Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(55,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.x (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 55.5 | ||
Character | \(\chi\) | \(=\) | 588.55 |
Dual form | 588.2.x.b.139.5 |
$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{9}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.25082 | + | 0.659893i | −0.884461 | + | 0.466615i | ||||
\(3\) | 0.900969 | + | 0.433884i | 0.520175 | + | 0.250503i | ||||
\(4\) | 1.12908 | − | 1.65081i | 0.564541 | − | 0.825405i | ||||
\(5\) | −0.617993 | + | 1.28328i | −0.276375 | + | 0.573898i | −0.992240 | − | 0.124341i | \(-0.960318\pi\) |
0.715865 | + | 0.698239i | \(0.246033\pi\) | |||||||
\(6\) | −1.41326 | + | 0.0518343i | −0.576962 | + | 0.0211613i | ||||
\(7\) | −2.62009 | + | 0.367586i | −0.990302 | + | 0.138934i | ||||
\(8\) | −0.322916 | + | 2.80993i | −0.114168 | + | 0.993461i | ||||
\(9\) | 0.623490 | + | 0.781831i | 0.207830 | + | 0.260610i | ||||
\(10\) | −0.0738292 | − | 2.01295i | −0.0233468 | − | 0.636551i | ||||
\(11\) | 3.17064 | + | 2.52850i | 0.955983 | + | 0.762371i | 0.971385 | − | 0.237510i | \(-0.0763313\pi\) |
−0.0154017 | + | 0.999881i | \(0.504903\pi\) | |||||||
\(12\) | 1.73353 | − | 0.997438i | 0.500426 | − | 0.287936i | ||||
\(13\) | 0.222642 | + | 0.177551i | 0.0617498 | + | 0.0492438i | 0.653878 | − | 0.756600i | \(-0.273141\pi\) |
−0.592129 | + | 0.805844i | \(0.701712\pi\) | |||||||
\(14\) | 3.03469 | − | 2.18876i | 0.811054 | − | 0.584971i | ||||
\(15\) | −1.11359 | + | 0.888054i | −0.287526 | + | 0.229295i | ||||
\(16\) | −1.45035 | − | 3.72780i | −0.362587 | − | 0.931950i | ||||
\(17\) | 0.185554 | + | 0.0423514i | 0.0450034 | + | 0.0102717i | 0.244963 | − | 0.969532i | \(-0.421224\pi\) |
−0.199960 | + | 0.979804i | \(0.564081\pi\) | |||||||
\(18\) | −1.29580 | − | 0.566491i | −0.305422 | − | 0.133523i | ||||
\(19\) | −7.80617 | −1.79086 | −0.895429 | − | 0.445205i | \(-0.853131\pi\) | ||||
−0.895429 | + | 0.445205i | \(0.853131\pi\) | |||||||
\(20\) | 1.42068 | + | 2.46911i | 0.317674 | + | 0.552110i | ||||
\(21\) | −2.52011 | − | 0.805632i | −0.549933 | − | 0.175803i | ||||
\(22\) | −5.63443 | − | 1.07041i | −1.20126 | − | 0.228211i | ||||
\(23\) | −2.63773 | + | 0.602045i | −0.550005 | + | 0.125535i | −0.488487 | − | 0.872571i | \(-0.662451\pi\) |
−0.0615175 | + | 0.998106i | \(0.519594\pi\) | |||||||
\(24\) | −1.51012 | + | 2.39155i | −0.308252 | + | 0.488174i | ||||
\(25\) | 1.85257 | + | 2.32305i | 0.370513 | + | 0.464609i | ||||
\(26\) | −0.395649 | − | 0.0751638i | −0.0775931 | − | 0.0147408i | ||||
\(27\) | 0.222521 | + | 0.974928i | 0.0428242 | + | 0.187625i | ||||
\(28\) | −2.35148 | + | 4.74031i | −0.444389 | + | 0.895834i | ||||
\(29\) | −0.353311 | + | 1.54796i | −0.0656082 | + | 0.287448i | −0.997080 | − | 0.0763656i | \(-0.975668\pi\) |
0.931472 | + | 0.363814i | \(0.118526\pi\) | |||||||
\(30\) | 0.806869 | − | 1.84564i | 0.147313 | − | 0.336966i | ||||
\(31\) | −3.75188 | −0.673857 | −0.336929 | − | 0.941530i | \(-0.609388\pi\) | ||||
−0.336929 | + | 0.941530i | \(0.609388\pi\) | |||||||
\(32\) | 4.27407 | + | 3.70572i | 0.755555 | + | 0.655085i | ||||
\(33\) | 1.75957 | + | 3.65379i | 0.306302 | + | 0.636043i | ||||
\(34\) | −0.260041 | + | 0.0694718i | −0.0445967 | + | 0.0119143i | ||||
\(35\) | 1.14748 | − | 3.58947i | 0.193960 | − | 0.606730i | ||||
\(36\) | 1.99463 | − | 0.146511i | 0.332438 | − | 0.0244185i | ||||
\(37\) | −1.64682 | + | 7.21521i | −0.270736 | + | 1.18617i | 0.638410 | + | 0.769696i | \(0.279592\pi\) |
−0.909146 | + | 0.416477i | \(0.863265\pi\) | |||||||
\(38\) | 9.76408 | − | 5.15124i | 1.58394 | − | 0.835641i | ||||
\(39\) | 0.123557 | + | 0.256569i | 0.0197849 | + | 0.0410839i | ||||
\(40\) | −3.40636 | − | 2.15091i | −0.538593 | − | 0.340089i | ||||
\(41\) | −0.965003 | + | 2.00385i | −0.150708 | + | 0.312949i | −0.962631 | − | 0.270816i | \(-0.912707\pi\) |
0.811923 | + | 0.583765i | \(0.198421\pi\) | |||||||
\(42\) | 3.68383 | − | 0.655306i | 0.568427 | − | 0.101116i | ||||
\(43\) | −2.38434 | − | 4.95113i | −0.363608 | − | 0.755041i | 0.636257 | − | 0.771478i | \(-0.280482\pi\) |
−0.999865 | + | 0.0164370i | \(0.994768\pi\) | |||||||
\(44\) | 7.75398 | − | 2.37924i | 1.16896 | − | 0.358684i | ||||
\(45\) | −1.38862 | + | 0.316943i | −0.207003 | + | 0.0472471i | ||||
\(46\) | 2.90203 | − | 2.49367i | 0.427881 | − | 0.367671i | ||||
\(47\) | −0.847501 | + | 1.06273i | −0.123621 | + | 0.155015i | −0.839790 | − | 0.542911i | \(-0.817322\pi\) |
0.716170 | + | 0.697926i | \(0.245894\pi\) | |||||||
\(48\) | 0.310715 | − | 3.98791i | 0.0448478 | − | 0.575606i | ||||
\(49\) | 6.72976 | − | 1.92622i | 0.961395 | − | 0.275174i | ||||
\(50\) | −3.85018 | − | 1.68321i | −0.544498 | − | 0.238041i | ||||
\(51\) | 0.148803 | + | 0.118666i | 0.0208365 | + | 0.0166166i | ||||
\(52\) | 0.544484 | − | 0.167070i | 0.0755064 | − | 0.0231684i | ||||
\(53\) | 2.76318 | + | 12.1063i | 0.379552 | + | 1.66293i | 0.698847 | + | 0.715271i | \(0.253697\pi\) |
−0.319295 | + | 0.947656i | \(0.603446\pi\) | |||||||
\(54\) | −0.921681 | − | 1.07262i | −0.125425 | − | 0.145964i | ||||
\(55\) | −5.20420 | + | 2.50621i | −0.701734 | + | 0.337937i | ||||
\(56\) | −0.186821 | − | 7.48098i | −0.0249651 | − | 0.999688i | ||||
\(57\) | −7.03311 | − | 3.38697i | −0.931558 | − | 0.448615i | ||||
\(58\) | −0.579559 | − | 2.16936i | −0.0760998 | − | 0.284850i | ||||
\(59\) | −1.62587 | + | 0.782978i | −0.211670 | + | 0.101935i | −0.536715 | − | 0.843764i | \(-0.680335\pi\) |
0.325045 | + | 0.945699i | \(0.394621\pi\) | |||||||
\(60\) | 0.208680 | + | 2.84100i | 0.0269405 | + | 0.366772i | ||||
\(61\) | −6.72792 | − | 1.53560i | −0.861422 | − | 0.196614i | −0.231083 | − | 0.972934i | \(-0.574227\pi\) |
−0.630339 | + | 0.776320i | \(0.717084\pi\) | |||||||
\(62\) | 4.69291 | − | 2.47584i | 0.596000 | − | 0.314432i | ||||
\(63\) | −1.92099 | − | 1.81928i | −0.242022 | − | 0.229208i | ||||
\(64\) | −7.79145 | − | 1.81475i | −0.973931 | − | 0.226843i | ||||
\(65\) | −0.365438 | + | 0.175986i | −0.0453270 | + | 0.0218283i | ||||
\(66\) | −4.61201 | − | 3.40909i | −0.567699 | − | 0.419630i | ||||
\(67\) | 10.0388i | 1.22644i | 0.789913 | + | 0.613219i | \(0.210126\pi\) | ||||
−0.789913 | + | 0.613219i | \(0.789874\pi\) | |||||||
\(68\) | 0.279420 | − | 0.258496i | 0.0338846 | − | 0.0313472i | ||||
\(69\) | −2.63773 | − | 0.602045i | −0.317545 | − | 0.0724777i | ||||
\(70\) | 0.933371 | + | 5.24698i | 0.111559 | + | 0.627134i | ||||
\(71\) | −12.2478 | + | 2.79548i | −1.45355 | + | 0.331763i | −0.875094 | − | 0.483953i | \(-0.839200\pi\) |
−0.578453 | + | 0.815716i | \(0.696343\pi\) | |||||||
\(72\) | −2.39823 | + | 1.49950i | −0.282634 | + | 0.176718i | ||||
\(73\) | 9.58733 | − | 7.64564i | 1.12211 | − | 0.894854i | 0.126834 | − | 0.991924i | \(-0.459518\pi\) |
0.995278 | + | 0.0970695i | \(0.0309469\pi\) | |||||||
\(74\) | −2.70139 | − | 10.1116i | −0.314031 | − | 1.17545i | ||||
