(-0.312768\pi\) |
−0.619754 | + | 0.784796i | \(0.712768\pi\) | |||||||
\(110\) | −0.477300 | + | 2.92778i | −0.0455088 | + | 0.279153i | ||||
\(111\) | −11.1871 | + | 8.12791i | −1.06183 | + | 0.771467i | ||||
\(112\) | −4.42407 | + | 6.08921i | −0.418036 | + | 0.575377i | ||||
\(113\) | −8.04188 | + | 11.0687i | −0.756516 | + | 1.04126i | 0.240980 | + | 0.970530i | \(0.422531\pi\) |
−0.997496 | + | 0.0707251i | \(0.977469\pi\) | |||||||
\(114\) | −3.68794 | + | 2.67944i | −0.345407 | + | 0.250953i | ||||
\(115\) | −0.585450 | + | 0.580177i | −0.0545935 | + | 0.0541018i | ||||
\(116\) | 2.69869 | + | 1.96071i | 0.250567 | + | 0.182048i | ||||
\(117\) | −14.0603 | + | 4.56847i | −1.29988 | + | 0.422355i | ||||
\(118\) | − | 14.3013i | − | 1.31654i | ||||||
\(119\) | −0.361972 | − | 1.11403i | −0.0331819 | − | 0.102123i | ||||
\(120\) | −0.800670 | − | 5.20758i | −0.0730908 | − | 0.475385i | ||||
\(121\) | −3.24305 | + | 9.98107i | −0.294822 | + | 0.907370i | ||||
\(122\) | 22.8879 | + | 7.43672i | 2.07217 | + | 0.673289i | ||||
\(123\) | 5.34279 | + | 7.35372i | 0.481743 | + | 0.663063i | ||||
\(124\) | −1.38704 | −0.124560 | ||||||||
\(125\) | 4.94012 | + | 10.0297i | 0.441858 | + | 0.897085i | ||||
\(126\) | 8.74081 | 0.778694 | ||||||||
\(127\) | 5.99644 | + | 8.25339i | 0.532098 | + | 0.732370i | 0.987448 | − | 0.157942i | \(-0.0504861\pi\) |
−0.455351 | + | 0.890312i | \(0.650486\pi\) | |||||||
\(128\) | −7.09458 | − | 2.30517i | −0.627078 | − | 0.203750i | ||||
\(129\) | −1.32591 | + | 4.08074i | −0.116740 | + | 0.359289i | ||||
\(130\) | −3.16102 | − | 20.5594i | −0.277240 | − | 1.80318i | ||||
\(131\) | 2.29959 | + | 7.07741i | 0.200916 | + | 0.618356i | 0.999856 | + | 0.0169459i | \(0.00539431\pi\) |
−0.798940 | + | 0.601410i | \(0.794606\pi\) | |||||||
\(132\) | − | 2.57502i | − | 0.224127i | ||||||
\(133\) | −1.50176 | + | 0.487952i | −0.130219 | + | 0.0423108i | ||||
\(134\) | 10.9481 | + | 7.95426i | 0.945771 | + | 0.687143i | ||||
\(135\) | 0.131827 | − | 0.130640i | 0.0113459 | − | 0.0112437i | ||||
\(136\) | 0.578946 | − | 0.420629i | 0.0496442 | − | 0.0360686i | ||||
\(137\) | 1.60511 | − | 2.20925i | 0.137134 | − | 0.188749i | −0.734927 | − | 0.678147i | \(-0.762783\pi\) |
0.872061 | + | 0.489398i | \(0.162783\pi\) | |||||||
\(138\) | 0.987663 | − | 1.35940i | 0.0840754 | − | 0.115720i | ||||
\(139\) | −9.93926 | + | 7.22129i | −0.843037 | + | 0.612502i | −0.923217 | − | 0.384278i | \(-0.874450\pi\) |
0.0801807 | + | 0.996780i | \(0.474450\pi\) | |||||||
\(140\) | −0.842578 | + | 5.16841i | −0.0712108 | + | 0.436810i | ||||
\(141\) | −26.8735 | − | 19.5247i | −2.26316 | − | 1.64428i | ||||
\(142\) | 21.9998 | − | 7.14818i | 1.84619 | − | 0.599862i | ||||
\(143\) | 3.54307i | 0.296287i | ||||||||
\(144\) | 4.36883 | + | 13.4459i | 0.364069 | + | 1.12049i | ||||
\(145\) | −4.96377 | − | 0.809217i | −0.412219 | − | 0.0672018i | ||||
\(146\) | 3.81071 | − | 11.7282i | 0.315376 | − | 0.970629i | ||||
\(147\) | −10.4689 | − | 3.40154i | −0.863457 | − | 0.280554i | ||||
\(148\) | 4.93526 | + | 6.79280i | 0.405676 | + | 0.558364i | ||||
\(149\) | 6.94397 | 0.568873 | 0.284436 | − | 0.958695i | \(-0.408194\pi\) | ||||
0.284436 | + | 0.958695i | \(0.408194\pi\) | |||||||
\(150\) | −13.2298 | − | 18.5601i | −1.08021 | − | 1.51543i | ||||
\(151\) | −4.39870 | −0.357962 | −0.178981 | − | 0.983853i | \(-0.557280\pi\) | ||||
−0.178981 | + | 0.983853i | \(0.557280\pi\) | |||||||
\(152\) | −0.567023 | − | 0.780441i | −0.0459917 | − | 0.0633021i | ||||
\(153\) | −2.09256 | − | 0.679914i | −0.169174 | − | 0.0549678i | ||||
\(154\) | 0.647330 | − | 1.99228i | 0.0521633 | − | 0.160542i | ||||
\(155\) | 1.86757 | − | 0.940958i | 0.150007 | − | 0.0755795i | ||||
\(156\) | 5.57972 | + | 17.1726i | 0.446735 | + | 1.37491i | ||||
\(157\) | − | 14.5764i | − | 1.16332i | −0.813431 | − | 0.581661i | \(-0.802403\pi\) | ||
0.813431 | − | 0.581661i | \(-0.197597\pi\) | |||||||
\(158\) | 16.4060 | − | 5.33064i | 1.30519 | − | 0.424083i | ||||
\(159\) | 20.6513 | + | 15.0040i | 1.63775 | + | 1.18990i | ||||
\(160\) | −15.3969 | + | 2.36728i | −1.21723 | + | 0.187150i | ||||
\(161\) | 0.470886 | − | 0.342119i | 0.0371110 | − | 0.0269627i | ||||
\(162\) | −9.98346 | + | 13.7411i | −0.784375 | + | 1.07960i | ||||
\(163\) | −7.90999 | + | 10.8872i | −0.619559 | + | 0.852749i | −0.997321 | − | 0.0731534i | \(-0.976694\pi\) |
0.377762 | + | 0.925903i | \(0.376694\pi\) | |||||||
\(164\) | 4.46517 | − | 3.24414i | 0.348671 | − | 0.253324i | ||||
\(165\) | 1.74688 | + | 3.46712i | 0.135994 | + | 0.269915i | ||||
\(166\) | −12.3062 | − | 8.94097i | −0.955146 | − | 0.693954i | ||||
\(167\) | 13.3363 | − | 4.33324i | 1.03200 | − | 0.335316i | 0.256417 | − | 0.966566i | \(-0.417458\pi\) |
0.775579 | + | 0.631250i | \(0.217458\pi\) | |||||||
\(168\) | 3.72065i | 0.287054i | ||||||||
\(169\) | −3.66014 | − | 11.2647i | −0.281549 | − | 0.866519i | ||||
\(170\) | 1.41791 | − | 2.75195i | 0.108748 | − | 0.211065i | ||||
\(171\) | −0.916550 | + | 2.82085i | −0.0700904 | + | 0.215716i | ||||
\(172\) | 2.47782 | + | 0.805092i | 0.188932 | + | 0.0613877i | ||||
\(173\) | 3.78326 | + | 5.20721i | 0.287636 | + | 0.395897i | 0.928245 | − | 0.371971i | \(-0.121318\pi\) |
−0.640608 | + | 0.767868i | \(0.721318\pi\) | |||||||
\(174\) | 10.2529 | 0.777273 | ||||||||
\(175\) | −2.37173 | − | 7.53057i | −0.179286 | − | 0.569257i | ||||
\(176\) | 3.38824 | 0.255398 | ||||||||
\(177\) | −11.0015 | − | 15.1423i | −0.826923 | − | 1.13816i | ||||
\(178\) | 24.0218 | + | 7.80514i | 1.80051 | + | 0.585020i | ||||
\(179\) | 3.51229 | − | 10.8097i | 0.262521 | − | 0.807957i | −0.729733 | − | 0.683732i | \(-0.760356\pi\) |
0.992254 | − | 0.124225i | \(-0.0396443\pi\) | |||||||
\(180\) | 6.92379 | + | 6.98671i | 0.516069 | + | 0.520759i | ||||
\(181\) | −2.68276 | − | 8.25667i | −0.199408 | − | 0.613714i | −0.999897 | − | 0.0143664i | \(-0.995427\pi\) |
0.800489 | − | 0.599347i | \(-0.204573\pi\) | |||||||
\(182\) | 14.6890i | 1.08882i | ||||||||
\(183\) | 29.9546 | − | 9.73285i | 2.21431 | − | 0.719473i | ||||
\(184\) | 0.287676 | + | 0.209009i | 0.0212078 | + | 0.0154083i | ||||
\(185\) | −11.2532 | − | 5.79807i | −0.827354 | − | 0.426283i | ||||
\(186\) | −3.44905 | + | 2.50588i | −0.252896 | + | 0.183740i | ||||
\(187\) | −0.309943 | + | 0.426600i | −0.0226653 | + | 0.0311961i | ||||
\(188\) | −11.8554 | + | 16.3176i | −0.864644 | + | 1.19008i | ||||
\(189\) | −0.106031 | + | 0.0770357i | −0.00771259 | + | 0.00560352i | ||||
\(190\) | −3.70973 | − | 1.91139i | −0.269132 | − | 0.138667i | ||||
\(191\) | −7.44314 | − | 5.40776i | −0.538567 | − | 0.391292i | 0.284986 | − | 0.958532i | \(-0.408011\pi\) |
−0.823553 | + | 0.567240i | \(0.808011\pi\) | |||||||
\(192\) | 8.05760 | − | 2.61807i | 0.581507 | − | 0.188943i | ||||
\(193\) | 21.4959i | 1.54731i | 0.633608 | + | 0.773654i | \(0.281573\pi\) | ||||
−0.633608 | + | 0.773654i | \(0.718427\pi\) | |||||||
\(194\) | −1.39622 | − | 4.29713i | −0.100243 | − | 0.308516i | ||||
\(195\) | −19.1626 | − | 19.3367i | −1.37226 | − | 1.38473i | ||||
\(196\) | −2.06541 | + | 6.35668i | −0.147529 | + | 0.454049i | ||||
\(197\) | −6.83153 | − | 2.21970i | −0.486726 | − | 0.158147i | 0.0553657 | − | 0.998466i | \(-0.482368\pi\) |
−0.542092 | + | 0.840319i | \(0.682368\pi\) | |||||||
\(198\) | −2.31282 | − | 3.18332i | −0.164365 | − | 0.226229i | ||||
\(199\) | 14.2342 | 1.00903 | 0.504516 | − | 0.863402i | \(-0.331671\pi\) | ||||
0.504516 | + | 0.863402i | \(0.331671\pi\) | |||||||
\(200\) | 3.92769 | − | 2.79970i | 0.277730 | − | 0.197969i | ||||
\(201\) | 17.7109 | 1.24923 | ||||||||
\(202\) | −9.62666 | − | 13.2500i | −0.677329 | − | 0.932264i | ||||
\(203\) | 3.37772 | + | 1.09749i | 0.237069 | + | 0.0770284i | ||||
\(204\) | −0.830416 | + | 2.55576i | −0.0581407 | + | 0.178939i | ||||
\(205\) | −3.81130 | + | 7.39719i | −0.266193 | + | 0.516642i | ||||
\(206\) | −5.81666 | − | 17.9018i | −0.405266 | − | 1.24728i | ||||
\(207\) | − | 1.09330i | − | 0.0759894i | ||||||
\(208\) | −22.5959 | + | 7.34186i | −1.56675 | + | 0.509067i | ||||
\(209\) | 0.575073 | + | 0.417815i | 0.0397786 | + | 0.0289009i | ||||
\(210\) | 7.24227 | + | 14.3741i | 0.499764 | + | 0.991909i | ||||
\(211\) | 6.80211 | − | 4.94202i | 0.468277 | − | 0.340223i | −0.328493 | − | 0.944507i | \(-0.606541\pi\) |
0.796769 | + | 0.604284i | \(0.206541\pi\) | |||||||
\(212\) | 9.11044 | − | 12.5394i | 0.625707 | − | 0.861212i | ||||
\(213\) | 17.7947 | − | 24.4923i | 1.21927 | − | 1.67818i | ||||
\(214\) | −3.38214 | + | 2.45727i | −0.231199 | + | 0.167976i | ||||
\(215\) | −3.88241 | + | 0.596924i | −0.264778 | + | 0.0407099i | ||||
\(216\) | −0.0647767 | − | 0.0470631i | −0.00440750 | − | 0.00320224i | ||||
\(217\) | −1.40448 | + | 0.456344i | −0.0953425 | + | 0.0309786i | ||||
\(218\) | 1.56269i | 0.105838i | ||||||||
\(219\) | −4.98729 | − | 15.3493i | −0.337010 | − | 1.03721i | ||||
\(220\) | 2.10523 | − | 1.06070i | 0.141935 | − | 0.0715125i | ||||
\(221\) | 1.14260 | − | 3.51657i | 0.0768597 | − | 0.236550i | ||||
\(222\) | 24.5443 | + | 7.97491i | 1.64730 | + | 0.535241i | ||||
\(223\) | 1.16785 | + | 1.60740i | 0.0782048 | + | 0.107640i | 0.846327 | − | 0.532663i | \(-0.178809\pi\) |
−0.768122 | + | 0.640303i | \(0.778809\pi\) | |||||||
\(224\) | 11.0006 | 0.735007 | ||||||||
\(225\) | −14.0622 | − | 4.71016i | −0.937481 | − | 0.314011i | ||||
\(226\) | 25.5342 | 1.69851 | ||||||||
\(227\) | −9.21392 | − | 12.6819i | −0.611549 | − | 0.841726i | 0.385154 | − | 0.922852i | \(-0.374148\pi\) |
−0.996704 | + | 0.0811265i | \(0.974148\pi\) | |||||||
\(228\) | 3.44526 | + | 1.11943i | 0.228168 | + | 0.0741362i | ||||
\(229\) | 8.25569 | − | 25.4084i | 0.545551 | − | 1.67903i | −0.174124 | − | 0.984724i | \(-0.555709\pi\) |
0.719675 | − | 0.694311i | \(-0.244291\pi\) | |||||||
\(230\) | 1.51823 | + | 0.247509i | 0.100109 | + | 0.0163202i | ||||
\(231\) | −0.847197 | − | 2.60740i | −0.0557415 | − | 0.171555i | ||||
\(232\) | 2.16972i | 0.142449i | ||||||||
\(233\) | −19.0808 | + | 6.19974i | −1.25003 | + | 0.406159i | −0.857931 | − | 0.513765i | \(-0.828250\pi\) |
−0.392097 | + | 0.919924i | \(0.628250\pi\) | |||||||
\(234\) | 22.3218 | + | 16.2178i | 1.45922 | + | 1.06019i | ||||
\(235\) | 4.89291 | − | 30.0133i | 0.319178 | − | 1.95785i | ||||
\(236\) | −9.19436 | + | 6.68009i | −0.598502 | + | 0.434837i | ||||
\(237\) | 13.2701 | − | 18.2647i | 0.861986 | − | 1.18642i | ||||
\(238\) | −1.28497 | + | 1.76862i | −0.0832925 | + | 0.114642i | ||||
\(239\) | −18.9980 | + | 13.8028i | −1.22888 | + | 0.892831i | −0.996805 | − | 0.0798678i | \(-0.974550\pi\) |
−0.232071 | + | 0.972699i | \(0.574550\pi\) | |||||||
\(240\) | −18.4917 | + | 18.3252i | −1.19363 | + | 1.18288i | ||||
\(241\) | −8.81784 | − | 6.40654i | −0.568007 | − | 0.412681i | 0.266373 | − | 0.963870i | \(-0.414175\pi\) |
−0.834381 | + | 0.551188i | \(0.814175\pi\) | |||||||
\(242\) | 18.6278 | − | 6.05253i | 1.19744 | − | 0.389071i | ||||
\(243\) | 21.9801i | 1.41002i | ||||||||
\(244\) | −5.90978 | − | 18.1884i | −0.378335 | − | 1.16439i | ||||
\(245\) | −1.53137 | − | 9.96007i | −0.0978356 | − | 0.636325i | ||||
\(246\) | 5.24222 | − | 16.1339i | 0.334232 | − | 1.02866i | ||||
\(247\) | −4.74047 | − | 1.54027i | −0.301629 | − | 0.0980051i | ||||
\(248\) | −0.530294 | − | 0.729887i | −0.0336737 | − | 0.0463479i | ||||
\(249\) | −19.9079 | −1.26161 | ||||||||
\(250\) | 9.72436 | − | 18.4615i | 0.615023 | − | 1.16761i | ||||
\(251\) | 2.20070 | 0.138907 | 0.0694534 | − | 0.997585i | \(-0.477874\pi\) | ||||
0.0694534 | + | 0.997585i | \(0.477874\pi\) | |||||||
\(252\) | −4.08282 | − | 5.61952i | −0.257193 | − | 0.353996i | ||||
\(253\) | −0.249193 | − | 0.0809677i | −0.0156666 | − | 0.00509040i | ||||
\(254\) | 5.88356 | − | 18.1078i | 0.369168 | − | 1.13618i | ||||
\(255\) | −0.615700 | − | 4.00453i | −0.0385566 | − | 0.250773i | ||||
\(256\) | 6.44588 | + | 19.8384i | 0.402868 | + | 1.23990i | ||||
\(257\) | − | 1.76868i | − | 0.110327i | −0.998477 | − | 0.0551636i | \(-0.982432\pi\) | ||
0.998477 | − | 0.0551636i | \(-0.0175680\pi\) | |||||||
\(258\) | 7.61592 | − | 2.47456i | 0.474146 | − | 0.154059i | ||||
\(259\) | 7.23219 | + | 5.25449i | 0.449386 | + | 0.326498i | ||||
\(260\) | −11.7412 | + | 11.6355i | −0.728160 | + | 0.721602i | ||||
\(261\) | 5.39702 | − | 3.92116i | 0.334067 | − | 0.242714i | ||||
\(262\) | 8.16339 | − | 11.2359i | 0.504336 | − | 0.694159i | ||||
\(263\) | −13.9802 | + | 19.2421i | −0.862058 | + | 1.18652i | 0.119017 | + | 0.992892i | \(0.462026\pi\) |
−0.981075 | + | 0.193629i | \(0.937974\pi\) | |||||||
\(264\) | 1.35503 | − | 0.984484i | 0.0833961 | − | 0.0605908i | ||||
\(265\) | −3.76002 | + | 23.0641i | −0.230976 | + | 1.41682i | ||||
\(266\) | 2.38416 | + | 1.73219i | 0.146182 | + | 0.106208i | ||||
\(267\) | 31.4386 | − | 10.2150i | 1.92401 | − | 0.625149i | ||||
\(268\) | − | 10.7540i | − | 0.656906i | ||||||
\(269\) | 9.24399 | + | 28.4501i | 0.563616 | + | 1.73463i | 0.672028 | + | 0.740526i | \(0.265424\pi\) |
−0.108412 | + | 0.994106i | \(0.534576\pi\) | |||||||
\(270\) | −0.341863 | − | 0.0557321i | −0.0208051 | − | 0.00339175i | ||||
\(271\) | −6.11475 | + | 18.8193i | −0.371445 | + | 1.14319i | 0.574401 | + | 0.818574i | \(0.305235\pi\) |
−0.945846 | + | 0.324615i | \(0.894765\pi\) | |||||||
\(272\) | −3.36290 | − | 1.09267i | −0.203905 | − | 0.0662529i | ||||
\(273\) | 11.2998 | + | 15.5528i | 0.683894 | + | 0.941299i | ||||
\(274\) | −5.09648 | −0.307890 | ||||||||
\(275\) | −2.11500 | + | 2.85635i | −0.127539 | + | 0.172244i | ||||
\(276\) | −1.33530 | −0.0803757 | ||||||||
\(277\) | 5.47019 | + | 7.52907i | 0.328672 | + | 0.452378i | 0.941090 | − | 0.338156i | \(-0.109803\pi\) |
−0.612418 | + | 0.790534i | \(0.709803\pi\) | |||||||
\(278\) | 21.8065 | + | 7.08536i | 1.30787 | + | 0.424952i | ||||
\(279\) | −0.857180 | + | 2.63813i | −0.0513180 | + | 0.157941i | ||||
\(280\) | −3.04185 | + | 1.53261i | −0.181785 | + | 0.0915909i | ||||
\(281\) | −2.77965 | − | 8.55489i | −0.165820 | − | 0.510342i | 0.833276 | − | 0.552858i | \(-0.186463\pi\) |
−0.999096 | + | 0.0425157i | \(0.986463\pi\) | |||||||
\(282\) | 61.9941i | 3.69169i | ||||||||
\(283\) | 25.6854 | − | 8.34570i | 1.52684 | − | 0.496100i | 0.579130 | − | 0.815235i | \(-0.303392\pi\) |
0.947709 | + | 0.319135i | \(0.103392\pi\) | |||||||
\(284\) | −14.8717 | − | 10.8049i | −0.882472 | − | 0.641154i | ||||
\(285\) | −5.39826 | + | 0.829987i | −0.319765 | + | 0.0491642i | ||||
\(286\) | 5.34960 | − | 3.88671i | 0.316329 | − | 0.229826i | ||||
\(287\) | 3.45398 | − | 4.75400i | 0.203882 | − | 0.280620i | ||||
\(288\) | 12.1455 | − | 16.7168i | 0.715678 | − | 0.985046i | ||||
\(289\) | −13.3081 | + | 9.66889i | −0.782829 | + | 0.568758i | ||||
\(290\) | 4.22338 | + | 8.38238i | 0.248006 | + | 0.492230i | ||||
\(291\) | −4.78397 | − | 3.47576i | −0.280441 | − | 0.203753i | ||||
\(292\) | −9.32007 | + | 3.02827i | −0.545416 | + | 0.177216i | ||||
\(293\) | 3.14290i | 0.183610i | 0.995777 | + | 0.0918052i | \(0.0292637\pi\) | ||||
−0.995777 | + | 0.0918052i | \(0.970736\pi\) | |||||||
\(294\) | 6.34832 | + | 19.5381i | 0.370242 | + | 1.13949i | ||||
\(295\) | 7.84795 | − | 15.2318i | 0.456926 | − | 0.886827i | ||||
\(296\) | −1.68765 | + | 5.19405i | −0.0980927 | + | 0.301898i | ||||
\(297\) | 0.0561114 | + | 0.0182317i | 0.00325591 | + | 0.00105791i | ||||
\(298\) | −7.61746 | − | 10.4845i | −0.441268 | − | 0.607353i | ||||
\(299\) | 1.83729 | 0.106253 | ||||||||
\(300\) | −5.75277 | + | 17.1750i | −0.332137 | + | 0.991596i | ||||
\(301\) | 2.77386 | 0.159883 | ||||||||
\(302\) | 4.82533 | + | 6.64150i | 0.277667 | + | 0.382175i | ||||
\(303\) | −20.3855 | − | 6.62366i | −1.17112 | − | 0.380519i | ||||
\(304\) | −1.47296 | + | 4.53331i | −0.0844802 | + | 0.260003i | ||||
\(305\) | 20.2961 | + | 20.4805i | 1.16215 | + | 1.17271i | ||||
\(306\) | 1.26893 | + | 3.90537i | 0.0725399 | + | 0.223255i | ||||
\(307\) | 21.3849i | 1.22050i | 0.792209 | + | 0.610249i | \(0.208931\pi\) | ||||
−0.792209 | + | 0.610249i | \(0.791069\pi\) | |||||||
\(308\) | −1.58321 | + | 0.514417i | −0.0902119 | + | 0.0293116i | ||||
\(309\) | −19.9300 | − | 14.4800i | −1.13378 | − | 0.823739i | ||||
\(310\) | −3.46943 | − | 1.78758i | −0.197051 | − | 0.101528i | ||||
\(311\) | 17.2160 | − | 12.5082i | 0.976231 | − | 0.709273i | 0.0193679 | − | 0.999812i | \(-0.493835\pi\) |
0.956863 | + | 0.290539i | \(0.0938346\pi\) | |||||||
\(312\) | −6.90332 | + | 9.50160i | −0.390824 | + | 0.537922i | ||||
\(313\) | −8.21463 | + | 11.3065i | −0.464318 | + | 0.639079i | −0.975397 | − | 0.220454i | \(-0.929246\pi\) |
0.511079 | + | 0.859534i | \(0.329246\pi\) | |||||||
\(314\) | −22.0085 | + | 15.9901i | −1.24201 | + | 0.902376i | ||||
\(315\) | 9.30953 | + | 4.79661i | 0.524532 | + | 0.270258i | ||||
\(316\) | −11.0903 | − | 8.05759i | −0.623879 | − | 0.453275i | ||||
\(317\) | 5.43815 | − | 1.76696i | 0.305437 | − | 0.0992425i | −0.152288 | − | 0.988336i | \(-0.548664\pi\) |
0.457725 | + | 0.889094i | \(0.348664\pi\) | |||||||
\(318\) | − | 47.6402i | − | 2.67153i | ||||||
\(319\) | −0.494049 | − | 1.52053i | −0.0276614 | − | 0.0851332i | ||||
\(320\) | 5.45951 | + | 5.50913i | 0.305196 | + | 0.307970i | ||||
\(321\) | −1.69073 | + | 5.20355i | −0.0943676 | + | 0.290434i | ||||
\(322\) | −1.03311 | − | 0.335679i | −0.0575732 | − | 0.0187067i | ||||
\(323\) | −0.436030 | − | 0.600144i | −0.0242614 | − | 0.0333929i | ||||
\(324\) | 13.4975 | 0.749859 | ||||||||
\(325\) | 7.91547 | − | 23.6317i | 0.439071 | − | 1.31085i | ||||
\(326\) | 25.1155 | 1.39102 | ||||||||
\(327\) | 1.20212 | + | 1.65458i | 0.0664776 | + | 0.0914986i | ||||
\(328\) | 3.41425 | + | 1.10936i | 0.188521 | + | 0.0612541i | ||||