\(75\) | 0.661174 | + | 2.89679i | 0.0763458 | + | 0.334493i | ||||
\(76\) | −8.81380 | + | 12.8865i | −1.01101 | + | 1.47818i | ||||
\(77\) | −9.23680 | − | 5.45942i | −1.05263 | − | 0.622159i | ||||
\(78\) | −0.323855 | − | 0.239386i | −0.0366694 | − | 0.0271051i | ||||
\(79\) | − | 9.31782i | − | 1.04834i | −0.851615 | − | 0.524169i | \(-0.824376\pi\) | ||
0.851615 | − | 0.524169i | \(-0.175624\pi\) | |||||||
\(80\) | 5.68010 | + | 0.442560i | 0.635055 | + | 0.0494797i | ||||
\(81\) | −0.222521 | + | 0.974928i | −0.0247245 | + | 0.108325i | ||||
\(82\) | −0.115285 | − | 3.14325i | −0.0127311 | − | 0.347114i | ||||
\(83\) | 3.52380 | + | 4.41870i | 0.386787 | + | 0.485016i | 0.936664 | − | 0.350230i | \(-0.113897\pi\) |
−0.549877 | + | 0.835246i | \(0.685325\pi\) | |||||||
\(84\) | −4.17536 | + | 3.25060i | −0.455569 | + | 0.354669i | ||||
\(85\) | −0.169020 | + | 0.211944i | −0.0183327 | + | 0.0229885i | ||||
\(86\) | 6.24959 | + | 4.61955i | 0.673910 | + | 0.498139i | ||||
\(87\) | −0.989955 | + | 1.24136i | −0.106134 | + | 0.133088i | ||||
\(88\) | −8.12877 | + | 8.09279i | −0.866529 | + | 0.862694i | ||||
\(89\) | 7.19839 | − | 5.74052i | 0.763027 | − | 0.608494i | −0.162704 | − | 0.986675i | \(-0.552022\pi\) |
0.925732 | + | 0.378181i | \(0.123450\pi\) | |||||||
\(90\) | 1.52776 | − | 1.31278i | 0.161040 | − | 0.138379i | ||||
\(91\) | −0.648608 | − | 0.383360i | −0.0679925 | − | 0.0401870i | ||||
\(92\) | −1.98435 | + | 5.03415i | −0.206883 | + | 0.524846i | ||||
\(93\) | −3.38032 | − | 1.62788i | −0.350523 | − | 0.168803i | ||||
\(94\) | 0.358778 | − | 1.88854i | 0.0370051 | − | 0.194788i | ||||
\(95\) | 4.82416 | − | 10.0175i | 0.494948 | − | 1.02777i | ||||
\(96\) | 2.24295 | + | 5.19319i | 0.228920 | + | 0.530027i | ||||
\(97\) | − | 6.37792i | − | 0.647580i | −0.946129 | − | 0.323790i | \(-0.895043\pi\) | ||
0.946129 | − | 0.323790i | \(-0.104957\pi\) | |||||||
\(98\) | −7.14660 | + | 6.85027i | −0.721915 | + | 0.691981i | ||||
\(99\) | 4.05540i | 0.407583i | ||||||||
\(100\) | 5.92661 | − | 0.435327i | 0.592661 | − | 0.0435327i | ||||
\(101\) | 5.14768 | − | 10.6893i | 0.512214 | − | 1.06362i | −0.471163 | − | 0.882046i | \(-0.656166\pi\) |
0.983377 | − | 0.181577i | \(-0.0581201\pi\) | |||||||
\(102\) | −0.264432 | − | 0.0502357i | −0.0261826 | − | 0.00497407i | ||||
\(103\) | 9.58063 | + | 4.61379i | 0.944007 | + | 0.454610i | 0.841581 | − | 0.540131i | \(-0.181625\pi\) |
0.102426 | + | 0.994741i | \(0.467339\pi\) | |||||||
\(104\) | −0.570801 | + | 0.568275i | −0.0559717 | + | 0.0557239i | ||||
\(105\) | 2.59126 | − | 2.73612i | 0.252881 | − | 0.267018i | ||||
\(106\) | −11.4451 | − | 13.3193i | −1.11165 | − | 1.29369i | ||||
\(107\) | −1.92097 | + | 1.53192i | −0.185707 | + | 0.148097i | −0.711931 | − | 0.702250i | \(-0.752179\pi\) |
0.526223 | + | 0.850346i | \(0.323608\pi\) | |||||||
\(108\) | 1.86067 | + | 0.733434i | 0.179043 | + | 0.0705747i | ||||
\(109\) | 6.27796 | − | 7.87231i | 0.601319 | − | 0.754031i | −0.384264 | − | 0.923223i | \(-0.625545\pi\) |
0.985583 | + | 0.169193i | \(0.0541160\pi\) | |||||||
\(110\) | 4.85566 | − | 6.56902i | 0.462969 | − | 0.626331i | ||||
\(111\) | −4.61430 | + | 5.78615i | −0.437970 | + | 0.549197i | ||||
\(112\) | 5.17033 | + | 9.23405i | 0.488550 | + | 0.872536i | ||||
\(113\) | 12.1726 | + | 15.2640i | 1.14511 | + | 1.43592i | 0.882062 | + | 0.471133i | \(0.156155\pi\) |
0.263043 | + | 0.964784i | \(0.415274\pi\) | |||||||
\(114\) | 11.0322 | − | 0.404628i | 1.03326 | − | 0.0378968i | ||||
\(115\) | 0.857510 | − | 3.75699i | 0.0799632 | − | 0.350342i | ||||
\(116\) | 2.15646 | + | 2.33102i | 0.200223 | + | 0.216430i | ||||
\(117\) | 0.284770i | 0.0263270i | ||||||||
\(118\) | 1.51698 | − | 2.05226i | 0.139650 | − | 0.188926i | ||||
\(119\) | −0.501736 | − | 0.0427577i | −0.0459940 | − | 0.00391960i | ||||
\(120\) | −2.13578 | − | 3.41587i | −0.194969 | − | 0.311825i | ||||
\(121\) | 1.21191 | + | 5.30971i | 0.110173 | + | 0.482701i | ||||
\(122\) | 9.42873 | − | 2.51895i | 0.853637 | − | 0.228055i | ||||
\(123\) | −1.73888 | + | 1.38671i | −0.156789 | + | 0.125035i | ||||
\(124\) | −4.23618 | + | 6.19364i | −0.380420 | + | 0.556205i | ||||
\(125\) | −11.0691 | + | 2.52644i | −0.990048 | + | 0.225972i | ||||
\(126\) | 3.60334 | + | 1.00794i | 0.321011 | + | 0.0897946i | ||||
\(127\) | −3.17459 | − | 0.724579i | −0.281699 | − | 0.0642960i | 0.0793368 | − | 0.996848i | \(-0.474720\pi\) |
−0.361036 | + | 0.932552i | \(0.617577\pi\) | |||||||
\(128\) | 10.9432 | − | 2.87161i | 0.967252 | − | 0.253817i | ||||
\(129\) | − | 5.49534i | − | 0.483838i | ||||||
\(130\) | 0.340964 | − | 0.461276i | 0.0299045 | − | 0.0404566i | ||||
\(131\) | 14.3308 | − | 6.90133i | 1.25208 | − | 0.602972i | 0.314014 | − | 0.949418i | \(-0.398326\pi\) |
0.938070 | + | 0.346446i | \(0.112612\pi\) | |||||||
\(132\) | 8.01841 | + | 1.22071i | 0.697913 | + | 0.106249i | ||||
\(133\) | 20.4529 | − | 2.86943i | 1.77349 | − | 0.248812i | ||||
\(134\) | −6.62455 | − | 12.5567i | −0.572274 | − | 1.08474i | ||||
\(135\) | −1.38862 | − | 0.316943i | −0.119513 | − | 0.0272781i | ||||
\(136\) | −0.178923 | + | 0.507718i | −0.0153425 | + | 0.0435364i | ||||
\(137\) | −8.21140 | + | 3.95440i | −0.701547 | + | 0.337847i | −0.750423 | − | 0.660957i | \(-0.770150\pi\) |
0.0488759 | + | 0.998805i | \(0.484436\pi\) | |||||||
\(138\) | 3.69660 | − | 0.987573i | 0.314676 | − | 0.0840678i | ||||
\(139\) | 16.0352 | + | 7.72215i | 1.36009 | + | 0.654984i | 0.964656 | − | 0.263511i | \(-0.0848806\pi\) |
0.395432 | + | 0.918495i | \(0.370595\pi\) | |||||||
\(140\) | −4.62992 | − | 5.94708i | −0.391300 | − | 0.502620i | ||||
\(141\) | −1.22467 | + | 0.589772i | −0.103136 | + | 0.0496678i | ||||
\(142\) | 13.4750 | − | 11.5789i | 1.13080 | − | 0.971677i | ||||
\(143\) | 0.256979 | + | 1.12590i | 0.0214897 | + | 0.0941525i | ||||
\(144\) | 2.01024 | − | 3.45817i | 0.167520 | − | 0.288181i | ||||
\(145\) | −1.76811 | − | 1.41002i | −0.146834 | − | 0.117096i | ||||
\(146\) | −6.94668 | + | 15.8899i | −0.574911 | + | 1.31506i | ||||
\(147\) | 6.89906 | + | 1.18447i | 0.569025 | + | 0.0976937i | ||||
\(148\) | 10.0515 | + | 10.8652i | 0.826232 | + | 0.893111i | ||||
\(149\) | −3.78300 | + | 4.74373i | −0.309915 | + | 0.388622i | −0.912258 | − | 0.409616i | \(-0.865663\pi\) |
0.602343 | + | 0.798238i | \(0.294234\pi\) | |||||||
\(150\) | −2.73858 | − | 3.18705i | −0.223604 | − | 0.260221i | ||||
\(151\) | 14.8253 | − | 3.38378i | 1.20647 | − | 0.275368i | 0.428422 | − | 0.903579i | \(-0.359070\pi\) |
0.778043 | + | 0.628211i | \(0.216213\pi\) | |||||||
\(152\) | 2.52074 | − | 21.9348i | 0.204459 | − | 1.77915i | ||||
\(153\) | 0.0825792 | + | 0.171478i | 0.00667613 | + | 0.0138631i | ||||
\(154\) | 15.1562 | + | 0.733428i | 1.22132 | + | 0.0591013i | ||||
\(155\) | 2.31863 | − | 4.81469i | 0.186237 | − | 0.386725i | ||||
\(156\) | 0.563052 | + | 0.0857181i | 0.0450802 | + | 0.00686294i | ||||