\(329\) | −6.63592 | + | 20.4233i | −0.365850 | + | 1.12597i | ||||
\(330\) | 3.31862 | − | 6.44096i | 0.182684 | − | 0.354563i | ||||
\(331\) | −4.87711 | − | 15.0102i | −0.268070 | − | 0.825036i | −0.990970 | − | 0.134083i | \(-0.957191\pi\) |
0.722900 | − | 0.690953i | \(-0.242809\pi\) | |||||||
\(332\) | 12.0880i | 0.663417i | ||||||||
\(333\) | 15.9697 | − | 5.18889i | 0.875137 | − | 0.284349i | ||||
\(334\) | −21.1725 | − | 15.3827i | −1.15851 | − | 0.841704i | ||||
\(335\) | 7.29545 | + | 14.4797i | 0.398593 | + | 0.791109i | ||||
\(336\) | 14.8732 | − | 10.8060i | 0.811398 | − | 0.589515i | ||||
\(337\) | 3.96048 | − | 5.45113i | 0.215741 | − | 0.296942i | −0.687406 | − | 0.726273i | \(-0.741251\pi\) |
0.903147 | + | 0.429331i | \(0.141251\pi\) | |||||||
\(338\) | −12.9932 | + | 17.8837i | −0.706739 | + | 0.972742i | ||||
\(339\) | 27.0358 | − | 19.6426i | 1.46838 | − | 1.06684i | ||||
\(340\) | −2.43155 | + | 0.373852i | −0.131869 | + | 0.0202750i | ||||
\(341\) | 0.537822 | + | 0.390751i | 0.0291247 | + | 0.0211603i | ||||
\(342\) | 5.26458 | − | 1.71057i | 0.284676 | − | 0.0924968i | ||||
\(343\) | 18.1695i | 0.981059i | ||||||||
\(344\) | 0.523666 | + | 1.61168i | 0.0282342 | + | 0.0868959i | ||||
\(345\) | 1.79791 | − | 0.905860i | 0.0967961 | − | 0.0487698i | ||||
\(346\) | 3.71205 | − | 11.4245i | 0.199561 | − | 0.614186i | ||||
\(347\) | −20.9025 | − | 6.79165i | −1.12211 | − | 0.364595i | −0.311535 | − | 0.950235i | \(-0.600843\pi\) |
−0.810571 | + | 0.585640i | \(0.800843\pi\) | |||||||
\(348\) | −4.78913 | − | 6.59167i | −0.256724 | − | 0.353351i | ||||
\(349\) | −21.4653 | −1.14901 | −0.574504 | − | 0.818502i | \(-0.694805\pi\) | ||||
−0.574504 | + | 0.818502i | \(0.694805\pi\) | |||||||
\(350\) | −8.76846 | + | 11.8420i | −0.468694 | + | 0.632980i | ||||
\(351\) | −0.413708 | −0.0220821 | ||||||||
\(352\) | −2.91075 | − | 4.00631i | −0.155144 | − | 0.213537i | ||||
\(353\) | −25.8143 | − | 8.38757i | −1.37396 | − | 0.446425i | −0.473278 | − | 0.880913i | \(-0.656929\pi\) |
−0.900678 | + | 0.434488i | \(0.856929\pi\) | |||||||
\(354\) | −10.7944 | + | 33.2218i | −0.573716 | + | 1.76572i | ||||
\(355\) | 27.3539 | + | 4.45936i | 1.45179 | + | 0.236678i | ||||
\(356\) | −6.20255 | − | 19.0895i | −0.328735 | − | 1.01174i | ||||
\(357\) | 2.86111i | 0.151426i | ||||||||
\(358\) | −20.1743 | + | 6.55502i | −1.06624 | + | 0.346444i | ||||
\(359\) | −15.0863 | − | 10.9609i | −0.796226 | − | 0.578492i | 0.113579 | − | 0.993529i | \(-0.463769\pi\) |
−0.909805 | + | 0.415037i | \(0.863769\pi\) | |||||||
\(360\) | −1.02943 | + | 6.31459i | −0.0542560 | + | 0.332808i | ||||
\(361\) | −0.809017 | + | 0.587785i | −0.0425798 | + | 0.0309361i | ||||
\(362\) | −9.52360 | + | 13.1081i | −0.500549 | + | 0.688947i | ||||
\(363\) | 15.0672 | − | 20.7382i | 0.790822 | − | 1.08847i | ||||
\(364\) | 9.44365 | − | 6.86121i | 0.494982 | − | 0.359625i | ||||
\(365\) | 10.4946 | − | 10.4001i | 0.549312 | − | 0.544365i | ||||
\(366\) | −47.5553 | − | 34.5509i | −2.48576 | − | 1.80601i | ||||
\(367\) | −18.1973 | + | 5.91265i | −0.949889 | + | 0.308638i | −0.742671 | − | 0.669657i | \(-0.766441\pi\) |
−0.207219 | + | 0.978295i | \(0.566441\pi\) | |||||||
\(368\) | − | 1.75701i | − | 0.0915903i | ||||||
\(369\) | −3.41086 | − | 10.4975i | −0.177562 | − | 0.546480i | ||||
\(370\) | 3.59030 | + | 23.3514i | 0.186651 | + | 1.21398i | ||||
\(371\) | 5.09946 | − | 15.6945i | 0.264751 | − | 0.814819i | ||||
\(372\) | 3.22209 | + | 1.04692i | 0.167057 | + | 0.0542803i | ||||
\(373\) | 0.602349 | + | 0.829062i | 0.0311885 | + | 0.0429272i | 0.824326 | − | 0.566115i | \(-0.191554\pi\) |
−0.793138 | + | 0.609042i | \(0.791554\pi\) | |||||||
\(374\) | 0.984117 | 0.0508875 | ||||||||
\(375\) | −3.90558 | − | 27.0277i | −0.201684 | − | 1.39571i | ||||
\(376\) | −13.1192 | −0.676570 | ||||||||
\(377\) | 6.58955 | + | 9.06974i | 0.339379 | + | 0.467115i | ||||
\(378\) | 0.232629 | + | 0.0755857i | 0.0119651 | + | 0.00388771i | ||||
\(379\) | 1.38662 | − | 4.26759i | 0.0712261 | − | 0.219211i | −0.909107 | − | 0.416564i | \(-0.863234\pi\) |
0.980333 | + | 0.197352i | \(0.0632343\pi\) | |||||||
\(380\) | 0.503967 | + | 3.27782i | 0.0258530 | + | 0.168148i | ||||
\(381\) | −7.70015 | − | 23.6986i | −0.394491 | − | 1.21412i | ||||
\(382\) | 17.1705i | 0.878518i | ||||||||
\(383\) | 19.4009 | − | 6.30374i | 0.991340 | − | 0.322106i | 0.231940 | − | 0.972730i | \(-0.425493\pi\) |
0.759400 | + | 0.650624i | \(0.225493\pi\) | |||||||
\(384\) | 14.7408 | + | 10.7098i | 0.752237 | + | 0.546532i | ||||
\(385\) | 1.78273 | − | 1.76667i | 0.0908563 | − | 0.0900380i | ||||
\(386\) | 32.4561 | − | 23.5808i | 1.65197 | − | 1.20023i | ||||
\(387\) | 3.06255 | − | 4.21523i | 0.155678 | − | 0.214272i | ||||
\(388\) | −2.11048 | + | 2.90482i | −0.107143 | + | 0.147470i | ||||
\(389\) | −27.4960 | + | 19.9770i | −1.39410 | + | 1.01287i | −0.398699 | + | 0.917082i | \(0.630538\pi\) |
−0.995401 | + | 0.0957917i | \(0.969462\pi\) | |||||||
\(390\) | −8.17491 | + | 50.1453i | −0.413953 | + | 2.53920i | ||||
\(391\) | 0.221218 | + | 0.160724i | 0.0111875 | + | 0.00812816i | ||||
\(392\) | −4.13466 | + | 1.34343i | −0.208832 | + | 0.0678535i | ||||
\(393\) | − | 18.1765i | − | 0.916883i | ||||||
\(394\) | 4.14264 | + | 12.7497i | 0.208703 | + | 0.642323i | ||||
\(395\) | 20.3987 | + | 3.32549i | 1.02637 | + | 0.167324i | ||||
\(396\) | −0.966262 | + | 2.97385i | −0.0485565 | + | 0.149442i | ||||
\(397\) | −10.6784 | − | 3.46963i | −0.535934 | − | 0.174136i | 0.0285304 | − | 0.999593i | \(-0.490917\pi\) |
−0.564464 | + | 0.825457i | \(0.690917\pi\) | |||||||
\(398\) | −15.6147 | − | 21.4918i | −0.782695 | − | 1.07729i | ||||
\(399\) | 3.85688 | 0.193086 | ||||||||
\(400\) | −22.5990 | − | 7.56957i | −1.12995 | − | 0.378478i | ||||
\(401\) | 33.3706 | 1.66645 | 0.833224 | − | 0.552936i | \(-0.186493\pi\) | ||||
0.833224 | + | 0.552936i | \(0.186493\pi\) | |||||||
\(402\) | −19.4286 | − | 26.7412i | −0.969011 | − | 1.33373i | ||||
\(403\) | −4.43340 | − | 1.44050i | −0.220843 | − | 0.0717563i | ||||
\(404\) | −4.02188 | + | 12.3781i | −0.200096 | + | 0.615832i | ||||
\(405\) | −18.1736 | + | 9.15659i | −0.903052 | + | 0.454994i | ||||
\(406\) | −2.04825 | − | 6.30386i | −0.101653 | − | 0.312855i | ||||
\(407\) | − | 4.02423i | − | 0.199474i | ||||||
\(408\) | −1.66237 | + | 0.540138i | −0.0822998 | + | 0.0267408i | ||||
\(409\) | 10.3604 | + | 7.52724i | 0.512287 | + | 0.372198i | 0.813690 | − | 0.581299i | \(-0.197455\pi\) |
−0.301404 | + | 0.953497i | \(0.597455\pi\) | |||||||
\(410\) | 15.3498 | − | 2.36004i | 0.758072 | − | 0.116554i | ||||
\(411\) | −5.39618 | + | 3.92056i | −0.266174 | + | 0.193387i | ||||
\(412\) | −8.79224 | + | 12.1015i | −0.433163 | + | 0.596197i | ||||
\(413\) | −7.11219 | + | 9.78910i | −0.349968 | + | 0.481690i | ||||
\(414\) | −1.65074 | + | 1.19933i | −0.0811295 | + | 0.0589441i | ||||
\(415\) | −8.20044 | − | 16.2759i | −0.402544 | − | 0.798950i | ||||
\(416\) | 28.0927 | + | 20.4105i | 1.37736 | + | 1.00071i | ||||
\(417\) | 28.5394 | − | 9.27301i | 1.39758 | − | 0.454101i | ||||
\(418\) | − | 1.32663i | − | 0.0648875i | ||||||
\(419\) | 6.59085 | + | 20.2845i | 0.321984 | + | 0.990965i | 0.972784 | + | 0.231715i | \(0.0744338\pi\) |
−0.650800 | + | 0.759250i | \(0.725566\pi\) | |||||||
\(420\) | 5.85836 | − | 11.3702i | 0.285858 | − | 0.554810i | ||||
\(421\) | −1.07170 | + | 3.29834i | −0.0522312 | + | 0.160751i | −0.973770 | − | 0.227536i | \(-0.926933\pi\) |
0.921538 | + | 0.388287i | \(0.126933\pi\) | |||||||
\(422\) | −14.9237 | − | 4.84900i | −0.726473 | − | 0.236046i | ||||
\(423\) | 23.7092 | + | 32.6329i | 1.15278 | + | 1.58667i | ||||
\(424\) | 10.0816 | 0.489606 | ||||||||
\(425\) | 3.02032 | − | 2.15292i | 0.146507 | − | 0.104432i | ||||
\(426\) | −56.5009 | −2.73748 | ||||||||
\(427\) | −11.9682 | − | 16.4728i | −0.579181 | − | 0.797175i | ||||
\(428\) | 3.15959 | + | 1.02661i | 0.152724 | + | 0.0496232i | ||||
\(429\) | 2.67427 | − | 8.23055i | 0.129115 | − | 0.397375i | ||||
\(430\) | 5.16024 | + | 5.20714i | 0.248849 | + | 0.251111i | ||||
\(431\) | −3.31377 | − | 10.1987i | −0.159619 | − | 0.491256i | 0.838981 | − | 0.544161i | \(-0.183152\pi\) |
−0.998600 | + | 0.0529049i | \(0.983152\pi\) | |||||||
\(432\) | 0.395629i | 0.0190347i | ||||||||
\(433\) | 26.8359 | − | 8.71951i | 1.28965 | − | 0.419033i | 0.417682 | − | 0.908593i | \(-0.362843\pi\) |
0.871969 | + | 0.489560i | \(0.162843\pi\) | |||||||
\(434\) | 2.22972 | + | 1.61999i | 0.107030 | + | 0.0777620i | ||||
\(435\) | 10.9200 | + | 5.62640i | 0.523576 | + | 0.269765i | ||||
\(436\) | 1.00466 | − | 0.729928i | 0.0481145 | − | 0.0349572i | ||||
\(437\) | 0.216662 | − | 0.298210i | 0.0103643 | − | 0.0142653i | ||||
\(438\) | −17.7045 | + | 24.3682i | −0.845955 | + | 1.16436i | ||||
\(439\) | −15.8021 | + | 11.4809i | −0.754194 | + | 0.547954i | −0.897124 | − | 0.441779i | \(-0.854348\pi\) |