\(157\) | −0.0189505 | − | 0.0393510i | −0.00151241 | − | 0.00314056i | 0.900211 | − | 0.435453i | \(-0.143412\pi\) |
−0.901724 | + | 0.432313i | \(0.857698\pi\) | |||||||
\(158\) | 6.14877 | + | 11.6549i | 0.489170 | + | 0.927213i | ||||
\(159\) | −2.76318 | + | 12.1063i | −0.219135 | + | 0.960091i | ||||
\(160\) | −7.39680 | + | 3.19470i | −0.584769 | + | 0.252563i | ||||
\(161\) | 6.68979 | − | 2.54700i | 0.527229 | − | 0.200732i | ||||
\(162\) | −0.365015 | − | 1.36630i | −0.0286783 | − | 0.107346i | ||||
\(163\) | 2.84195 | + | 5.90136i | 0.222598 | + | 0.462230i | 0.982121 | − | 0.188251i | \(-0.0602817\pi\) |
−0.759523 | + | 0.650481i | \(0.774567\pi\) | |||||||
\(164\) | 2.21841 | + | 3.85555i | 0.173229 | + | 0.301068i | ||||
\(165\) | −5.77622 | −0.449678 | ||||||||
\(166\) | −7.32349 | − | 3.20165i | −0.568413 | − | 0.248497i | ||||
\(167\) | −2.48345 | + | 10.8807i | −0.192175 | + | 0.841974i | 0.783261 | + | 0.621693i | \(0.213555\pi\) |
−0.975436 | + | 0.220281i | \(0.929302\pi\) | |||||||
\(168\) | 3.07756 | − | 6.82119i | 0.237439 | − | 0.526266i | ||||
\(169\) | −2.87473 | − | 12.5950i | −0.221133 | − | 0.968846i | ||||
\(170\) | 0.0715521 | − | 0.376638i | 0.00548780 | − | 0.0288868i | ||||
\(171\) | −4.86706 | − | 6.10311i | −0.372194 | − | 0.466716i | ||||
\(172\) | −10.8655 | − | 1.65414i | −0.828486 | − | 0.126127i | ||||
\(173\) | 10.4905 | − | 2.39439i | 0.797577 | − | 0.182042i | 0.195735 | − | 0.980657i | \(-0.437291\pi\) |
0.601842 | + | 0.798615i | \(0.294434\pi\) | |||||||
\(174\) | 0.419084 | − | 2.20598i | 0.0317707 | − | 0.167235i | ||||
\(175\) | −5.70782 | − | 5.40562i | −0.431470 | − | 0.408626i | ||||
\(176\) | 4.82722 | − | 15.4867i | 0.363865 | − | 1.16735i | ||||
\(177\) | −1.80458 | −0.135641 | ||||||||
\(178\) | −5.21573 | + | 11.9305i | −0.390935 | + | 0.894229i | ||||
\(179\) | 17.0032 | + | 3.88087i | 1.27088 | + | 0.290070i | 0.804201 | − | 0.594357i | \(-0.202593\pi\) |
0.466679 | + | 0.884427i | \(0.345451\pi\) | |||||||
\(180\) | −1.04465 | + | 2.65020i | −0.0778637 | + | 0.197534i | ||||
\(181\) | −5.80075 | + | 4.62594i | −0.431166 | + | 0.343843i | −0.814901 | − | 0.579600i | \(-0.803209\pi\) |
0.383735 | + | 0.923443i | \(0.374638\pi\) | |||||||
\(182\) | 1.06427 | + | 0.0515012i | 0.0788886 | + | 0.00381752i | ||||
\(183\) | −5.39538 | − | 4.30267i | −0.398838 | − | 0.318062i | ||||
\(184\) | −0.839940 | − | 7.60626i | −0.0619212 | − | 0.560741i | ||||
\(185\) | −8.24138 | − | 6.57228i | −0.605918 | − | 0.483204i | ||||
\(186\) | 5.30239 | − | 0.194476i | 0.388790 | − | 0.0142597i | ||||
\(187\) | 0.481238 | + | 0.603454i | 0.0351916 | + | 0.0441289i | ||||
\(188\) | 0.797471 | + | 2.59898i | 0.0581616 | + | 0.189550i | ||||
\(189\) | −0.941395 | − | 2.47261i | −0.0684764 | − | 0.179856i | ||||
\(190\) | 0.576323 | + | 15.7134i | 0.0418108 | + | 1.13997i | ||||
\(191\) | 2.72066 | − | 5.64952i | 0.196860 | − | 0.408785i | −0.779048 | − | 0.626964i | \(-0.784297\pi\) |
0.975909 | + | 0.218179i | \(0.0700117\pi\) | |||||||
\(192\) | −6.23247 | − | 5.01561i | −0.449789 | − | 0.361971i | ||||
\(193\) | 17.4301 | + | 8.39388i | 1.25464 | + | 0.604205i | 0.938753 | − | 0.344591i | \(-0.111982\pi\) |
0.315891 | + | 0.948795i | \(0.397697\pi\) | |||||||
\(194\) | 4.20874 | + | 7.97760i | 0.302170 | + | 0.572759i | ||||
\(195\) | −0.405606 | −0.0290460 | ||||||||
\(196\) | 4.41864 | − | 13.2844i | 0.315617 | − | 0.948887i | ||||
\(197\) | 7.96516 | 0.567494 | 0.283747 | − | 0.958899i | \(-0.408422\pi\) | ||||
0.283747 | + | 0.958899i | \(0.408422\pi\) | |||||||
\(198\) | −2.67613 | − | 5.07256i | −0.190184 | − | 0.360491i | ||||
\(199\) | −15.6249 | − | 7.52455i | −1.10762 | − | 0.533402i | −0.211573 | − | 0.977362i | \(-0.567859\pi\) |
−0.896046 | + | 0.443961i | \(0.853573\pi\) | |||||||
\(200\) | −7.12583 | + | 4.45544i | −0.503872 | + | 0.315047i | ||||
\(201\) | −4.35569 | + | 9.04467i | −0.307226 | + | 0.637962i | ||||
\(202\) | 0.614973 | + | 16.7672i | 0.0432694 | + | 1.17974i | ||||
\(203\) | 0.356700 | − | 4.18566i | 0.0250355 | − | 0.293776i | ||||
\(204\) | 0.363906 | − | 0.111661i | 0.0254785 | − | 0.00781783i | ||||
\(205\) | −1.97513 | − | 2.47673i | −0.137949 | − | 0.172982i | ||||
\(206\) | −15.0282 | + | 0.551191i | −1.04707 | + | 0.0384033i | ||||
\(207\) | −2.11530 | − | 1.68689i | −0.147023 | − | 0.117247i | ||||
\(208\) | 0.338967 | − | 1.08748i | 0.0235031 | − | 0.0754028i | ||||
\(209\) | −24.7505 | − | 19.7379i | −1.71203 | − | 1.36530i | ||||
\(210\) | −1.43564 | + | 5.13234i | −0.0990686 | + | 0.354165i | ||||
\(211\) | 16.7959 | − | 13.3943i | 1.15628 | − | 0.922101i | 0.158410 | − | 0.987373i | \(-0.449363\pi\) |
0.997867 | + | 0.0652726i | \(0.0207917\pi\) | |||||||
\(212\) | 23.1050 | + | 9.10751i | 1.58686 | + | 0.625506i | ||||
\(213\) | −12.2478 | − | 2.79548i | −0.839206 | − | 0.191543i | ||||
\(214\) | 1.39188 | − | 3.18379i | 0.0951468 | − | 0.217640i | ||||
\(215\) | 7.82717 | 0.533809 | ||||||||
\(216\) | −2.81134 | + | 0.310449i | −0.191287 | + | 0.0211234i | ||||
\(217\) | 9.83026 | − | 1.37914i | 0.667322 | − | 0.0936219i | ||||
\(218\) | −2.65769 | + | 13.9896i | −0.180001 | + | 0.947495i | ||||
\(219\) | 11.9552 | − | 2.72870i | 0.807858 | − | 0.184388i | ||||
\(220\) | −1.73869 | + | 11.4209i | −0.117222 | + | 0.769994i | ||||
\(221\) | 0.0337925 | + | 0.0423745i | 0.00227313 | + | 0.00285042i | ||||
\(222\) | 1.95340 | − | 10.2824i | 0.131104 | − | 0.690106i | ||||
\(223\) | 2.15388 | + | 9.43676i | 0.144234 | + | 0.631932i | 0.994424 | + | 0.105456i | \(0.0336301\pi\) |
−0.850190 | + | 0.526477i | \(0.823513\pi\) | |||||||
\(224\) | −12.5606 | − | 8.13824i | −0.839242 | − | 0.543759i | ||||
\(225\) | −0.661174 | + | 2.89679i | −0.0440782 | + | 0.193119i | ||||
\(226\) | −25.2983 | − | 11.0598i | −1.68282 | − | 0.735689i | ||||
\(227\) | −26.9714 | −1.79016 | −0.895079 | − | 0.445908i | \(-0.852881\pi\) | ||||
−0.895079 | + | 0.445908i | \(0.852881\pi\) | |||||||
\(228\) | −13.5322 | + | 7.78617i | −0.896192 | + | 0.515651i | ||||
\(229\) | 8.20775 | + | 17.0436i | 0.542383 | + | 1.12627i | 0.974486 | + | 0.224446i | \(0.0720573\pi\) |
−0.432103 | + | 0.901824i | \(0.642228\pi\) | |||||||
\(230\) | 1.40663 | + | 5.26517i | 0.0927503 | + | 0.347175i | ||||
\(231\) | −5.95332 | − | 8.92647i | −0.391700 | − | 0.587318i | ||||
\(232\) | −4.23556 | − | 1.49264i | −0.278078 | − | 0.0979966i | ||||
\(233\) | −3.25769 | + | 14.2729i | −0.213418 | + | 0.935047i | 0.748806 | + | 0.662789i | \(0.230627\pi\) |
−0.962224 | + | 0.272258i | \(0.912230\pi\) | |||||||
\(234\) | −0.187918 | − | 0.356195i | −0.0122846 | − | 0.0232852i | ||||
\(235\) | −0.840029 | − | 1.74434i | −0.0547975 | − | 0.113788i | ||||
\(236\) | −0.543193 | + | 3.56805i | −0.0353589 | + | 0.232260i | ||||
\(237\) | 4.04285 | − | 8.39507i | 0.262611 | − | 0.545318i | ||||
\(238\) | 0.655795 | − | 0.277610i | 0.0425089 | − | 0.0179948i | ||||