0.142930 | + | 0.989733i | \(0.454348\pi\) | |||||||
\(440\) | 1.36304 | + | 0.702285i | 0.0649801 | + | 0.0334801i | ||||
\(441\) | 10.8139 | + | 7.85676i | 0.514948 | + | 0.374131i | ||||
\(442\) | −6.56300 | + | 2.13245i | −0.312170 | + | 0.101430i | ||||
\(443\) | − | 33.6627i | − | 1.59937i | −0.600423 | − | 0.799683i | \(-0.705001\pi\) | ||
0.600423 | − | 0.799683i | \(-0.294999\pi\) | |||||||
\(444\) | −6.33747 | − | 19.5047i | −0.300763 | − | 0.925653i | ||||
\(445\) | 21.3016 | + | 21.4951i | 1.00979 | + | 1.01897i | ||||
\(446\) | 1.14586 | − | 3.52661i | 0.0542583 | − | 0.166990i | ||||
\(447\) | −16.1308 | − | 5.24122i | −0.762962 | − | 0.247901i | ||||
\(448\) | −3.21936 | − | 4.43108i | −0.152101 | − | 0.209349i | ||||
\(449\) | −31.3512 | −1.47956 | −0.739778 | − | 0.672851i | \(-0.765069\pi\) | ||||
−0.739778 | + | 0.672851i | \(0.765069\pi\) | |||||||
\(450\) | 8.31435 | + | 26.3992i | 0.391942 | + | 1.24447i | ||||
\(451\) | −2.64529 | −0.124562 | ||||||||
\(452\) | −11.9270 | − | 16.4161i | −0.560998 | − | 0.772148i | ||||
\(453\) | 10.2182 | + | 3.32009i | 0.480092 | + | 0.155991i | ||||
\(454\) | −9.04049 | + | 27.8238i | −0.424291 | + | 1.30583i | ||||
\(455\) | −8.06074 | + | 15.6447i | −0.377893 | + | 0.733437i | ||||
\(456\) | 0.728127 | + | 2.24094i | 0.0340977 | + | 0.104942i | ||||
\(457\) | 17.2006i | 0.804611i | 0.915505 | + | 0.402306i | \(0.131791\pi\) | ||||
−0.915505 | + | 0.402306i | \(0.868209\pi\) | |||||||
\(458\) | −47.4199 | + | 15.4077i | −2.21579 | + | 0.719953i | ||||
\(459\) | −0.0498121 | − | 0.0361906i | −0.00232503 | − | 0.00168923i | ||||
\(460\) | −0.550037 | − | 1.09169i | −0.0256456 | − | 0.0509002i | ||||
\(461\) | −32.0798 | + | 23.3073i | −1.49411 | + | 1.08553i | −0.521449 | + | 0.853282i | \(0.674608\pi\) |
−0.972656 | + | 0.232249i | \(0.925392\pi\) | |||||||
\(462\) | −3.00749 | + | 4.13946i | −0.139921 | + | 0.192585i | ||||
\(463\) | −8.38871 | + | 11.5461i | −0.389857 | + | 0.536591i | −0.958162 | − | 0.286226i | \(-0.907599\pi\) |
0.568306 | + | 0.822818i | \(0.307599\pi\) | |||||||
\(464\) | 8.67340 | − | 6.30159i | 0.402652 | − | 0.292544i | ||||
\(465\) | −5.04858 | + | 0.776224i | −0.234122 | + | 0.0359965i | ||||
\(466\) | 30.2923 | + | 22.0087i | 1.40326 | + | 1.01953i | ||||
\(467\) | −11.4433 | + | 3.71815i | −0.529532 | + | 0.172055i | −0.561567 | − | 0.827431i | \(-0.689801\pi\) |
0.0320348 | + | 0.999487i | \(0.489801\pi\) | |||||||
\(468\) | − | 21.9261i | − | 1.01354i | ||||||
\(469\) | −3.53813 | − | 10.8893i | −0.163376 | − | 0.502819i | ||||
\(470\) | −50.6838 | + | 25.5366i | −2.33787 | + | 1.17791i | ||||
\(471\) | −11.0021 | + | 33.8609i | −0.506949 | + | 1.56023i | ||||
\(472\) | −7.03039 | − | 2.28431i | −0.323600 | − | 0.105144i | ||||
\(473\) | −0.733963 | − | 1.01021i | −0.0337477 | − | 0.0464497i | ||||
\(474\) | −42.1346 | −1.93531 | ||||||||
\(475\) | −2.90221 | − | 4.07151i | −0.133163 | − | 0.186814i | ||||
\(476\) | 1.73726 | 0.0796273 | ||||||||
\(477\) | −18.2196 | − | 25.0772i | −0.834220 | − | 1.14821i | ||||
\(478\) | 41.6811 | + | 13.5430i | 1.90645 | + | 0.619443i | ||||
\(479\) | −6.57331 | + | 20.2306i | −0.300342 | + | 0.924359i | 0.681032 | + | 0.732254i | \(0.261531\pi\) |
−0.981374 | + | 0.192105i | \(0.938469\pi\) | |||||||
\(480\) | 37.5537 | + | 6.12218i | 1.71408 | + | 0.279438i | ||||
\(481\) | 8.71997 | + | 26.8373i | 0.397596 | + | 1.22368i | ||||
\(482\) | 20.3418i | 0.926541i | ||||||||
\(483\) | −1.35209 | + | 0.439322i | −0.0615224 | + | 0.0199898i | ||||
\(484\) | −12.5922 | − | 9.14877i | −0.572373 | − | 0.415853i | ||||
\(485\) | 0.871026 | − | 5.34291i | 0.0395513 | − | 0.242609i | ||||
\(486\) | 33.1872 | − | 24.1119i | 1.50540 | − | 1.09374i | ||||
\(487\) | 12.6283 | − | 17.3814i | 0.572243 | − | 0.787625i | −0.420575 | − | 0.907258i | \(-0.638172\pi\) |
0.992818 | + | 0.119633i | \(0.0381717\pi\) | |||||||
\(488\) | 7.31167 | − | 10.0636i | 0.330984 | − | 0.455560i | ||||
\(489\) | 26.5924 | − | 19.3205i | 1.20255 | − | 0.873703i | ||||
\(490\) | −13.3586 | + | 13.2383i | −0.603479 | + | 0.598044i | ||||
\(491\) | −1.41936 | − | 1.03123i | −0.0640550 | − | 0.0465387i | 0.555297 | − | 0.831652i | \(-0.312605\pi\) |
−0.619352 | + | 0.785113i | \(0.712605\pi\) | |||||||
\(492\) | −12.8212 | + | 4.16586i | −0.578025 | + | 0.187812i | ||||
\(493\) | 1.66848i | 0.0751444i | ||||||||
\(494\) | 2.87462 | + | 8.84717i | 0.129335 | + | 0.398053i | ||||
\(495\) | −0.716421 | − | 4.65962i | −0.0322007 | − | 0.209435i | ||||
\(496\) | −1.37755 | + | 4.23966i | −0.0618538 | + | 0.190366i | ||||
\(497\) | −18.6136 | − | 6.04792i | −0.834934 | − | 0.271286i | ||||
\(498\) | 21.8387 | + | 30.0584i | 0.978616 | + | 1.34695i | ||||
\(499\) | 25.8999 | 1.15944 | 0.579720 | − | 0.814816i | \(-0.303162\pi\) | ||||
0.579720 | + | 0.814816i | \(0.303162\pi\) | |||||||
\(500\) | −16.4112 | + | 2.37147i | −0.733932 | + | 0.106055i | ||||
\(501\) | −34.2509 | −1.53022 | ||||||||
\(502\) | −2.41414 | − | 3.32278i | −0.107748 | − | 0.148303i | ||||
\(503\) | −32.4817 | − | 10.5539i | −1.44829 | − | 0.470577i | −0.523817 | − | 0.851831i | \(-0.675493\pi\) |
−0.924471 | + | 0.381253i | \(0.875493\pi\) | |||||||
\(504\) | 1.39615 | − | 4.29692i | 0.0621896 | − | 0.191400i | ||||
\(505\) | −2.98196 | − | 19.3948i | −0.132696 | − | 0.863057i | ||||
\(506\) | 0.151111 | + | 0.465071i | 0.00671769 | + | 0.0206749i | ||||
\(507\) | 28.9306i | 1.28485i | ||||||||
\(508\) | −14.3898 | + | 4.67552i | −0.638443 | + | 0.207443i | ||||
\(509\) | −17.8532 | − | 12.9711i | −0.791330 | − | 0.574935i | 0.117028 | − | 0.993129i | \(-0.462663\pi\) |
−0.908358 | + | 0.418194i | \(0.862663\pi\) | |||||||
\(510\) | −5.37093 | + | 5.32256i | −0.237829 | + | 0.235687i | ||||
\(511\) | −8.44096 | + | 6.13271i | −0.373406 | + | 0.271295i | ||||
\(512\) | 14.1131 | − | 19.4250i | 0.623715 | − | 0.858470i | ||||
\(513\) | −0.0487863 | + | 0.0671486i | −0.00215397 | + | 0.00296468i | ||||
\(514\) | −2.67049 | + | 1.94022i | −0.117790 | + | 0.0855795i | ||||
\(515\) | 3.62869 | − | 22.2586i | 0.159899 | − | 0.980829i | ||||
\(516\) | −5.14829 | − | 3.74045i | −0.226641 | − | 0.164664i | ||||
\(517\) | 9.19382 | − | 2.98725i | 0.404344 | − | 0.131379i | ||||
\(518\) | − | 16.6838i | − | 0.733045i | ||||||
\(519\) | −4.85817 | − | 14.9519i | −0.213250 | − | 0.656316i | ||||
\(520\) | −10.6117 | − | 1.72997i | −0.465355 | − | 0.0758644i | ||||
\(521\) | 12.0680 | − | 37.1415i | 0.528709 | − | 1.62720i | −0.228153 | − | 0.973625i | \(-0.573269\pi\) |
0.756863 | − | 0.653574i | \(-0.226731\pi\) | |||||||
\(522\) | −11.8409 | − | 3.84736i | −0.518264 | − | 0.168394i | ||||
\(523\) | −5.66916 | − | 7.80293i | −0.247895 | − | 0.341198i | 0.666878 | − | 0.745167i | \(-0.267630\pi\) |
−0.914773 | + | 0.403969i | \(0.867630\pi\) | |||||||
\(524\) | −11.0368 | −0.482143 | ||||||||
\(525\) | −0.174460 | + | 19.2836i | −0.00761405 | + | 0.841607i | ||||
\(526\) | 44.3894 | 1.93547 | ||||||||
\(527\) | −0.407786 | − | 0.561269i | −0.0177634 | − | 0.0244493i | ||||
\(528\) | −7.87088 | − | 2.55740i | −0.342536 | − | 0.111297i | ||||
\(529\) | 7.06540 | − | 21.7451i | 0.307191 | − | 0.945438i | ||||
\(530\) | 38.9486 | − | 19.6239i | 1.69182 | − | 0.852408i | ||||
\(531\) | 7.02339 | + | 21.6158i | 0.304789 | + | 0.938045i | ||||
\(532\) | − | 2.34190i | − | 0.101534i | ||||||
\(533\) | 17.6412 | − | 5.73198i | 0.764125 | − | 0.248279i | ||||
\(534\) | −49.9112 | − | 36.2626i | −2.15987 | − | 1.56924i | ||||
\(535\) | −4.95065 | + | 0.761167i | −0.214035 | + | 0.0329081i | ||||
\(536\) | 5.65897 | − | 4.11148i | 0.244430 | − | 0.177589i | ||||
\(537\) | −16.3181 | + | 22.4599i | −0.704178 | + | 0.969217i | ||||
\(538\) | 32.8155 | − | 45.1667i | 1.41478 | − | 1.94727i | ||||
\(539\) | 2.59164 | − | 1.88293i | 0.111630 | − | 0.0811037i | ||||
\(540\) | 0.123853 | + | 0.245818i | 0.00532979 | + | 0.0105783i | ||||
\(541\) | 33.1938 | + | 24.1167i | 1.42711 | + | 1.03686i | 0.990545 | + | 0.137185i | \(0.0438054\pi\) |
0.436566 | + | 0.899672i | \(0.356195\pi\) | |||||||
\(542\) | 35.1226 | − | 11.4120i | 1.50864 | − | 0.490188i | ||||
\(543\) | 21.2051i | 0.909999i | ||||||||
\(544\) | 1.59699 | + | 4.91502i | 0.0684702 | + | 0.210730i | ||||
\(545\) | −0.857539 | + | 1.66436i | −0.0367329 | + | 0.0712934i | ||||
\(546\) | 11.0871 | − | 34.1225i | 0.474483 | − | 1.46031i | ||||
\(547\) | −1.57414 | − | 0.511470i | −0.0673055 | − | 0.0218689i | 0.275171 | − | 0.961395i | \(-0.411266\pi\) |
−0.342476 | + | 0.939527i | \(0.611266\pi\) | |||||||
\(548\) | 2.38056 | + | 3.27656i | 0.101692 | + | 0.139968i | ||||
\(549\) | −38.2463 | −1.63231 | ||||||||
\(550\) | 6.63287 | + | 0.0600078i | 0.282826 | + | 0.00255874i | ||||
\(551\) | 2.24917 | 0.0958179 | ||||||||
\(552\) | −0.510514 | − | 0.702662i | −0.0217289 | − | 0.0299073i | ||||
\(553\) | −13.8808 | − | 4.51014i | −0.590271 | − | 0.191791i | ||||
\(554\) | 5.36722 | − | 16.5186i | 0.228031 | − | 0.701808i | ||||
\(555\) | 21.7649 | + | 21.9627i | 0.923869 | + | 0.932265i | ||||
\(556\) | −5.63056 | − | 17.3291i | −0.238789 | − | 0.734917i | ||||
\(557\) | − | 42.4409i | − | 1.79828i | −0.437661 | − | 0.899140i | \(-0.644193\pi\) | ||
0.437661 | − | 0.899140i | \(-0.355807\pi\) | |||||||
\(558\) | 4.92356 | − | 1.59976i | 0.208431 | − | 0.0677233i | ||||
\(559\) | 7.08374 | + | 5.14664i | 0.299610 | + | 0.217680i | ||||
\(560\) | 14.9611 | + | 7.70849i | 0.632221 | + | 0.325743i | ||||
\(561\) | 1.04199 | − | 0.757050i | 0.0439928 | − | 0.0319627i | ||||
\(562\) | −9.86758 | + | 13.5816i | −0.416239 | + | 0.572903i | ||||
\(563\) | 6.29897 | − | 8.66979i | 0.265470 | − | 0.365388i | −0.655384 | − | 0.755296i | \(-0.727493\pi\) |
0.920854 | + | 0.389908i | \(0.127493\pi\) | |||||||
\(564\) | 39.8563 | − | 28.9573i | 1.67825 | − | 1.21932i | ||||
\(565\) | 27.1956 | + | 14.0121i | 1.14413 | + | 0.589495i | ||||
\(566\) | −40.7776 | − | 29.6266i | −1.71401 | − | 1.24530i | ||||
\(567\) | 13.6672 | − | 4.44074i | 0.573969 | − | 0.186494i | ||||
\(568\) | − | 11.9567i | − | 0.501692i | ||||||
\(569\) | −12.7060 | − | 39.1051i | −0.532664 | − | 1.63937i | −0.748643 | − | 0.662973i | \(-0.769294\pi\) |
0.215979 | − | 0.976398i | \(-0.430706\pi\) | |||||||
\(570\) | 7.17501 | + | 7.24022i | 0.300528 | + | 0.303259i | ||||
\(571\) | −3.66515 | + | 11.2802i | −0.153382 | + | 0.472061i | −0.997993 | − | 0.0633191i | \(-0.979831\pi\) |
0.844612 | + | 0.535380i | \(0.179831\pi\) | |||||||
\(572\) | −4.99758 | − | 1.62381i | −0.208959 | − | 0.0678950i | ||||
\(573\) | 13.2087 | + | 18.1802i | 0.551801 | + | 0.759489i | ||||
\(574\) | −10.9669 | −0.457751 | ||||||||
\(575\) | 1.48119 | + | 1.09675i | 0.0617698 | + | 0.0457378i | ||||
\(576\) | −10.2880 | −0.428667 | ||||||||
\(577\) | −1.82526 | − | 2.51225i | −0.0759864 | − | 0.104586i | 0.769332 | − | 0.638849i | \(-0.220589\pi\) |
−0.845318 | + | 0.534263i | \(0.820589\pi\) | |||||||
\(578\) | 29.1977 | + | 9.48689i | 1.21446 | + | 0.394603i | ||||
\(579\) | 16.2248 | − | 49.9349i | 0.674281 | − | 2.07522i | ||||
\(580\) | 3.41634 | − | 6.63063i | 0.141856 | − | 0.275322i | ||||
\(581\) | 3.97703 | + | 12.2400i | 0.164995 | + | 0.507803i | ||||
\(582\) | 11.0361i | 0.457460i | ||||||||
\(583\) | −7.06511 | + | 2.29559i | −0.292607 | + | 0.0950738i | ||||
\(584\) | −5.15679 | − | 3.74663i | −0.213390 | − | 0.155037i | ||||
\(585\) | 14.8745 | + | 29.5223i | 0.614986 | + | 1.22060i | ||||
\(586\) | 4.74539 | − | 3.44773i | 0.196030 | − | 0.142424i | ||||
\(587\) | −25.8043 | + | 35.5166i | −1.06506 | + | 1.46593i | −0.190076 | + | 0.981769i | \(0.560873\pi\) |
−0.874981 | + | 0.484157i | \(0.839127\pi\) | |||||||
\(588\) | 9.59588 | − | 13.2076i | 0.395728 | − | 0.544672i | ||||
\(589\) | −0.756612 | + | 0.549711i | −0.0311757 | + | 0.0226504i | ||||
\(590\) | −31.6072 | + | 4.85963i | −1.30125 | + | 0.200068i | ||||
\(591\) | 14.1942 | + | 10.3127i | 0.583872 | + | 0.424208i | ||||
\(592\) | 25.6645 | − | 8.33891i | 1.05481 | − | 0.342727i | ||||
\(593\) | 0.915667i | 0.0376019i | 0.999823 | + | 0.0188010i | \(0.00598489\pi\) | ||||
−0.999823 | + | 0.0188010i | \(0.994015\pi\) | |||||||
\(594\) | −0.0340260 | − | 0.104721i | −0.00139610 | − | 0.00429676i | ||||
\(595\) | −2.33913 | + | 1.17855i | −0.0958948 | + | 0.0483157i | ||||
\(596\) | −3.18246 | + | 9.79462i | −0.130359 | + | 0.401203i | ||||
\(597\) | −33.0659 | − | 10.7438i | −1.35330 | − | 0.439713i | ||||
\(598\) | −2.01549 | − | 2.77409i | −0.0824196 | − | 0.113441i | ||||
\(599\) | 37.0015 | 1.51184 | 0.755919 | − | 0.654665i | \(-0.227190\pi\) | ||||
0.755919 | + | 0.654665i | \(0.227190\pi\) | |||||||
\(600\) | −11.2372 | + | 3.53912i | −0.458757 | + | 0.144484i | ||||
\(601\) | 27.8575 | 1.13633 | 0.568166 | − | 0.822914i | \(-0.307653\pi\) | ||||
0.568166 | + | 0.822914i | \(0.307653\pi\) | |||||||
\(602\) | −3.04289 | − | 4.18818i | −0.124019 | − | 0.170698i | ||||
\(603\) | −20.4540 | − | 6.64590i | −0.832950 | − | 0.270642i | ||||
\(604\) | 2.01595 | − | 6.20446i | 0.0820280 | − | 0.252456i | ||||
\(605\) | 23.1612 | + | 3.77584i | 0.941635 | + | 0.153510i | ||||
\(606\) | 12.3618 | + | 38.0457i | 0.502164 | + | 1.54550i | ||||
\(607\) | 5.29957i | 0.215103i | 0.994200 | + | 0.107552i | \(0.0343011\pi\) | ||||
−0.994200 | + | 0.107552i | \(0.965699\pi\) | |||||||
\(608\) | 6.62563 | − | 2.15280i | 0.268705 | − | 0.0873075i | ||||
\(609\) | −7.01805 | − | 5.09892i | −0.284386 | − | 0.206618i | ||||
\(610\) | 8.65848 | − | 53.1115i | 0.350572 | − | 2.15042i | ||||
\(611\) | −54.8399 | + | 39.8435i | −2.21858 | + | 1.61190i | ||||
\(612\) | 1.91807 | − | 2.63999i | 0.0775332 | − | 0.106715i | ||||
\(613\) | 26.1853 | − | 36.0410i | 1.05762 | − | 1.45568i | 0.175602 | − | 0.984461i | \(-0.443813\pi\) |
0.882014 | − | 0.471223i | \(-0.156187\pi\) | |||||||
\(614\) | 32.2885 | − | 23.4590i | 1.30306 | − | 0.946727i | ||||
\(615\) | 14.4369 | − | 14.3069i | 0.582154 | − | 0.576911i | ||||
\(616\) | −0.875991 | − | 0.636445i | −0.0352947 | − | 0.0256431i | ||||
\(617\) | 1.08419 | − | 0.352276i | 0.0436480 | − | 0.0141821i | −0.287112 | − | 0.957897i | \(-0.592695\pi\) |
0.330760 | + | 0.943715i | \(0.392695\pi\) | |||||||
\(618\) | 45.9763i | 1.84944i | ||||||||
\(619\) | −0.945273 | − | 2.90925i | −0.0379937 | − | 0.116933i | 0.930261 | − | 0.366899i | \(-0.119580\pi\) |
−0.968255 | + | 0.249966i | \(0.919580\pi\) | |||||||
\(620\) | 0.471322 | + | 3.06549i | 0.0189288 | + | 0.123113i | ||||
\(621\) | 0.00945422 | − | 0.0290971i | 0.000379385 | − | 0.00116763i | ||||
\(622\) | −37.7716 | − | 12.2727i | −1.51450 | − | 0.492092i | ||||
\(623\) | −12.5611 | − | 17.2889i | −0.503250 | − | 0.692664i | ||||
\(624\) | 58.0318 | 2.32313 | ||||||||
\(625\) | 20.4880 | − | 14.3263i | 0.819519 | − | 0.573052i | ||||
\(626\) | 26.0827 | 1.04248 | ||||||||
\(627\) | −1.02053 | − | 1.40464i | −0.0407561 | − | 0.0560960i | ||||
\(628\) | 20.5603 | + | 6.68045i | 0.820446 | + | 0.266579i | ||||
\(629\) | −1.29777 | + | 3.99413i | −0.0517455 | + | 0.159256i | ||||
\(630\) | −2.97017 | − | 19.3181i | −0.118334 | − | 0.769650i | ||||
\(631\) | −13.5059 | − | 41.5667i | −0.537660 | − | 1.65475i | −0.737831 | − | 0.674985i | \(-0.764150\pi\) |
0.200172 | − | 0.979761i | \(-0.435850\pi\) | |||||||
\(632\) | − | 8.91652i | − | 0.354680i | ||||||
\(633\) | −19.5315 | + | 6.34616i | −0.776306 | + | 0.252237i | ||||
\(634\) | −8.63348 | − | 6.27259i | −0.342879 | − | 0.249116i | ||||
\(635\) | 16.2032 | − | 16.0573i | 0.643004 | − | 0.637213i | ||||
\(636\) | −30.6281 | + | 22.2526i | −1.21448 | + | 0.882374i | ||||
\(637\) | −13.2034 | + | 18.1729i | −0.523136 | + | 0.720035i | ||||
\(638\) | −1.75384 | + | 2.41395i | −0.0694352 | + | 0.0955694i | ||||
\(639\) | −29.7414 | + | 21.6084i | −1.17655 | + | 0.854814i | ||||
\(640\) | −2.68388 | + | 16.4630i | −0.106090 | + | 0.650758i | ||||
\(641\) | 6.56530 | + | 4.76997i | 0.259314 | + | 0.188402i | 0.709844 | − | 0.704358i | \(-0.248765\pi\) |
−0.450531 | + | 0.892761i | \(0.648765\pi\) | |||||||
\(642\) | 9.71142 | − | 3.15543i | 0.383279 | − | 0.124535i | ||||
\(643\) | 35.4679i | 1.39872i | 0.714771 | + | 0.699359i | \(0.246531\pi\) | ||||
−0.714771 | + | 0.699359i | \(0.753469\pi\) | |||||||
\(644\) | 0.266756 | + | 0.820990i | 0.0105117 | + | 0.0323515i | ||||
\(645\) | 9.46938 | + | 1.54374i | 0.372857 | + | 0.0607848i | ||||
\(646\) | −0.427823 | + | 1.31670i | −0.0168325 | + | 0.0518050i | ||||
\(647\) | 45.6697 | + | 14.8390i | 1.79546 | + | 0.583381i | 0.999751 | − | 0.0222980i | \(-0.00709825\pi\) |
0.795709 | + | 0.605679i | \(0.207098\pi\) | |||||||
\(648\) | 5.16036 | + | 7.10263i | 0.202718 | + | 0.279017i | ||||
\(649\) | 5.44698 | 0.213813 | ||||||||
\(650\) | −44.3641 | + | 13.9723i | −1.74010 | + | 0.548040i | ||||
\(651\) | 3.60705 | 0.141371 | ||||||||
\(652\) | −11.7314 | − | 16.1469i | −0.459437 | − | 0.632360i | ||||
\(653\) | −24.6089 | − | 7.99592i | −0.963021 | − | 0.312904i | −0.215025 | − | 0.976608i | \(-0.568983\pi\) |
−0.747995 | + | 0.663704i | \(0.768983\pi\) | |||||||
\(654\) | 1.17950 | − | 3.63011i | 0.0461219 | − | 0.141949i | ||||
\(655\) | 14.8604 | − | 7.48726i | 0.580642 | − | 0.292551i | ||||
\(656\) | −5.48149 | − | 16.8703i | −0.214016 | − | 0.658674i | ||||
\(657\) | 19.5981i | 0.764594i | ||||||||
\(658\) | 38.1161 | − | 12.3847i | 1.48592 | − | 0.482805i | ||||
\(659\) | 5.96551 | + | 4.33420i | 0.232383 | + | 0.168836i | 0.697883 | − | 0.716212i | \(-0.254125\pi\) |
−0.465500 | + | 0.885048i | \(0.654125\pi\) | |||||||
\(660\) | −5.69105 | + | 0.875004i | −0.221524 | + | 0.0340595i | ||||
\(661\) | 17.5746 | − | 12.7687i | 0.683572 | − | 0.496644i | −0.190968 | − | 0.981596i | \(-0.561163\pi\) |