\(239\) | 4.93373 | + | 10.2450i | 0.319136 | + | 0.662693i | 0.997395 | − | 0.0721297i | \(-0.0229795\pi\) |
−0.678259 | + | 0.734823i | \(0.737265\pi\) | |||||||
\(240\) | 4.92557 | + | 2.86324i | 0.317944 | + | 0.184821i | ||||
\(241\) | −1.86855 | + | 0.426484i | −0.120364 | + | 0.0274723i | −0.282279 | − | 0.959332i | \(-0.591090\pi\) |
0.161915 | + | 0.986805i | \(0.448233\pi\) | |||||||
\(242\) | −5.01971 | − | 5.84174i | −0.322679 | − | 0.375521i | ||||
\(243\) | −0.623490 | + | 0.781831i | −0.0399969 | + | 0.0501545i | ||||
\(244\) | −10.1314 | + | 9.37270i | −0.648595 | + | 0.600026i | ||||
\(245\) | −1.68708 | + | 9.82653i | −0.107784 | + | 0.627794i | ||||
\(246\) | 1.25994 | − | 2.88199i | 0.0803305 | − | 0.183749i | ||||
\(247\) | −1.73798 | − | 1.38599i | −0.110585 | − | 0.0881886i | ||||
\(248\) | 1.21154 | − | 10.5425i | 0.0769330 | − | 0.669451i | ||||
\(249\) | 1.25763 | + | 5.51003i | 0.0796990 | + | 0.349184i | ||||
\(250\) | 12.1782 | − | 10.4645i | 0.770216 | − | 0.661834i | ||||
\(251\) | 10.6366 | − | 5.12231i | 0.671376 | − | 0.323317i | −0.0669554 | − | 0.997756i | \(-0.521329\pi\) |
0.738331 | + | 0.674439i | \(0.235614\pi\) | |||||||
\(252\) | −5.17225 | + | 1.11707i | −0.325821 | + | 0.0703687i | ||||
\(253\) | −9.88556 | − | 4.76063i | −0.621500 | − | 0.299298i | ||||
\(254\) | 4.44897 | − | 1.18857i | 0.279153 | − | 0.0745778i | ||||
\(255\) | −0.244240 | + | 0.117620i | −0.0152949 | + | 0.00736565i | ||||
\(256\) | −11.7930 | + | 10.8132i | −0.737062 | + | 0.675825i | ||||
\(257\) | −25.6796 | − | 5.86120i | −1.60185 | − | 0.365612i | −0.674048 | − | 0.738687i | \(-0.735446\pi\) |
−0.927801 | + | 0.373076i | \(0.878303\pi\) | |||||||
\(258\) | 3.62634 | + | 6.87366i | 0.225766 | + | 0.427936i | ||||
\(259\) | 1.66262 | − | 19.5099i | 0.103310 | − | 1.21228i | ||||
\(260\) | −0.122091 | + | 0.801971i | −0.00757174 | + | 0.0497361i | ||||
\(261\) | −1.43053 | + | 0.688905i | −0.0885474 | + | 0.0426422i | ||||
\(262\) | −13.3710 | + | 18.0891i | −0.826063 | + | 1.11755i | ||||
\(263\) | − | 5.38078i | − | 0.331793i | −0.986143 | − | 0.165897i | \(-0.946948\pi\) | ||
0.986143 | − | 0.165897i | \(-0.0530518\pi\) | |||||||
\(264\) | −10.8351 | + | 3.76441i | −0.666854 | + | 0.231684i | ||||
\(265\) | −17.2433 | − | 3.93568i | −1.05925 | − | 0.241767i | ||||
\(266\) | −23.6893 | + | 17.0858i | −1.45248 | + | 1.04760i | ||||
\(267\) | 8.97624 | − | 2.04877i | 0.549337 | − | 0.125383i | ||||
\(268\) | 16.5722 | + | 11.3347i | 1.01231 | + | 0.692375i | ||||
\(269\) | 14.5020 | − | 11.5649i | 0.884201 | − | 0.705127i | −0.0721351 | − | 0.997395i | \(-0.522981\pi\) |
0.956337 | + | 0.292268i | \(0.0944098\pi\) | |||||||
\(270\) | 1.94605 | − | 0.519902i | 0.118433 | − | 0.0316402i | ||||
\(271\) | −6.18676 | − | 27.1060i | −0.375819 | − | 1.64657i | −0.710103 | − | 0.704098i | \(-0.751351\pi\) |
0.334284 | − | 0.942473i | \(-0.391506\pi\) | |||||||
\(272\) | −0.111240 | − | 0.753132i | −0.00674489 | − | 0.0456653i | ||||
\(273\) | −0.418042 | − | 0.626816i | −0.0253010 | − | 0.0379366i | ||||
\(274\) | 7.66147 | − | 10.3649i | 0.462846 | − | 0.626165i | ||||
\(275\) | 12.0498i | 0.726628i | ||||||||
\(276\) | −3.97208 | + | 3.67463i | −0.239091 | + | 0.221187i | ||||
\(277\) | 0.928522 | − | 4.06812i | 0.0557895 | − | 0.244430i | −0.939343 | − | 0.342980i | \(-0.888564\pi\) |
0.995132 | + | 0.0985508i | \(0.0314207\pi\) | |||||||
\(278\) | −25.1529 | + | 0.922534i | −1.50857 | + | 0.0553299i | ||||
\(279\) | −2.33926 | − | 2.93334i | −0.140048 | − | 0.175614i | ||||
\(280\) | 9.71562 | + | 4.38345i | 0.580619 | + | 0.261961i | ||||
\(281\) | −11.4335 | + | 14.3371i | −0.682065 | + | 0.855282i | −0.995543 | − | 0.0943131i | \(-0.969935\pi\) |
0.313478 | + | 0.949596i | \(0.398506\pi\) | |||||||
\(282\) | 1.14266 | − | 1.54585i | 0.0680442 | − | 0.0920541i | ||||
\(283\) | 5.28715 | − | 6.62988i | 0.314288 | − | 0.394105i | −0.599447 | − | 0.800414i | \(-0.704613\pi\) |
0.913736 | + | 0.406309i | \(0.133184\pi\) | |||||||
\(284\) | −9.21397 | + | 23.3751i | −0.546748 | + | 1.38706i | ||||
\(285\) | 8.69283 | − | 6.93230i | 0.514919 | − | 0.410634i | ||||
\(286\) | −1.06441 | − | 1.23872i | −0.0629397 | − | 0.0732468i | ||||
\(287\) | 1.79181 | − | 5.60499i | 0.105767 | − | 0.330852i | ||||
\(288\) | −0.232410 | + | 5.65208i | −0.0136949 | + | 0.333052i | ||||
\(289\) | −15.2838 | − | 7.36031i | −0.899049 | − | 0.432959i | ||||
\(290\) | 3.14204 | + | 0.596913i | 0.184507 | + | 0.0350520i | ||||
\(291\) | 2.76728 | − | 5.74631i | 0.162221 | − | 0.336854i | ||||
\(292\) | −1.79662 | − | 24.4594i | −0.105139 | − | 1.43138i | ||||
\(293\) | − | 7.84107i | − | 0.458080i | −0.973417 | − | 0.229040i | \(-0.926441\pi\) | ||
0.973417 | − | 0.229040i | \(-0.0735587\pi\) | |||||||
\(294\) | −9.41108 | + | 3.07108i | −0.548865 | + | 0.179109i | ||||
\(295\) | − | 2.57031i | − | 0.149650i | ||||||
\(296\) | −19.7425 | − | 6.95738i | −1.14751 | − | 0.404389i | ||||
\(297\) | −1.75957 | + | 3.65379i | −0.102101 | + | 0.212014i | ||||
\(298\) | 1.60148 | − | 8.42991i | 0.0927713 | − | 0.488332i | ||||
\(299\) | −0.694163 | − | 0.334291i | −0.0401445 | − | 0.0193326i | ||||
\(300\) | 5.52857 | + | 2.17924i | 0.319192 | + | 0.125819i | ||||
\(301\) | 8.06715 | + | 12.0960i | 0.464983 | + | 0.697200i | ||||
\(302\) | −16.3108 | + | 14.0156i | −0.938580 | + | 0.806507i | ||||
\(303\) | 9.27581 | − | 7.39721i | 0.532881 | − | 0.424959i | ||||
\(304\) | 11.3216 | + | 29.0998i | 0.649341 | + | 1.66899i | ||||
\(305\) | 6.12842 | − | 7.68479i | 0.350912 | − | 0.440030i | ||||
\(306\) | −0.216448 | − | 0.159993i | −0.0123735 | − | 0.00914621i | ||||
\(307\) | −5.70350 | + | 7.15196i | −0.325516 | + | 0.408184i | −0.917481 | − | 0.397780i | \(-0.869781\pi\) |
0.591965 | + | 0.805964i | \(0.298352\pi\) | |||||||
\(308\) | −19.4416 | + | 9.08407i | −1.10779 | + | 0.517613i | ||||
\(309\) | 6.63000 | + | 8.31376i | 0.377168 | + | 0.472953i | ||||
\(310\) | 0.276998 | + | 7.55235i | 0.0157324 | + | 0.428944i | ||||
\(311\) | −4.90647 | + | 21.4966i | −0.278220 | + | 1.21896i | 0.621822 | + | 0.783159i | \(0.286393\pi\) |
−0.900042 | + | 0.435803i | \(0.856464\pi\) | |||||||
\(312\) | −0.760839 | + | 0.264337i | −0.0430741 | + | 0.0149651i | ||||
\(313\) | 29.4433i | 1.66424i | 0.554598 | + | 0.832118i | \(0.312872\pi\) | ||||
−0.554598 | + | 0.832118i | \(0.687128\pi\) | |||||||
\(314\) | 0.0496710 | + | 0.0367156i | 0.00280310 | + | 0.00207198i | ||||
\(315\) | 3.52180 | − | 1.34086i | 0.198431 | − | 0.0755487i | ||||
\(316\) | −15.3820 | − | 10.5206i | −0.865303 | − | 0.591829i | ||||
\(317\) | 0.375333 | + | 1.64444i | 0.0210808 | + | 0.0923611i | 0.984374 | − | 0.176091i | \(-0.0563452\pi\) |
−0.963293 | + | 0.268452i | \(0.913488\pi\) | |||||||
\(318\) | −4.53263 | − | 16.9661i | −0.254177 | − | 0.951414i | ||||
\(319\) | −5.03423 | + | 4.01466i | −0.281863 | + | 0.224778i | ||||
\(320\) | 7.14388 | − | 8.87708i | 0.399355 | − | 0.496244i | ||||
\(321\) | −2.39541 | + | 0.546738i | −0.133699 | + | 0.0305159i | ||||
\(322\) | −6.68695 | + | 7.60038i | −0.372649 | + | 0.423553i | ||||
\(323\) | −1.44846 | − | 0.330602i | −0.0805947 | − | 0.0183952i | ||||
\(324\) | 1.35818 | + | 1.46811i | 0.0754542 | + | 0.0815619i | ||||
\(325\) | 0.846133i | 0.0469350i | ||||||||
\(326\) | −7.44902 | − | 5.50614i | −0.412563 | − | 0.304957i | ||||
\(327\) | 9.07191 | − | 4.36880i | 0.501678 | − | 0.241595i | ||||
\(328\) | −5.31907 | − | 3.35867i | −0.293696 | − | 0.185452i | ||||
\(329\) | 1.82988 | − | 3.09599i | 0.100885 | − | 0.170687i | ||||
\(330\) | 7.22499 | − | 3.81169i | 0.397723 | − | 0.209827i | ||||
\(331\) | 20.9938 | + | 4.79169i | 1.15392 | + | 0.263375i | 0.756332 | − | 0.654188i | \(-0.226989\pi\) |
0.397590 | + | 0.917563i | \(0.369847\pi\) | |||||||
\(332\) | 11.2731 | − | 0.828042i | 0.618691 | − | 0.0454447i | ||||
\(333\) | −6.66786 | + | 3.21107i | −0.365396 | + | 0.175966i | ||||
\(334\) | −4.07376 | − | 15.2486i | −0.222906 | − | 0.834365i | ||||
\(335\) | −12.8826 | − | 6.20393i | −0.703851 | − | 0.338957i | ||||
\(336\) | 0.651800 | + | 10.5629i | 0.0355586 | + | 0.576254i | ||||
\(337\) | −10.7614 | + | 5.18239i | −0.586208 | + | 0.282303i | −0.703386 | − | 0.710808i | \(-0.748330\pi\) |
0.117178 | + | 0.993111i | \(0.462615\pi\) | |||||||
\(338\) | 11.9071 | + | 13.8570i | 0.647661 | + | 0.753723i | ||||
\(339\) | 4.34436 | + | 19.0339i | 0.235953 | + | 1.03378i | ||||
\(340\) | 0.159042 | + | 0.518321i | 0.00862526 | + | 0.0281099i | ||||
\(341\) | −11.8958 | − | 9.48662i | −0.644196 | − | 0.513729i | ||||
\(342\) | 10.1152 | + | 4.42212i | 0.546967 | + | 0.239121i | ||||
\(343\) | −16.9245 | + | 7.52063i | −0.913839 | + | 0.406076i | ||||
\(344\) | 14.6823 | − | 5.10103i | 0.791616 | − | 0.275029i | ||||
\(345\) | 2.40269 | − | 3.01288i | 0.129356 | − | 0.162208i | ||||
\(346\) | −11.5416 | + | 9.91754i | −0.620482 | + | 0.533170i | ||||
\(347\) | −16.7103 | + | 3.81402i | −0.897057 | + | 0.204747i | −0.646102 | − | 0.763251i | \(-0.723602\pi\) |
−0.250955 | + | 0.967999i | \(0.580745\pi\) | |||||||
\(348\) | 0.931516 | + | 3.03583i | 0.0499345 | + | 0.162738i | ||||
\(349\) | 8.36177 | + | 17.3634i | 0.447595 | + | 0.929441i | 0.995665 | + | 0.0930087i | \(0.0296484\pi\) |
−0.548070 | + | 0.836432i | \(0.684637\pi\) | |||||||
\(350\) | 10.7066 | + | 2.99488i | 0.572290 | + | 0.160083i | ||||
\(351\) | −0.123557 | + | 0.256569i | −0.00659498 | + | 0.0136946i | ||||
\(352\) | 4.18161 | + | 22.5565i | 0.222881 | + | 1.20226i | ||||
\(353\) | −8.15955 | − | 16.9435i | −0.434289 | − | 0.901811i | −0.997163 | − | 0.0752682i | \(-0.976019\pi\) |
0.562874 | − | 0.826543i | \(-0.309696\pi\) | |||||||
\(354\) | 2.25720 | − | 1.19083i | 0.119969 | − | 0.0632919i | ||||
\(355\) | 3.98168 | − | 17.4449i | 0.211326 | − | 0.925879i | ||||
\(356\) | −1.34894 | − | 18.3647i | −0.0714937 | − | 0.973327i | ||||
\(357\) | −0.433496 | − | 0.256218i | −0.0229431 | − | 0.0135605i | ||||
\(358\) | −23.8289 | + | 6.36605i | −1.25939 | + | 0.336456i | ||||
\(359\) | 10.8934 | + | 22.6205i | 0.574934 | + | 1.19386i | 0.962314 | + | 0.271942i | \(0.0876658\pi\) |
−0.387380 | + | 0.921920i | \(0.626620\pi\) | |||||||
\(360\) | −0.442181 | − | 4.00427i | −0.0233050 | − | 0.211044i | ||||
\(361\) | 41.9362 | 2.20717 | ||||||||
\(362\) | 4.20304 | − | 9.61407i | 0.220907 | − | 0.505304i | ||||
\(363\) | −1.21191 | + | 5.30971i | −0.0636086 | + | 0.278687i | ||||
\(364\) | −1.36519 | + | 0.637883i | −0.0715552 | + | 0.0334341i | ||||
\(365\) | 3.88656 | + | 17.0281i | 0.203432 | + | 0.891294i | ||||
\(366\) | 9.58793 | + | 1.82148i | 0.501169 | + | 0.0952101i | ||||
\(367\) | −4.91338 | − | 6.16119i | −0.256476 | − | 0.321611i | 0.636877 | − | 0.770965i | \(-0.280226\pi\) |
−0.893354 | + | 0.449354i | \(0.851654\pi\) | |||||||
\(368\) | 6.06993 | + | 8.95976i | 0.316417 | + | 0.467060i | ||||
\(369\) | −2.16834 | + | 0.494910i | −0.112879 | + | 0.0257640i | ||||
\(370\) | 14.6455 | + | 2.78229i | 0.761381 | + | 0.144644i | ||||
\(371\) | −11.6899 | − | 30.7039i | −0.606909 | − | 1.59407i | ||||
\(372\) | −6.50398 | + | 3.74226i | −0.337216 | + | 0.194027i | ||||
\(373\) | −22.6045 | −1.17042 | −0.585208 | − | 0.810883i | \(-0.698987\pi\) | ||||
−0.585208 | + | 0.810883i | \(0.698987\pi\) | |||||||
\(374\) | −1.00016 | − | 0.437244i | −0.0517168 | − | 0.0226093i | ||||
\(375\) | −11.0691 | − | 2.52644i | −0.571604 | − | 0.130465i | ||||
\(376\) | −2.71254 | − | 2.72459i | −0.139888 | − | 0.140510i | ||||
\(377\) | −0.353503 | + | 0.281909i | −0.0182063 | + | 0.0145191i | ||||
\(378\) | 2.80917 | + | 2.47155i | 0.144488 | + | 0.127123i | ||||
\(379\) | 29.7970 | + | 23.7623i | 1.53057 | + | 1.22059i | 0.892880 | + | 0.450295i | \(0.148681\pi\) |
0.637690 | + | 0.770293i | \(0.279890\pi\) | |||||||
\(380\) | −11.0901 | − | 19.2743i | −0.568908 | − | 0.988751i | ||||
\(381\) | −2.54582 | − | 2.03023i | −0.130426 | − | 0.104012i | ||||
\(382\) | 0.325027 | + | 8.86186i | 0.0166298 | + | 0.453412i | ||||
\(383\) | 5.07381 | + | 6.36236i | 0.259260 | + | 0.325101i | 0.894377 | − | 0.447315i | \(-0.147620\pi\) |
−0.635117 | + | 0.772416i | \(0.719048\pi\) | |||||||
\(384\) | 11.1054 | + | 2.16085i | 0.566722 | + | 0.110270i | ||||
\(385\) | 12.7142 | − | 8.47948i | 0.647977 | − | 0.432154i | ||||
\(386\) | −27.3409 | + | 1.00278i | −1.39161 | + | 0.0510403i | ||||
\(387\) | 2.38434 | − | 4.95113i | 0.121203 | − | 0.251680i | ||||
\(388\) | −10.5287 | − | 7.20119i | −0.534515 | − | 0.365585i | ||||
\(389\) | −9.22981 | − | 4.44484i | −0.467970 | − | 0.225362i | 0.185011 | − | 0.982736i | \(-0.440768\pi\) |
−0.652981 | + | 0.757374i | \(0.726482\pi\) | |||||||
\(390\) | 0.507338 | − | 0.267656i | 0.0256901 | − | 0.0135533i | ||||
\(391\) | −0.514938 | −0.0260415 | ||||||||
\(392\) | 3.23939 | + | 19.5322i | 0.163614 | + | 0.986524i | ||||
\(393\) | 15.9059 | 0.802349 | ||||||||
\(394\) | −9.96295 | + | 5.25615i | −0.501926 | + | 0.264801i | ||||
\(395\) | 11.9573 | + | 5.75835i | 0.601639 | + | 0.289734i | ||||
\(396\) | 6.69469 | + | 4.57888i | 0.336421 | + | 0.230097i | ||||
\(397\) | 6.11402 | − | 12.6959i | 0.306854 | − | 0.637189i | −0.689332 | − | 0.724446i | \(-0.742096\pi\) |
0.996186 | + | 0.0872568i | \(0.0278101\pi\) | |||||||
\(398\) | 24.5093 | − | 0.898928i | 1.22854 | − | 0.0450592i | ||||
\(399\) | 19.6724 | + | 6.28890i | 0.984852 | + | 0.314839i | ||||
\(400\) | 5.97299 | − | 10.2752i | 0.298649 | − | 0.513761i | ||||
\(401\) | −3.70460 | − | 4.64543i | −0.184999 | − | 0.231982i | 0.680680 | − | 0.732581i | \(-0.261684\pi\) |
−0.865679 | + | 0.500599i | \(0.833113\pi\) | |||||||
\(402\) | −0.520356 | − | 14.1875i | −0.0259530 | − | 0.707609i | ||||
\(403\) | −0.835325 | − | 0.666150i | −0.0416105 | − | 0.0331833i | ||||
\(404\) | −11.8338 | − | 20.5669i | −0.588754 | − | 1.02324i | ||||
\(405\) | −1.11359 | − | 0.888054i | −0.0553345 | − | 0.0441278i | ||||