0.874541 | + | 0.484952i | \(0.161163\pi\) | |||||||
\(662\) | −17.3134 | + | 23.8299i | −0.672905 | + | 0.926174i | ||||
\(663\) | −5.30852 | + | 7.30655i | −0.206166 | + | 0.283763i | ||||
\(664\) | −6.36096 | + | 4.62150i | −0.246853 | + | 0.179349i | ||||
\(665\) | 1.58873 | + | 3.15323i | 0.0616081 | + | 0.122277i | ||||
\(666\) | −25.3532 | − | 18.4202i | −0.982417 | − | 0.713768i | ||||
\(667\) | −0.788484 | + | 0.256194i | −0.0305302 | + | 0.00991987i | ||||
\(668\) | 20.7971i | 0.804665i | ||||||||
\(669\) | −1.49966 | − | 4.61547i | −0.0579801 | − | 0.178444i | ||||
\(670\) | 13.8595 | − | 26.8993i | 0.535438 | − | 1.03921i | ||||
\(671\) | −2.83246 | + | 8.71740i | −0.109346 | + | 0.336532i | ||||
\(672\) | −25.5543 | − | 8.30310i | −0.985779 | − | 0.320299i | ||||
\(673\) | 20.0390 | + | 27.5813i | 0.772446 | + | 1.06318i | 0.996076 | + | 0.0885063i | \(0.0282093\pi\) |
−0.223630 | + | 0.974674i | \(0.571791\pi\) | |||||||
\(674\) | −12.5751 | −0.484376 | ||||||||
\(675\) | −0.333522 | − | 0.246959i | −0.0128373 | − | 0.00950545i | ||||
\(676\) | 17.5666 | 0.675639 | ||||||||
\(677\) | −16.0452 | − | 22.0843i | −0.616667 | − | 0.848770i | 0.380438 | − | 0.924807i | \(-0.375773\pi\) |
−0.997105 | + | 0.0760367i | \(0.975773\pi\) | |||||||
\(678\) | −59.3159 | − | 19.2729i | −2.27801 | − | 0.740171i | ||||
\(679\) | −1.18131 | + | 3.63571i | −0.0453347 | + | 0.139526i | ||||
\(680\) | −1.12636 | − | 1.13659i | −0.0431939 | − | 0.0435864i | ||||
\(681\) | 11.8318 | + | 36.4145i | 0.453395 | + | 1.39541i | ||||
\(682\) | − | 1.24069i | − | 0.0475086i | ||||||
\(683\) | −46.2000 | + | 15.0113i | −1.76779 | + | 0.574391i | −0.997959 | − | 0.0638523i | \(-0.979661\pi\) |
−0.769835 | + | 0.638243i | \(0.779661\pi\) | |||||||
\(684\) | −3.55881 | − | 2.58563i | −0.136074 | − | 0.0988639i | ||||
\(685\) | −5.42808 | − | 2.79674i | −0.207396 | − | 0.106858i | ||||
\(686\) | 27.4336 | − | 19.9317i | 1.04742 | − | 0.760996i | ||||
\(687\) | −38.3559 | + | 52.7924i | −1.46337 | + | 2.01415i | ||||
\(688\) | 4.92173 | − | 6.77418i | 0.187639 | − | 0.258263i | ||||
\(689\) | 42.1424 | − | 30.6183i | 1.60550 | − | 1.16646i | ||||
\(690\) | −3.34002 | − | 1.72090i | −0.127152 | − | 0.0655136i | ||||
\(691\) | −20.1101 | − | 14.6108i | −0.765023 | − | 0.555822i | 0.135424 | − | 0.990788i | \(-0.456760\pi\) |
−0.900447 | + | 0.434966i | \(0.856760\pi\) | |||||||
\(692\) | −9.07878 | + | 2.94987i | −0.345123 | + | 0.112137i | ||||
\(693\) | 3.32915i | 0.126464i | ||||||||
\(694\) | 12.6753 | + | 39.0106i | 0.481148 | + | 1.48082i | ||||
\(695\) | 19.3372 | + | 19.5129i | 0.733500 | + | 0.740166i | ||||
\(696\) | 1.63768 | − | 5.04026i | 0.0620761 | − | 0.191051i | ||||
\(697\) | 2.62550 | + | 0.853075i | 0.0994478 | + | 0.0323125i | ||||
\(698\) | 23.5471 | + | 32.4099i | 0.891273 | + | 1.22673i | ||||
\(699\) | 49.0042 | 1.85351 | ||||||||
\(700\) | 11.7090 | + | 0.105932i | 0.442559 | + | 0.00400384i | ||||
\(701\) | 36.5974 | 1.38226 | 0.691132 | − | 0.722728i | \(-0.257112\pi\) | ||||
0.691132 | + | 0.722728i | \(0.257112\pi\) | |||||||
\(702\) | 0.453833 | + | 0.624648i | 0.0171288 | + | 0.0235758i | ||||
\(703\) | 5.38424 | + | 1.74944i | 0.203070 | + | 0.0659815i | ||||
\(704\) | −0.761912 | + | 2.34492i | −0.0287156 | + | 0.0883777i | ||||
\(705\) | −34.0199 | + | 66.0277i | −1.28126 | + | 2.48675i | ||||
\(706\) | 15.6538 | + | 48.1774i | 0.589138 | + | 1.81318i | ||||
\(707\) | 13.8570i | 0.521144i | ||||||||
\(708\) | 26.4005 | − | 8.57805i | 0.992192 | − | 0.322383i | ||||
\(709\) | 12.8729 | + | 9.35272i | 0.483452 | + | 0.351249i | 0.802661 | − | 0.596436i | \(-0.203417\pi\) |
−0.319208 | + | 0.947685i | \(0.603417\pi\) | |||||||
\(710\) | −23.2738 | − | 46.1928i | −0.873451 | − | 1.73359i | ||||
\(711\) | −22.1791 | + | 16.1141i | −0.831783 | + | 0.604326i | ||||
\(712\) | 7.67389 | − | 10.5622i | 0.287591 | − | 0.395835i | ||||
\(713\) | 0.202627 | − | 0.278893i | 0.00758846 | − | 0.0104446i | ||||
\(714\) | 4.31992 | − | 3.13861i | 0.161669 | − | 0.117459i | ||||
\(715\) | 7.83054 | − | 1.20395i | 0.292846 | − | 0.0450253i | ||||
\(716\) | 13.6376 | + | 9.90832i | 0.509662 | + | 0.370291i | ||||
\(717\) | 54.5504 | − | 17.7245i | 2.03722 | − | 0.661934i | ||||
\(718\) | 34.8024i | 1.29882i | ||||||||
\(719\) | −13.4436 | − | 41.3752i | −0.501362 | − | 1.54303i | −0.806802 | − | 0.590823i | \(-0.798803\pi\) |
0.305439 | − | 0.952212i | \(-0.401197\pi\) | |||||||
\(720\) | 28.2322 | − | 14.2245i | 1.05215 | − | 0.530117i | ||||
\(721\) | −4.92135 | + | 15.1464i | −0.183281 | + | 0.564080i | ||||
\(722\) | 1.77497 | + | 0.576721i | 0.0660574 | + | 0.0214633i | ||||
\(723\) | 15.6483 | + | 21.5380i | 0.581965 | + | 0.801006i | ||||
\(724\) | 12.8757 | 0.478523 | ||||||||
\(725\) | −0.101738 | + | 11.2454i | −0.00377844 | + | 0.417643i | ||||
\(726\) | −47.8406 | −1.77553 | ||||||||
\(727\) | 23.6438 | + | 32.5429i | 0.876900 | + | 1.20695i | 0.977270 | + | 0.211999i | \(0.0679972\pi\) |
−0.100370 | + | 0.994950i | \(0.532003\pi\) | |||||||
\(728\) | 7.22101 | + | 2.34625i | 0.267628 | + | 0.0869577i | ||||
\(729\) | 8.15339 | − | 25.0935i | 0.301977 | − | 0.929391i | ||||
\(730\) | −27.2153 | − | 4.43676i | −1.00728 | − | 0.164212i | ||||
\(731\) | 0.402690 | + | 1.23935i | 0.0148940 | + | 0.0458390i | ||||
\(732\) | 46.7123i | 1.72653i | ||||||||
\(733\) | 39.8808 | − | 12.9581i | 1.47303 | − | 0.478617i | 0.541009 | − | 0.841017i | \(-0.318043\pi\) |
0.932023 | + | 0.362400i | \(0.118043\pi\) | |||||||
\(734\) | 28.8896 | + | 20.9895i | 1.06633 | + | 0.774736i | ||||
\(735\) | −3.96037 | + | 24.2931i | −0.146080 | + | 0.896063i | ||||
\(736\) | −2.07751 | + | 1.50940i | −0.0765780 | + | 0.0556372i | ||||
\(737\) | −3.02957 | + | 4.16985i | −0.111596 | + | 0.153598i | ||||
\(738\) | −12.1083 | + | 16.6657i | −0.445713 | + | 0.613471i | ||||
\(739\) | −36.7229 | + | 26.6807i | −1.35087 | + | 0.981467i | −0.351906 | + | 0.936035i | \(0.614466\pi\) |
−0.998967 | + | 0.0454314i | \(0.985534\pi\) | |||||||
\(740\) | 13.3357 | − | 13.2156i | 0.490231 | − | 0.485816i | ||||
\(741\) | 9.84951 | + | 7.15609i | 0.361831 | + | 0.262885i | ||||
\(742\) | −29.2908 | + | 9.51717i | −1.07530 | + | 0.349386i | ||||
\(743\) | − | 12.1979i | − | 0.447497i | −0.974647 | − | 0.223749i | \(-0.928171\pi\) | ||
0.974647 | − | 0.223749i | \(-0.0718295\pi\) | |||||||
\(744\) | 0.680961 | + | 2.09578i | 0.0249653 | + | 0.0768352i | ||||
\(745\) | −2.35959 | − | 15.3469i | −0.0864488 | − | 0.562266i | ||||
\(746\) | 0.591011 | − | 1.81894i | 0.0216384 | − | 0.0665963i | ||||
\(747\) | 22.9913 | + | 7.47031i | 0.841206 | + | 0.273324i | ||||
\(748\) | −0.459680 | − | 0.632695i | −0.0168075 | − | 0.0231336i | ||||
\(749\) | 3.53708 | 0.129242 | ||||||||
\(750\) | −36.5241 | + | 35.5461i | −1.33367 | + | 1.29796i | ||||
\(751\) | 3.84449 | 0.140288 | 0.0701438 | − | 0.997537i | \(-0.477654\pi\) | ||||
0.0701438 | + | 0.997537i | \(0.477654\pi\) | |||||||
\(752\) | 38.1024 | + | 52.4434i | 1.38945 | + | 1.91242i | ||||
\(753\) | −5.11221 | − | 1.66106i | −0.186299 | − | 0.0605324i | ||||
\(754\) | 6.46551 | − | 19.8988i | 0.235460 | − | 0.724672i | ||||
\(755\) | 1.49470 | + | 9.72157i | 0.0543977 | + | 0.353804i | ||||
\(756\) | −0.0600660 | − | 0.184864i | −0.00218458 | − | 0.00672345i | ||||
\(757\) | 15.1935i | 0.552218i | 0.961126 | + | 0.276109i | \(0.0890452\pi\) | ||||
−0.961126 | + | 0.276109i | \(0.910955\pi\) | |||||||
\(758\) | −7.96464 | + | 2.58787i | −0.289289 | + | 0.0939956i | ||||
\(759\) | 0.517761 | + | 0.376175i | 0.0187935 | + | 0.0136543i | ||||
\(760\) | −1.53217 | + | 1.51837i | −0.0555778 | + | 0.0550772i | ||||
\(761\) | −0.935508 | + | 0.679686i | −0.0339121 | + | 0.0246386i | −0.604612 | − | 0.796520i | \(-0.706672\pi\) |
0.570700 | + | 0.821159i | \(0.306672\pi\) | |||||||
\(762\) | −27.3350 | + | 37.6234i | −0.990243 | + | 1.36295i | ||||
\(763\) | 0.777144 | − | 1.06965i | 0.0281345 | − | 0.0387238i | ||||
\(764\) | 11.0390 | − | 8.02030i | 0.399377 | − | 0.290164i | ||||
\(765\) | −0.791616 | + | 4.85580i | −0.0286209 | + | 0.175562i | ||||
\(766\) | −30.8004 | − | 22.3778i | −1.11286 | − | 0.808544i | ||||
\(767\) | −36.3255 | + | 11.8029i | −1.31164 | + | 0.426177i | ||||
\(768\) | − | 50.9498i | − | 1.83849i | ||||||
\(769\) | 15.4079 | + | 47.4205i | 0.555621 | + | 1.71003i | 0.694297 | + | 0.719689i | \(0.255715\pi\) |
−0.138676 | + | 0.990338i | \(0.544285\pi\) | |||||||
\(770\) | −4.62309 | − | 0.753678i | −0.166605 | − | 0.0271607i | ||||
\(771\) | −1.33498 | + | 4.10864i | −0.0480780 | + | 0.147969i | ||||
\(772\) | −30.3204 | − | 9.85169i | −1.09125 | − | 0.354570i | ||||
\(773\) | −28.8184 | − | 39.6651i | −1.03653 | − | 1.42666i | −0.899933 | − | 0.436028i | \(-0.856385\pi\) |
−0.136592 | − | 0.990627i | \(-0.543615\pi\) | |||||||