\(406\) | 2.31592 | + | 5.47087i | 0.114937 | + | 0.271515i | ||||
\(407\) | −23.4651 | + | 18.7128i | −1.16312 | + | 0.927560i | ||||
\(408\) | −0.381495 | + | 0.379806i | −0.0188868 | + | 0.0188032i | ||||
\(409\) | −20.2417 | − | 4.62003i | −1.00089 | − | 0.228446i | −0.309475 | − | 0.950908i | \(-0.600153\pi\) |
−0.691411 | + | 0.722462i | \(0.743010\pi\) | |||||||
\(410\) | 4.10490 | + | 1.79456i | 0.202726 | + | 0.0886271i | ||||
\(411\) | −9.11397 | −0.449559 | ||||||||
\(412\) | 18.4338 | − | 10.6065i | 0.908168 | − | 0.522542i | ||||
\(413\) | 3.97212 | − | 2.64912i | 0.195455 | − | 0.130355i | ||||
\(414\) | 3.75901 | + | 0.714123i | 0.184745 | + | 0.0350972i | ||||
\(415\) | −7.84810 | + | 1.79128i | −0.385248 | + | 0.0879303i | ||||
\(416\) | 0.293632 | + | 1.58391i | 0.0143965 | + | 0.0776577i | ||||
\(417\) | 11.0967 | + | 13.9148i | 0.543408 | + | 0.681412i | ||||
\(418\) | 43.9833 | + | 8.35577i | 2.15129 | + | 0.408694i | ||||
\(419\) | −7.64293 | − | 33.4859i | −0.373382 | − | 1.63589i | −0.717208 | − | 0.696859i | \(-0.754580\pi\) |
0.343827 | − | 0.939033i | \(-0.388277\pi\) | |||||||
\(420\) | −1.59107 | − | 7.36698i | −0.0776364 | − | 0.359472i | ||||
\(421\) | 5.43018 | − | 23.7912i | 0.264651 | − | 1.15951i | −0.651491 | − | 0.758656i | \(-0.725856\pi\) |
0.916142 | − | 0.400854i | \(-0.131287\pi\) | |||||||
\(422\) | −12.1698 | + | 27.8373i | −0.592416 | + | 1.35510i | ||||
\(423\) | −1.35929 | −0.0660907 | ||||||||
\(424\) | −34.9101 | + | 3.85504i | −1.69539 | + | 0.187217i | ||||
\(425\) | 0.245367 | + | 0.509509i | 0.0119020 | + | 0.0247148i | ||||
\(426\) | 17.1645 | − | 4.58561i | 0.831621 | − | 0.222173i | ||||
\(427\) | 18.1922 | + | 1.55034i | 0.880384 | + | 0.0750261i | ||||
\(428\) | 0.359980 | + | 4.90083i | 0.0174003 | + | 0.236891i | ||||
\(429\) | −0.256979 | + | 1.12590i | −0.0124071 | + | 0.0543590i | ||||
\(430\) | −9.79036 | + | 5.16510i | −0.472133 | + | 0.249083i | ||||
\(431\) | −13.1412 | − | 27.2880i | −0.632990 | − | 1.31442i | −0.932792 | − | 0.360416i | \(-0.882635\pi\) |
0.299802 | − | 0.954002i | \(-0.403080\pi\) | |||||||
\(432\) | 3.31160 | − | 2.24350i | 0.159330 | − | 0.107940i | ||||
\(433\) | 11.5721 | − | 24.0297i | 0.556119 | − | 1.15479i | −0.413575 | − | 0.910470i | \(-0.635720\pi\) |
0.969694 | − | 0.244323i | \(-0.0785658\pi\) | |||||||
\(434\) | −11.3858 | + | 8.21197i | −0.546534 | + | 0.394187i | ||||
\(435\) | −0.981227 | − | 2.03754i | −0.0470463 | − | 0.0976926i | ||||
\(436\) | −5.90736 | − | 19.2522i | −0.282911 | − | 0.922013i | ||||
\(437\) | 20.5906 | − | 4.69966i | 0.984980 | − | 0.224815i | ||||
\(438\) | −13.1531 | + | 11.3023i | −0.628480 | + | 0.540043i | ||||
\(439\) | −9.79589 | + | 12.2837i | −0.467532 | + | 0.586267i | −0.958565 | − | 0.284874i | \(-0.908048\pi\) |
0.491033 | + | 0.871141i | \(0.336620\pi\) | |||||||
\(440\) | −5.36176 | − | 15.4327i | −0.255612 | − | 0.735727i | ||||
\(441\) | 5.70191 | + | 4.06056i | 0.271520 | + | 0.193360i | ||||
\(442\) | −0.0702309 | − | 0.0307032i | −0.00334054 | − | 0.00146040i | ||||
\(443\) | −0.531156 | − | 0.423583i | −0.0252360 | − | 0.0201250i | 0.610791 | − | 0.791792i | \(-0.290852\pi\) |
−0.636027 | + | 0.771667i | \(0.719423\pi\) | |||||||
\(444\) | 4.34191 | + | 14.1504i | 0.206058 | + | 0.671547i | ||||
\(445\) | 2.91812 | + | 12.7851i | 0.138332 | + | 0.606073i | ||||
\(446\) | −8.92136 | − | 10.3823i | −0.422439 | − | 0.491617i | ||||
\(447\) | −5.46659 | + | 2.63257i | −0.258561 | + | 0.124516i | ||||
\(448\) | 21.0814 | + | 1.89077i | 0.996002 | + | 0.0893307i | ||||
\(449\) | −9.44725 | − | 4.54955i | −0.445843 | − | 0.214707i | 0.197472 | − | 0.980309i | \(-0.436727\pi\) |
−0.643315 | + | 0.765602i | \(0.722441\pi\) | |||||||
\(450\) | −1.08457 | − | 4.05966i | −0.0511269 | − | 0.191374i | ||||
\(451\) | −8.12641 | + | 3.91347i | −0.382658 | + | 0.184278i | ||||
\(452\) | 38.9419 | − | 2.86040i | 1.83167 | − | 0.134542i | ||||
\(453\) | 14.8253 | + | 3.38378i | 0.696553 | + | 0.158984i | ||||
\(454\) | 33.7363 | − | 17.7983i | 1.58332 | − | 0.835314i | ||||
\(455\) | 0.892792 | − | 0.595429i | 0.0418547 | − | 0.0279141i | ||||
\(456\) | 11.7883 | − | 18.6689i | 0.552036 | − | 0.874250i | ||||
\(457\) | 16.4874 | − | 7.93992i | 0.771248 | − | 0.371414i | −0.00650846 | − | 0.999979i | \(-0.502072\pi\) |
0.777757 | + | 0.628565i | \(0.216357\pi\) | |||||||
\(458\) | −21.5133 | − | 15.9021i | −1.00525 | − | 0.743058i | ||||
\(459\) | 0.190326i | 0.00888364i | ||||||||
\(460\) | −5.23389 | − | 5.65754i | −0.244031 | − | 0.263784i | ||||
\(461\) | −24.5345 | − | 5.59985i | −1.14269 | − | 0.260811i | −0.391038 | − | 0.920374i | \(-0.627884\pi\) |
−0.751649 | + | 0.659564i | \(0.770741\pi\) | |||||||
\(462\) | 13.3370 | + | 7.23681i | 0.620494 | + | 0.336687i | ||||
\(463\) | 20.0692 | − | 4.58066i | 0.932694 | − | 0.212881i | 0.270935 | − | 0.962598i | \(-0.412667\pi\) |
0.661759 | + | 0.749717i | \(0.269810\pi\) | |||||||
\(464\) | 6.28289 | − | 0.928001i | 0.291676 | − | 0.0430814i | ||||
\(465\) | 4.17803 | − | 3.33187i | 0.193752 | − | 0.154512i | ||||
\(466\) | −5.34380 | − | 20.0025i | −0.247547 | − | 0.926596i | ||||
\(467\) | 0.468610 | + | 2.05312i | 0.0216847 | + | 0.0950068i | 0.984612 | − | 0.174753i | \(-0.0559128\pi\) |
−0.962928 | + | 0.269760i | \(0.913056\pi\) | |||||||
\(468\) | 0.470101 | + | 0.321528i | 0.0217304 | + | 0.0148627i | ||||
\(469\) | −3.69013 | − | 26.3027i | −0.170394 | − | 1.21454i | ||||
\(470\) | 2.20180 | + | 1.62752i | 0.101561 | + | 0.0750718i | ||||
\(471\) | − | 0.0436764i | − | 0.00201250i | ||||||
\(472\) | −1.67510 | − | 4.82142i | −0.0771025 | − | 0.221924i | ||||
\(473\) | 4.95906 | − | 21.7271i | 0.228018 | − | 0.999011i | ||||
\(474\) | 0.482983 | + | 13.1685i | 0.0221842 | + | 0.604851i | ||||
\(475\) | −14.4614 | − | 18.1341i | −0.663537 | − | 0.832049i | ||||
\(476\) | −0.637086 | + | 0.779993i | −0.0292008 | + | 0.0357509i | ||||
\(477\) | −7.74226 | + | 9.70849i | −0.354494 | + | 0.444521i | ||||
\(478\) | −12.9318 | − | 9.55886i | −0.591486 | − | 0.437212i | ||||
\(479\) | 11.3019 | − | 14.1722i | 0.516398 | − | 0.647542i | −0.453442 | − | 0.891286i | \(-0.649804\pi\) |
0.969840 | + | 0.243743i | \(0.0783755\pi\) | |||||||
\(480\) | −8.05042 | − | 0.331029i | −0.367450 | − | 0.0151093i | ||||
\(481\) | −1.64772 | + | 1.31401i | −0.0751296 | + | 0.0599138i | ||||
\(482\) | 2.05578 | − | 1.76650i | 0.0936382 | − | 0.0804618i | ||||
\(483\) | 7.13240 | + | 0.607820i | 0.324535 | + | 0.0276568i | ||||
\(484\) | 10.1337 | + | 3.99447i | 0.460621 | + | 0.181567i | ||||
\(485\) | 8.18463 | + | 3.94151i | 0.371645 | + | 0.178975i | ||||
\(486\) | 0.263946 | − | 1.38936i | 0.0119728 | − | 0.0630228i | ||||
\(487\) | −3.85320 | + | 8.00126i | −0.174605 | + | 0.362572i | −0.969845 | − | 0.243724i | \(-0.921631\pi\) |
0.795239 | + | 0.606296i | \(0.207345\pi\) | |||||||
\(488\) | 6.48750 | − | 18.4091i | 0.293675 | − | 0.833343i | ||||