\(774\) | −9.72406 | −0.349524 | ||||||||
\(775\) | −2.71422 | − | 3.80777i | −0.0974976 | − | 0.136779i | ||||
\(776\) | −2.33545 | −0.0838378 | ||||||||
\(777\) | −12.8343 | − | 17.6649i | −0.460429 | − | 0.633726i | ||||
\(778\) | 60.3255 | + | 19.6010i | 2.16278 | + | 0.702728i | ||||
\(779\) | 1.14998 | − | 3.53927i | 0.0412022 | − | 0.126807i | ||||
\(780\) | 36.0572 | − | 18.1671i | 1.29105 | − | 0.650485i | ||||
\(781\) | 2.72256 | + | 8.37918i | 0.0974208 | + | 0.299830i | ||||
\(782\) | − | 0.510323i | − | 0.0182491i | ||||||
\(783\) | 0.177545 | − | 0.0576878i | 0.00634493 | − | 0.00206159i | ||||
\(784\) | 17.3787 | + | 12.6264i | 0.620668 | + | 0.450942i | ||||
\(785\) | −32.2153 | + | 4.95312i | −1.14981 | + | 0.176785i | ||||
\(786\) | −27.4443 | + | 19.9394i | −0.978905 | + | 0.711216i | ||||
\(787\) | −5.82424 | + | 8.01638i | −0.207612 | + | 0.285753i | −0.900107 | − | 0.435670i | \(-0.856512\pi\) |
0.692495 | + | 0.721423i | \(0.256512\pi\) | |||||||
\(788\) | 6.26186 | − | 8.61871i | 0.223070 | − | 0.307029i | ||||
\(789\) | 46.9998 | − | 34.1473i | 1.67324 | − | 1.21568i | ||||
\(790\) | −17.3561 | − | 34.4475i | −0.617501 | − | 1.22559i | ||||
\(791\) | −17.4780 | − | 12.6985i | −0.621445 | − | 0.451506i | ||||
\(792\) | −1.93432 | + | 0.628498i | −0.0687330 | + | 0.0223327i | ||||
\(793\) | − | 64.2732i | − | 2.28241i | ||||||
\(794\) | 6.47539 | + | 19.9292i | 0.229803 | + | 0.707261i | ||||
\(795\) | 26.1430 | − | 50.7398i | 0.927197 | − | 1.79956i | ||||
\(796\) | −6.52360 | + | 20.0776i | −0.231223 | + | 0.711631i | ||||
\(797\) | 29.8393 | + | 9.69538i | 1.05696 | + | 0.343428i | 0.785397 | − | 0.618992i | \(-0.212459\pi\) |
0.271566 | + | 0.962420i | \(0.412459\pi\) | |||||||
\(798\) | −4.23096 | − | 5.82342i | −0.149774 | − | 0.206147i | ||||
\(799\) | −10.0884 | −0.356902 | ||||||||
\(800\) | 10.4639 | + | 33.2242i | 0.369953 | + | 1.17465i | ||||
\(801\) | −40.1411 | −1.41831 | ||||||||
\(802\) | −36.6072 | − | 50.3854i | −1.29264 | − | 1.77917i | ||||
\(803\) | 4.46695 | + | 1.45140i | 0.157635 | + | 0.0512188i | ||||
\(804\) | −8.11699 | + | 24.9815i | −0.286264 | + | 0.881031i | ||||
\(805\) | −0.916126 | − | 0.924451i | −0.0322892 | − | 0.0325826i | ||||
\(806\) | 2.68841 | + | 8.27409i | 0.0946954 | + | 0.291442i | ||||
\(807\) | − | 73.0667i | − | 2.57207i | ||||||
\(808\) | −8.05123 | + | 2.61600i | −0.283241 | + | 0.0920306i | ||||
\(809\) | −33.4947 | − | 24.3353i | −1.17761 | − | 0.855585i | −0.185711 | − | 0.982604i | \(-0.559459\pi\) |
−0.991900 | + | 0.127020i | \(0.959459\pi\) | |||||||
\(810\) | 33.7615 | + | 17.3952i | 1.18626 | + | 0.611204i | ||||
\(811\) | −18.7639 | + | 13.6328i | −0.658891 | + | 0.478713i | −0.866288 | − | 0.499544i | \(-0.833501\pi\) |
0.207397 | + | 0.978257i | \(0.433501\pi\) | |||||||
\(812\) | −3.09605 | + | 4.26135i | −0.108650 | + | 0.149544i | ||||
\(813\) | 28.4091 | − | 39.1018i | 0.996350 | − | 1.37136i | ||||
\(814\) | −6.07609 | + | 4.41454i | −0.212967 | + | 0.154730i | ||||
\(815\) | 26.7496 | + | 13.7824i | 0.936997 | + | 0.482775i | ||||
\(816\) | 6.98726 | + | 5.07654i | 0.244603 | + | 0.177715i | ||||
\(817\) | 1.67069 | − | 0.542841i | 0.0584501 | − | 0.0189916i | ||||
\(818\) | − | 23.9002i | − | 0.835649i | ||||||
\(819\) | −7.21382 | − | 22.2019i | −0.252071 | − | 0.775796i | ||||
\(820\) | −8.68714 | − | 8.76609i | −0.303368 | − | 0.306125i | ||||
\(821\) | 6.89781 | − | 21.2293i | 0.240735 | − | 0.740907i | −0.755574 | − | 0.655064i | \(-0.772642\pi\) |
0.996309 | − | 0.0858428i | \(-0.0273583\pi\) | |||||||
\(822\) | 11.8391 | + | 3.84676i | 0.412936 | + | 0.134171i | ||||
\(823\) | −1.01857 | − | 1.40194i | −0.0355051 | − | 0.0488685i | 0.790895 | − | 0.611951i | \(-0.209615\pi\) |
−0.826400 | + | 0.563083i | \(0.809615\pi\) | |||||||
\(824\) | −9.72949 | −0.338943 | ||||||||
\(825\) | 7.06908 | − | 5.03891i | 0.246114 | − | 0.175432i | ||||
\(826\) | 22.5823 | 0.785739 | ||||||||
\(827\) | 25.2382 | + | 34.7373i | 0.877617 | + | 1.20794i | 0.977075 | + | 0.212894i | \(0.0682888\pi\) |
−0.0994588 | + | 0.995042i | \(0.531711\pi\) | |||||||
\(828\) | 1.54212 | + | 0.501064i | 0.0535923 | + | 0.0174132i | ||||
\(829\) | 4.44809 | − | 13.6898i | 0.154489 | − | 0.475467i | −0.843620 | − | 0.536940i | \(-0.819580\pi\) |
0.998109 | + | 0.0614735i | \(0.0195800\pi\) | |||||||
\(830\) | −15.5787 | + | 30.2361i | −0.540745 | + | 1.04951i | ||||
\(831\) | −7.02438 | − | 21.6188i | −0.243673 | − | 0.749949i | ||||
\(832\) | − | 17.2891i | − | 0.599391i | ||||||
\(833\) | −3.17947 | + | 1.03307i | −0.110162 | + | 0.0357939i | ||||
\(834\) | −45.3085 | − | 32.9186i | −1.56891 | − | 1.13988i | ||||
\(835\) | −14.1086 | − | 28.0022i | −0.488249 | − | 0.969054i | ||||
\(836\) | −0.852896 | + | 0.619665i | −0.0294980 | + | 0.0214316i | ||||
\(837\) | −0.0456261 | + | 0.0627990i | −0.00157707 | + | 0.00217065i | ||||
\(838\) | 23.3971 | − | 32.2033i | 0.808238 | − | 1.11244i | ||||
\(839\) | −19.6285 | + | 14.2610i | −0.677652 | + | 0.492343i | −0.872578 | − | 0.488475i | \(-0.837553\pi\) |
0.194926 | + | 0.980818i | \(0.437553\pi\) | |||||||
\(840\) | 8.22300 | − | 1.26429i | 0.283721 | − | 0.0436223i | ||||
\(841\) | 19.3689 | + | 14.0723i | 0.667892 | + | 0.485252i | ||||
\(842\) | 6.15572 | − | 2.00011i | 0.212140 | − | 0.0689285i | ||||
\(843\) | 21.9710i | 0.756723i | ||||||||
\(844\) | 3.85338 | + | 11.8595i | 0.132639 | + | 0.408220i | ||||
\(845\) | −23.6525 | + | 11.9171i | −0.813669 | + | 0.409960i | ||||
\(846\) | 23.2629 | − | 71.5959i | 0.799795 | − | 2.46152i | ||||
\(847\) | −15.7606 | − | 5.12092i | −0.541539 | − | 0.175957i | ||||
\(848\) | −29.2803 | − | 40.3008i | −1.00549 | − | 1.38394i | ||||
\(849\) | −65.9664 | −2.26396 | ||||||||
\(850\) | −6.56389 | − | 2.19858i | −0.225140 | − | 0.0754108i | ||||
\(851\) | −2.08680 | −0.0715347 | ||||||||
\(852\) | 26.3915 | + | 36.3248i | 0.904157 | + | 1.24447i | ||||
\(853\) | −30.8855 | − | 10.0353i | −1.05750 | − | 0.343603i | −0.271893 | − | 0.962328i | \(-0.587650\pi\) |
−0.785608 | + | 0.618725i | \(0.787650\pi\) | |||||||
\(854\) | −11.7429 | + | 36.1410i | −0.401834 | + | 1.23672i | ||||
\(855\) | 6.54581 | + | 1.06713i | 0.223862 | + | 0.0364950i | ||||
\(856\) | 0.667752 | + | 2.05513i | 0.0228233 | + | 0.0702429i | ||||
\(857\) | 4.24327i | 0.144947i | 0.997370 | + | 0.0724736i | \(0.0230893\pi\) | ||||
−0.997370 | + | 0.0724736i | \(0.976911\pi\) | |||||||
\(858\) | −15.3607 | + | 4.99101i | −0.524407 | + | 0.170390i | ||||
\(859\) | −37.2437 | − | 27.0591i | −1.27074 | − | 0.923245i | −0.271505 | − | 0.962437i | \(-0.587522\pi\) |
−0.999232 | + | 0.0391923i | \(0.987522\pi\) | |||||||
\(860\) | 0.937359 | − | 5.74980i | 0.0319637 | − | 0.196066i | ||||
\(861\) | −11.6119 | + | 8.43651i | −0.395731 | + | 0.287515i | ||||
\(862\) | −11.7637 | + | 16.1913i | −0.400672 | + | 0.551478i | ||||
\(863\) | −7.89742 | + | 10.8699i | −0.268831 | + | 0.370015i | −0.921995 | − | 0.387202i | \(-0.873441\pi\) |
0.653163 | + | 0.757217i | \(0.273441\pi\) | |||||||
\(864\) | 0.467797 | − | 0.339875i | 0.0159148 | − | 0.0115628i | ||||
\(865\) | 10.2229 | − | 10.1308i | 0.347589 | − | 0.344458i | ||||
\(866\) | −42.6041 | − | 30.9537i | −1.44775 | − | 1.05185i | ||||
\(867\) | 38.2126 | − | 12.4160i | 1.29777 | − | 0.421671i | ||||
\(868\) | − | 2.19020i | − | 0.0743401i | ||||||
\(869\) | 2.03030 | + | 6.24863i | 0.0688733 | + | 0.211970i | ||||
\(870\) | −3.48399 | − | 22.6600i | −0.118118 | − | 0.768246i | ||||
\(871\) | 11.1685 | − | 34.3731i | 0.378430 | − | 1.16469i | ||||
\(872\) | 0.768204 | + | 0.249605i | 0.0260147 | + | 0.00845268i | ||||
\(873\) | 4.22067 | + | 5.80925i | 0.142848 | + | 0.196613i | ||||
\(874\) | −0.687935 | −0.0232698 | ||||||||
\(875\) | −15.8374 | + | 7.80067i | −0.535401 | + | 0.263711i | ||||
\(876\) | 23.9362 | 0.808729 | ||||||||
\(877\) | 29.8521 | + | 41.0879i | 1.00803 | + | 1.38744i | 0.920263 | + | 0.391300i | \(0.127974\pi\) |
0.0877709 | + | 0.996141i | \(0.472026\pi\) | |||||||
\(878\) | 34.6695 | + | 11.2648i | 1.17004 | + | 0.380169i | ||||
\(879\) | 2.37222 | − | 7.30095i | 0.0800131 | − | 0.246255i | ||||
\(880\) | −1.15134 | − | 7.48835i | −0.0388117 | − | 0.252432i | ||||
\(881\) | 2.23657 | + | 6.88344i | 0.0753518 | + | 0.231909i | 0.981637 | − | 0.190757i | \(-0.0610943\pi\) |
−0.906285 | + | 0.422666i | \(0.861094\pi\) | |||||||
\(882\) | − | 24.9464i | − | 0.839990i | ||||||
\(883\) | 11.8282 | − | 3.84320i | 0.398049 | − | 0.129334i | −0.103150 | − | 0.994666i | \(-0.532892\pi\) |
0.501200 | + | 0.865332i | \(0.332892\pi\) | |||||||
\(884\) | 4.43653 | + | 3.22333i | 0.149217 | + | 0.108412i | ||||
\(885\) | −29.7275 | + | 29.4598i | −0.999279 | + | 0.990280i | ||||
\(886\) | −50.8266 | + | 36.9277i | −1.70755 | + | 1.24061i | ||||
\(887\) | −12.7792 | + | 17.5890i | −0.429083 | + | 0.590582i | −0.967742 | − | 0.251942i | \(-0.918931\pi\) |