\(489\) | 6.55002i | 0.296202i | ||||||||
\(490\) | −4.37423 | − | 13.4045i | −0.197608 | − | 0.605552i | ||||
\(491\) | 28.7534i | 1.29762i | 0.760949 | + | 0.648812i | \(0.224734\pi\) | ||||
−0.760949 | + | 0.648812i | \(0.775266\pi\) | |||||||
\(492\) | 0.325856 | + | 4.43626i | 0.0146907 | + | 0.200002i | ||||
\(493\) | −0.131116 | + | 0.272266i | −0.00590518 | + | 0.0122622i | ||||
\(494\) | 3.08850 | + | 0.586741i | 0.138958 | + | 0.0263987i | ||||
\(495\) | −5.20420 | − | 2.50621i | −0.233911 | − | 0.112646i | ||||
\(496\) | 5.44152 | + | 13.9862i | 0.244332 | + | 0.628001i | ||||
\(497\) | 31.0628 | − | 11.8265i | 1.39336 | − | 0.530493i | ||||
\(498\) | −5.20909 | − | 6.06214i | −0.233425 | − | 0.271651i | ||||
\(499\) | −14.0042 | + | 11.1680i | −0.626916 | + | 0.499949i | −0.884643 | − | 0.466269i | \(-0.845598\pi\) |
0.257727 | + | 0.966218i | \(0.417026\pi\) | |||||||
\(500\) | −8.32721 | + | 21.1255i | −0.372404 | + | 0.944761i | ||||
\(501\) | −6.95847 | + | 8.72565i | −0.310882 | + | 0.389833i | ||||
\(502\) | −9.92424 | + | 13.4261i | −0.442941 | + | 0.599235i | ||||
\(503\) | −8.24839 | + | 10.3432i | −0.367778 | + | 0.461179i | −0.930942 | − | 0.365166i | \(-0.881012\pi\) |
0.563165 | + | 0.826345i | \(0.309584\pi\) | |||||||
\(504\) | 5.73239 | − | 4.81038i | 0.255341 | − | 0.214271i | ||||
\(505\) | 10.5361 | + | 13.2118i | 0.468848 | + | 0.587917i | ||||
\(506\) | 15.5065 | − | 0.568734i | 0.689349 | − | 0.0252833i | ||||
\(507\) | 2.87473 | − | 12.5950i | 0.127671 | − | 0.559364i | ||||
\(508\) | −4.78052 | + | 4.42254i | −0.212101 | + | 0.196218i | ||||
\(509\) | 38.5070i | 1.70679i | 0.521262 | + | 0.853397i | \(0.325462\pi\) | ||||
−0.521262 | + | 0.853397i | \(0.674538\pi\) | |||||||
\(510\) | 0.227883 | − | 0.308293i | 0.0100908 | − | 0.0136515i | ||||
\(511\) | −22.3093 | + | 23.5564i | −0.986903 | + | 1.04208i | ||||
\(512\) | 7.61530 | − | 21.3074i | 0.336552 | − | 0.941665i | ||||
\(513\) | −1.73704 | − | 7.61045i | −0.0766920 | − | 0.336010i | ||||
\(514\) | 35.9882 | − | 9.61450i | 1.58737 | − | 0.424078i | ||||
\(515\) | −11.8415 | + | 9.44330i | −0.521800 | + | 0.416122i | ||||
\(516\) | −9.07177 | − | 6.20469i | −0.399362 | − | 0.273146i | ||||
\(517\) | −5.37424 | + | 1.22663i | −0.236359 | + | 0.0539473i | ||||
\(518\) | 10.7948 | + | 25.5004i | 0.474296 | + | 1.12042i | ||||
\(519\) | 10.4905 | + | 2.39439i | 0.460481 | + | 0.105102i | ||||
\(520\) | −0.376502 | − | 1.08369i | −0.0165107 | − | 0.0475228i | ||||
\(521\) | − | 0.0558531i | − | 0.00244697i | −0.999999 | − | 0.00122348i | \(-0.999611\pi\) | ||
0.999999 | − | 0.00122348i | \(-0.000389447\pi\) | |||||||
\(522\) | 1.33472 | − | 1.80569i | 0.0584192 | − | 0.0790328i | ||||
\(523\) | −18.7479 | + | 9.02849i | −0.819786 | + | 0.394788i | −0.796275 | − | 0.604935i | \(-0.793199\pi\) |
−0.0235117 | + | 0.999724i | \(0.507485\pi\) | |||||||
\(524\) | 4.78782 | − | 31.4495i | 0.209157 | − | 1.37388i | ||||
\(525\) | −2.79715 | − | 7.34682i | −0.122078 | − | 0.320642i | ||||
\(526\) | 3.55074 | + | 6.73037i | 0.154820 | + | 0.293458i | ||||
\(527\) | −0.696175 | − | 0.158897i | −0.0303259 | − | 0.00692168i | ||||
\(528\) | 11.0686 | − | 11.8586i | 0.481699 | − | 0.516079i | ||||
\(529\) | −14.1271 | + | 6.80326i | −0.614223 | + | 0.295794i | ||||
\(530\) | 24.1654 | − | 6.45595i | 1.04968 | − | 0.280428i | ||||
\(531\) | −1.62587 | − | 0.782978i | −0.0705568 | − | 0.0339783i | ||||
\(532\) | 18.3561 | − | 37.0036i | 0.795837 | − | 1.60431i | ||||
\(533\) | −0.570636 | + | 0.274804i | −0.0247170 | + | 0.0119031i | ||||
\(534\) | −9.87566 | + | 8.48599i | −0.427362 | + | 0.367225i | ||||
\(535\) | −0.778734 | − | 3.41186i | −0.0336676 | − | 0.147507i | ||||
\(536\) | −28.2084 | − | 3.24170i | −1.21842 | − | 0.140020i | ||||
\(537\) | 13.6355 | + | 10.8740i | 0.588416 | + | 0.469246i | ||||
\(538\) | −10.5077 | + | 24.0354i | −0.453019 | + | 1.03624i | ||||
\(539\) | 26.2081 | + | 10.9089i | 1.12886 | + | 0.469878i | ||||
\(540\) | −2.09108 | + | 1.93449i | −0.0899856 | + | 0.0832472i | ||||
\(541\) | −26.0072 | + | 32.6120i | −1.11814 | + | 1.40210i | −0.212960 | + | 0.977061i | \(0.568310\pi\) |
−0.905176 | + | 0.425037i | \(0.860261\pi\) | |||||||
\(542\) | 25.6255 | + | 29.8220i | 1.10071 | + | 1.28096i | ||||
\(543\) | −7.23341 | + | 1.65098i | −0.310415 | + | 0.0708503i | ||||
\(544\) | 0.636127 | + | 0.868623i | 0.0272737 | + | 0.0372419i | ||||
\(545\) | 6.22261 | + | 12.9214i | 0.266547 | + | 0.553491i | ||||
\(546\) | 0.936525 | + | 0.508168i | 0.0400795 | + | 0.0217476i | ||||
\(547\) | 15.0596 | − | 31.2716i | 0.643902 | − | 1.33708i | −0.282037 | − | 0.959404i | \(-0.591010\pi\) |
0.925939 | − | 0.377673i | \(-0.123276\pi\) | |||||||
\(548\) | −2.74338 | + | 18.0203i | −0.117191 | + | 0.769790i | ||||
\(549\) | −2.99421 | − | 6.21754i | −0.127790 | − | 0.265358i | ||||
\(550\) | −7.95155 | − | 15.0720i | −0.339055 | − | 0.642673i | ||||
\(551\) | 2.75800 | − | 12.0836i | 0.117495 | − | 0.514779i | ||||
\(552\) | 2.54347 | − | 7.21744i | 0.108257 | − | 0.307194i | ||||
\(553\) | 3.42510 | + | 24.4136i | 0.145650 | + | 1.03817i | ||||
\(554\) | 1.52311 | + | 5.70120i | 0.0647109 | + | 0.242221i | ||||
\(555\) | −4.57362 | − | 9.49722i | −0.194139 | − | 0.403135i | ||||
\(556\) | 30.8529 | − | 17.7521i | 1.30845 | − | 0.752858i | ||||
\(557\) | 42.3809 | 1.79574 | 0.897869 | − | 0.440263i | \(-0.145115\pi\) | ||||
0.897869 | + | 0.440263i | \(0.145115\pi\) | |||||||
\(558\) | 4.86167 | + | 2.12540i | 0.205811 | + | 0.0899755i | ||||
\(559\) | 0.348225 | − | 1.52567i | 0.0147283 | − | 0.0645290i | ||||
\(560\) | −15.0451 | + | 0.928377i | −0.635770 | + | 0.0392311i | ||||
\(561\) | 0.171752 | + | 0.752495i | 0.00725137 | + | 0.0317703i | ||||
\(562\) | 4.84021 | − | 25.4780i | 0.204172 | − | 1.07473i | ||||
\(563\) | 26.1401 | + | 32.7787i | 1.10167 | + | 1.38146i | 0.917109 | + | 0.398636i | \(0.130516\pi\) |
0.184566 | + | 0.982820i | \(0.440912\pi\) | |||||||
\(564\) | −0.409156 | + | 2.68761i | −0.0172286 | + | 0.113169i | ||||
\(565\) | −27.1105 | + | 6.18780i | −1.14055 | + | 0.260323i | ||||
\(566\) | −2.23824 | + | 11.7817i | −0.0940804 | + | 0.495222i | ||||
\(567\) | 0.224656 | − | 2.63620i | 0.00943465 | − | 0.110710i | ||||
\(568\) | −3.90010 | − | 35.3182i | −0.163645 | − | 1.48192i | ||||
\(569\) | −11.3438 | −0.475558 | −0.237779 | − | 0.971319i | \(-0.576419\pi\) | ||||
−0.237779 | + | 0.971319i | \(0.576419\pi\) | |||||||
\(570\) | −6.29855 | + | 14.4074i | −0.263817 | + | 0.603458i | ||||
\(571\) | 19.3543 | + | 4.41749i | 0.809952 | + | 0.184866i | 0.607391 | − | 0.794403i | \(-0.292216\pi\) |
0.202562 | + | 0.979270i | \(0.435073\pi\) | |||||||
\(572\) | 2.14880 | + | 0.847010i | 0.0898458 | + | 0.0354153i | ||||
\(573\) | 4.90247 | − | 3.90959i | 0.204804 | − | 0.163325i | ||||
\(574\) | 1.45747 | + | 8.19322i | 0.0608336 | + | 0.341978i | ||||
\(575\) | −6.28515 | − | 5.01224i | −0.262109 | − | 0.209025i | ||||