0.538660 | + | 0.842524i | \(0.318931\pi\) | |||||||
\(888\) | 7.84081 | − | 10.7920i | 0.263120 | − | 0.362154i | ||||
\(889\) | −13.0325 | + | 9.46864i | −0.437095 | + | 0.317568i | ||||
\(890\) | 9.08743 | − | 55.7427i | 0.304611 | − | 1.86850i | ||||
\(891\) | −5.23362 | − | 3.80245i | −0.175333 | − | 0.127387i | ||||
\(892\) | −2.80251 | + | 0.910590i | −0.0938349 | + | 0.0304888i | ||||
\(893\) | 13.5995i | 0.455091i | ||||||||
\(894\) | 9.78174 | + | 30.1051i | 0.327150 | + | 1.00687i | ||||
\(895\) | −25.0840 | − | 4.08932i | −0.838467 | − | 0.136691i | ||||
\(896\) | 3.63996 | − | 11.2027i | 0.121603 | − | 0.374255i | ||||
\(897\) | −4.26803 | − | 1.38677i | −0.142505 | − | 0.0463028i | ||||
\(898\) | 34.3919 | + | 47.3364i | 1.14767 | + | 1.57964i | ||||
\(899\) | 2.10348 | 0.0701549 | ||||||||
\(900\) | 13.0886 | − | 17.6764i | 0.436286 | − | 0.589212i | ||||
\(901\) | 7.75256 | 0.258275 | ||||||||
\(902\) | 2.90185 | + | 3.99405i | 0.0966210 | + | 0.132987i | ||||
\(903\) | −6.44367 | − | 2.09367i | −0.214432 | − | 0.0696731i | ||||
\(904\) | 4.07853 | − | 12.5524i | 0.135650 | − | 0.417487i | ||||
\(905\) | −17.3364 | + | 8.73481i | −0.576283 | + | 0.290355i | ||||
\(906\) | −6.19631 | − | 19.0703i | −0.205859 | − | 0.633568i | ||||
\(907\) | − | 15.1334i | − | 0.502495i | −0.967923 | − | 0.251247i | \(-0.919159\pi\) | ||
0.967923 | − | 0.251247i | \(-0.0808408\pi\) | |||||||
\(908\) | 22.1108 | − | 7.18425i | 0.733774 | − | 0.238418i | ||||
\(909\) | 21.0574 | + | 15.2991i | 0.698430 | + | 0.507439i | ||||
\(910\) | 32.4642 | − | 4.99139i | 1.07618 | − | 0.165463i | ||||
\(911\) | 10.4323 | − | 7.57952i | 0.345638 | − | 0.251121i | −0.401399 | − | 0.915903i | \(-0.631476\pi\) |
0.747037 | + | 0.664783i | \(0.231476\pi\) | |||||||
\(912\) | 6.84337 | − | 9.41909i | 0.226607 | − | 0.311897i | ||||
\(913\) | 3.40539 | − | 4.68711i | 0.112702 | − | 0.155121i | ||||
\(914\) | 25.9708 | − | 18.8689i | 0.859038 | − | 0.624128i | ||||
\(915\) | −31.6893 | − | 62.8954i | −1.04762 | − | 2.07926i | ||||
\(916\) | 32.0555 | + | 23.2896i | 1.05914 | + | 0.769512i | ||||
\(917\) | −11.1755 | + | 3.63116i | −0.369049 | + | 0.119911i | ||||
\(918\) | 0.114911i | 0.00379262i | ||||||||
\(919\) | 5.12350 | + | 15.7685i | 0.169009 | + | 0.520155i | 0.999309 | − | 0.0371607i | \(-0.0118314\pi\) |
−0.830301 | + | 0.557316i | \(0.811831\pi\) | |||||||
\(920\) | 0.364177 | − | 0.706815i | 0.0120065 | − | 0.0233030i | ||||
\(921\) | 16.1410 | − | 49.6770i | 0.531865 | − | 1.63691i | ||||
\(922\) | 70.3824 | + | 22.8686i | 2.31792 | + | 0.753138i | ||||
\(923\) | −36.3131 | − | 49.9806i | −1.19526 | − | 1.64513i | ||||
\(924\) | 4.06607 | 0.133764 | ||||||||
\(925\) | −8.99041 | + | 26.8409i | −0.295603 | + | 0.882525i | ||||
\(926\) | 26.6355 | 0.875295 | ||||||||
\(927\) | 17.5833 | + | 24.2013i | 0.577511 | + | 0.794876i | ||||
\(928\) | −14.9022 | − | 4.84201i | −0.489188 | − | 0.158947i | ||||
\(929\) | 7.23826 | − | 22.2771i | 0.237480 | − | 0.730887i | −0.759303 | − | 0.650737i | \(-0.774460\pi\) |
0.996783 | − | 0.0801502i | \(-0.0255400\pi\) | |||||||
\(930\) | 6.71024 | + | 6.77122i | 0.220037 | + | 0.222037i | ||||
\(931\) | 1.39262 | + | 4.28605i | 0.0456413 | + | 0.140470i | ||||
\(932\) | − | 29.7553i | − | 0.974667i | ||||||
\(933\) | −49.4338 | + | 16.0620i | −1.61839 | + | 0.525847i | ||||
\(934\) | 18.1671 | + | 13.1992i | 0.594446 | + | 0.431890i | ||||
\(935\) | 1.04815 | + | 0.540044i | 0.0342781 | + | 0.0176613i | ||||
\(936\) | 11.5379 | − | 8.38281i | 0.377130 | − | 0.274001i | ||||
\(937\) | −6.74346 | + | 9.28157i | −0.220299 | + | 0.303216i | −0.904834 | − | 0.425764i | \(-0.860005\pi\) |
0.684535 | + | 0.728980i | \(0.260005\pi\) | |||||||
\(938\) | −12.5601 | + | 17.2875i | −0.410103 | + | 0.564458i | ||||
\(939\) | 27.6165 | − | 20.0646i | 0.901232 | − | 0.654783i | ||||
\(940\) | 40.0919 | + | 20.6568i | 1.30765 | + | 0.673751i | ||||
\(941\) | 19.7548 | + | 14.3527i | 0.643988 | + | 0.467884i | 0.861218 | − | 0.508236i | \(-0.169702\pi\) |
−0.217230 | + | 0.976120i | \(0.569702\pi\) | |||||||
\(942\) | 63.1949 | − | 20.5333i | 2.05900 | − | 0.669010i | ||||
\(943\) | 1.37174i | 0.0446699i | ||||||||
\(944\) | 11.2871 | + | 34.7381i | 0.367364 | + | 1.13063i | ||||
\(945\) | 0.206286 | + | 0.208161i | 0.00671049 | + | 0.00677147i | ||||
\(946\) | −0.720148 | + | 2.21639i | −0.0234140 | + | 0.0720609i | ||||
\(947\) | −13.7884 | − | 4.48012i | −0.448063 | − | 0.145584i | 0.0762898 | − | 0.997086i | \(-0.475693\pi\) |
−0.524353 | + | 0.851501i | \(0.675693\pi\) | |||||||
\(948\) | 19.6810 | + | 27.0886i | 0.639210 | + | 0.879796i | ||||
\(949\) | −32.9348 | −1.06911 | ||||||||
\(950\) | −2.96378 | + | 8.84838i | −0.0961576 | + | 0.287079i | ||||
\(951\) | −13.9665 | −0.452894 | ||||||||
\(952\) | 0.664191 | + | 0.914181i | 0.0215266 | + | 0.0296288i | ||||
\(953\) | 29.3662 | + | 9.54164i | 0.951263 | + | 0.309084i | 0.743229 | − | 0.669037i | \(-0.233293\pi\) |
0.208034 | + | 0.978122i | \(0.433293\pi\) | |||||||
\(954\) | −17.8767 | + | 55.0188i | −0.578779 | + | 1.78130i | ||||
\(955\) | −9.42247 | + | 18.2877i | −0.304904 | + | 0.591775i | ||||
\(956\) | −10.7623 | − | 33.1230i | −0.348078 | − | 1.07127i | ||||
\(957\) | 3.90508i | 0.126233i | ||||||||
\(958\) | 37.7565 | − | 12.2678i | 1.21986 | − | 0.396356i | ||||
\(959\) | 3.48850 | + | 2.53454i | 0.112650 | + | 0.0818447i | ||||
\(960\) | −8.52421 | − | 16.9185i | −0.275118 | − | 0.546041i | ||||
\(961\) | 24.3719 | − | 17.7072i | 0.786191 | − | 0.571201i | ||||
\(962\) | 30.9553 | − | 42.6063i | 0.998038 | − | 1.37368i | ||||
\(963\) | 3.90520 | − | 5.37505i | 0.125843 | − | 0.173208i | ||||
\(964\) | 13.0778 | − | 9.50160i | 0.421208 | − | 0.306026i | ||||
\(965\) | 47.5080 | − | 7.30440i | 1.52934 | − | 0.235137i | ||||
\(966\) | 2.14655 | + | 1.55956i | 0.0690643 | + | 0.0501781i | ||||
\(967\) | 35.1873 | − | 11.4330i | 1.13155 | − | 0.367662i | 0.317383 | − | 0.948297i | \(-0.397196\pi\) |
0.814164 | + | 0.580636i | \(0.197196\pi\) | |||||||
\(968\) | − | 10.1240i | − | 0.325398i | ||||||
\(969\) | 0.559916 | + | 1.72324i | 0.0179871 | + | 0.0553585i | ||||
\(970\) | −9.02264 | + | 4.54597i | −0.289699 | + | 0.145962i | ||||
\(971\) | −9.63458 | + | 29.6522i | −0.309188 | + | 0.951584i | 0.668893 | + | 0.743359i | \(0.266769\pi\) |
−0.978081 | + | 0.208225i | \(0.933231\pi\) | |||||||
\(972\) | −31.0033 | − | 10.0736i | −0.994433 | − | 0.323111i | ||||
\(973\) | −11.4027 | − | 15.6945i | −0.365555 | − | 0.503143i | ||||
\(974\) | −40.0968 | −1.28478 | ||||||||
\(975\) | −36.2245 | + | 48.9218i | −1.16011 | + | 1.56675i | ||||
\(976\) | −61.4645 | −1.96743 | ||||||||
\(977\) | −7.78955 | − | 10.7214i | −0.249210 | − | 0.343008i | 0.666024 | − | 0.745930i | \(-0.267995\pi\) |
−0.915234 | + | 0.402922i | \(0.867995\pi\) | |||||||
\(978\) | −58.3431 | − | 18.9568i | −1.86561 | − | 0.606173i | ||||
\(979\) | −2.97278 | + | 9.14927i | −0.0950104 | + | 0.292412i | ||||
\(980\) | 14.7507 | + | 2.40473i | 0.471194 | + | 0.0768163i | ||||
\(981\) | −0.767440 | − | 2.36194i | −0.0245025 | − | 0.0754109i | ||||
\(982\) | 3.27431i | 0.104487i | ||||||||
\(983\) | −45.6279 | + | 14.8254i | −1.45530 | + | 0.472857i | −0.926632 | − | 0.375969i | \(-0.877310\pi\) |
−0.528672 | + | 0.848826i | \(0.677310\pi\) | |||||||
\(984\) | −7.09397 | − | 5.15407i | −0.226148 | − | 0.164306i | ||||
\(985\) | −2.58437 | + | 15.8526i | −0.0823448 | + | 0.505106i | ||||
\(986\) | 2.51919 | − | 1.83030i | 0.0802275 | − | 0.0582887i | ||||
\(987\) | 30.8304 | − | 42.4344i | 0.981343 | − | 1.35070i | ||||
\(988\) | 4.34517 | − | 5.98061i | 0.138238 | − | 0.190269i | ||||
\(989\) | −0.523856 | + | 0.380604i | −0.0166576 | + | 0.0121025i | ||||
\(990\) | −6.24955 | + | 6.19326i | −0.198624 | + | 0.196835i | ||||
\(991\) | −47.7999 | − | 34.7287i | −1.51842 | − | 1.10319i | −0.962266 | − | 0.272111i | \(-0.912278\pi\) |
−0.556150 | − | 0.831082i | \(-0.687722\pi\) | |||||||
\(992\) | 6.19645 | − | 2.01335i | 0.196738 | − | 0.0639239i | ||||
\(993\) | 38.5498i | 1.22334i | ||||||||
\(994\) | 11.2873 | + | 34.7387i | 0.358011 | + | 1.10185i | ||||
\(995\) | −4.83683 | − | 31.4589i | −0.153338 | − | 0.997314i | ||||
\(996\) | 9.12390 | − | 28.0805i | 0.289102 | − | 0.889764i | ||||
\(997\) | −9.03586 | − | 2.93593i | −0.286169 | − | 0.0929818i | 0.162415 | − | 0.986722i | \(-0.448072\pi\) |
−0.448584 | + | 0.893741i | \(0.648072\pi\) | |||||||
\(998\) | −28.4119 | − | 39.1057i | −0.899364 | − | 1.23787i | ||||
\(999\) | 0.469891 | 0.0148667 |
(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 | 475.2.n.b.39.5 | ✓ | 96 | |
25.9 | even | 10 | inner | 475.2.n.b.134.5 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
475.2.n.b.39.5 | ✓ | 96 | 1.1 | even | 1 | trivial | |
475.2.n.b.134.5 | yes | 96 | 25.9 | even | 10 | inner |