\(576\) | −3.43906 | − | 7.22308i | −0.143294 | − | 0.300962i | ||||
\(577\) | −16.7689 | − | 13.3728i | −0.698099 | − | 0.556716i | 0.208854 | − | 0.977947i | \(-0.433027\pi\) |
−0.906953 | + | 0.421231i | \(0.861598\pi\) | |||||||
\(578\) | 23.9743 | − | 0.879306i | 0.997199 | − | 0.0365743i | ||||
\(579\) | 12.0620 | + | 15.1253i | 0.501279 | + | 0.628584i | ||||
\(580\) | −4.32402 | + | 1.32678i | −0.179545 | + | 0.0550917i | ||||
\(581\) | −10.8569 | − | 10.2821i | −0.450421 | − | 0.426574i | ||||
\(582\) | 0.330595 | + | 9.01368i | 0.0137036 | + | 0.373629i | ||||
\(583\) | −21.8497 | + | 45.3714i | −0.904922 | + | 1.87909i | ||||
\(584\) | 18.3878 | + | 29.4087i | 0.760894 | + | 1.21694i | ||||
\(585\) | −0.365438 | − | 0.175986i | −0.0151090 | − | 0.00727611i | ||||
\(586\) | 5.17427 | + | 9.80773i | 0.213747 | + | 0.405154i | ||||
\(587\) | 11.0746 | 0.457097 | 0.228549 | − | 0.973533i | \(-0.426602\pi\) | ||||
0.228549 | + | 0.973533i | \(0.426602\pi\) | |||||||
\(588\) | 9.74495 | − | 10.0517i | 0.401875 | − | 0.414524i | ||||
\(589\) | 29.2878 | 1.20678 | ||||||||
\(590\) | 1.69613 | + | 3.21499i | 0.0698287 | + | 0.132359i | ||||
\(591\) | 7.17636 | + | 3.45595i | 0.295196 | + | 0.142159i | ||||
\(592\) | 29.2853 | − | 4.32552i | 1.20362 | − | 0.177778i | ||||
\(593\) | −9.40102 | + | 19.5214i | −0.386054 | + | 0.801649i | 0.613871 | + | 0.789406i | \(0.289611\pi\) |
−0.999925 | + | 0.0122426i | \(0.996103\pi\) | |||||||
\(594\) | −0.210209 | − | 5.73135i | −0.00862498 | − | 0.235160i | ||||
\(595\) | 0.364939 | − | 0.617441i | 0.0149611 | − | 0.0253126i | ||||
\(596\) | 3.55968 | + | 11.6011i | 0.145810 | + | 0.475199i | ||||
\(597\) | −10.8128 | − | 13.5588i | −0.442537 | − | 0.554924i | ||||
\(598\) | 1.08887 | − | 0.0399364i | 0.0445271 | − | 0.00163312i | ||||
\(599\) | 14.4887 | + | 11.5543i | 0.591991 | + | 0.472097i | 0.873075 | − | 0.487586i | \(-0.162122\pi\) |
−0.281084 | + | 0.959683i | \(0.590694\pi\) | |||||||
\(600\) | −8.35329 | + | 0.922433i | −0.341022 | + | 0.0376582i | ||||
\(601\) | −6.07987 | − | 4.84853i | −0.248003 | − | 0.197776i | 0.491596 | − | 0.870823i | \(-0.336414\pi\) |
−0.739599 | + | 0.673047i | \(0.764985\pi\) | |||||||
\(602\) | −18.0726 | − | 9.80638i | −0.736583 | − | 0.399678i | ||||
\(603\) | −7.84867 | + | 6.25911i | −0.319623 | + | 0.254891i | ||||
\(604\) | 11.1530 | − | 28.2943i | 0.453809 | − | 1.15128i | ||||
\(605\) | −7.56277 | − | 1.72615i | −0.307470 | − | 0.0701781i | ||||
\(606\) | −6.72096 | + | 15.3736i | −0.273020 | + | 0.624509i | ||||
\(607\) | −41.5798 | −1.68767 | −0.843835 | − | 0.536602i | \(-0.819707\pi\) | ||||
−0.843835 | + | 0.536602i | \(0.819707\pi\) | |||||||
\(608\) | −33.3641 | − | 28.9275i | −1.35309 | − | 1.17316i | ||||
\(609\) | 2.13747 | − | 3.61638i | 0.0866145 | − | 0.146543i | ||||
\(610\) | −2.59438 | + | 13.6564i | −0.105043 | + | 0.552930i | ||||
\(611\) | −0.377379 | + | 0.0861342i | −0.0152671 | + | 0.00348462i | ||||
\(612\) | 0.376315 | + | 0.0572896i | 0.0152117 | + | 0.00231580i | ||||
\(613\) | −12.0191 | − | 15.0715i | −0.485447 | − | 0.608731i | 0.477431 | − | 0.878669i | \(-0.341568\pi\) |
−0.962878 | + | 0.269939i | \(0.912997\pi\) | |||||||
\(614\) | 2.41450 | − | 12.7095i | 0.0974412 | − | 0.512913i | ||||
\(615\) | −0.704915 | − | 3.08843i | −0.0284249 | − | 0.124538i | ||||
\(616\) | 18.3233 | − | 24.1919i | 0.738268 | − | 0.974718i | ||||
\(617\) | −5.88122 | + | 25.7673i | −0.236769 | + | 1.03735i | 0.707121 | + | 0.707093i | \(0.249994\pi\) |
−0.943890 | + | 0.330260i | \(0.892864\pi\) | |||||||
\(618\) | −13.7791 | − | 6.02389i | −0.554277 | − | 0.242316i | ||||
\(619\) | −9.71176 | −0.390348 | −0.195174 | − | 0.980769i | \(-0.562527\pi\) | ||||
−0.195174 | + | 0.980769i | \(0.562527\pi\) | |||||||
\(620\) | −5.33022 | − | 9.26381i | −0.214067 | − | 0.372044i | ||||
\(621\) | −1.17390 | − | 2.43763i | −0.0471070 | − | 0.0978187i | ||||
\(622\) | −8.04839 | − | 30.1261i | −0.322711 | − | 1.20795i | ||||
\(623\) | −16.7503 | + | 17.6867i | −0.671087 | + | 0.708603i | ||||
\(624\) | 0.777236 | − | 0.832709i | 0.0311144 | − | 0.0333350i | ||||
\(625\) | 0.292618 | − | 1.28204i | 0.0117047 | − | 0.0512817i | ||||
\(626\) | −19.4295 | − | 36.8282i | −0.776558 | − | 1.47195i | ||||
\(627\) | −13.7355 | − | 28.5221i | −0.548543 | − | 1.13906i | ||||
\(628\) | −0.0863577 | − | 0.0131469i | −0.00344605 | − | 0.000524620i | ||||
\(629\) | −0.611149 | + | 1.26906i | −0.0243681 | + | 0.0506009i | ||||
\(630\) | −3.52031 | + | 4.00118i | −0.140252 | + | 0.159411i | ||||
\(631\) | 1.23201 | + | 2.55829i | 0.0490455 | + | 0.101844i | 0.924051 | − | 0.382268i | \(-0.124857\pi\) |
−0.875006 | + | 0.484112i | \(0.839143\pi\) | |||||||
\(632\) | 26.1825 | + | 3.00888i | 1.04148 | + | 0.119687i | ||||
\(633\) | 20.9442 | − | 4.78037i | 0.832455 | − | 0.190002i | ||||
\(634\) | −1.55463 | − | 1.80922i | −0.0617422 | − | 0.0718531i | ||||
\(635\) | 2.89171 | − | 3.62609i | 0.114754 | − | 0.143897i | ||||
\(636\) | 16.8653 | + | 18.2305i | 0.668754 | + | 0.722886i | ||||
\(637\) | 1.84033 | + | 0.766020i | 0.0729165 | + | 0.0303508i | ||||
\(638\) | 3.64764 | − | 8.34366i | 0.144412 | − | 0.330328i | ||||
\(639\) | −9.82197 | − | 7.83276i | −0.388551 | − | 0.309859i | ||||
\(640\) | −3.07776 | + | 15.8178i | −0.121659 | + | 0.625253i | ||||
\(641\) | −8.86521 | − | 38.8410i | −0.350155 | − | 1.53413i | −0.776823 | − | 0.629719i | \(-0.783170\pi\) |
0.426668 | − | 0.904408i | \(-0.359687\pi\) | |||||||
\(642\) | 2.63543 | − | 2.26459i | 0.104012 | − | 0.0893761i | ||||
\(643\) | 9.37133 | − | 4.51300i | 0.369569 | − | 0.177975i | −0.239876 | − | 0.970804i | \(-0.577107\pi\) |
0.609445 | + | 0.792828i | \(0.291392\pi\) | |||||||
\(644\) | 3.34870 | − | 13.9194i | 0.131957 | − | 0.548499i | ||||
\(645\) | 7.05204 | + | 3.39608i | 0.277674 | + | 0.133721i | ||||
\(646\) | 2.02992 | − | 0.542308i | 0.0798663 | − | 0.0213368i | ||||
\(647\) | −14.5023 | + | 6.98393i | −0.570143 | + | 0.274567i | −0.696664 | − | 0.717397i | \(-0.745333\pi\) |
0.126521 | + | 0.991964i | \(0.459619\pi\) | |||||||
\(648\) | −2.66763 | − | 0.940089i | −0.104794 | − | 0.0369302i | ||||
\(649\) | −7.13481 | − | 1.62847i | −0.280066 | − | 0.0639231i | ||||
\(650\) | −0.558357 | − | 1.05836i | −0.0219006 | − | 0.0415122i | ||||
\(651\) | 9.45515 | + | 3.02263i | 0.370576 | + | 0.118466i | ||||
\(652\) | 12.9508 | + | 1.97161i | 0.507193 | + | 0.0772142i | ||||
\(653\) | 43.6296 | − | 21.0109i | 1.70736 | − | 0.822221i | 0.714960 | − | 0.699165i | \(-0.246445\pi\) |
0.992400 | − | 0.123056i | \(-0.0392694\pi\) | |||||||
\(654\) | −8.46435 | + | 11.4511i | −0.330982 | + | 0.447772i | ||||
\(655\) | 22.6553i | 0.885215i | ||||||||
\(656\) | 8.86954 | + | 0.691062i | 0.346297 | + | 0.0269814i | ||||
\(657\) | 11.9552 | + | 2.72870i | 0.466417 | + | 0.106457i | ||||
\(658\) | −0.245830 | + | 5.08004i | −0.00958344 | + | 0.198040i | ||||
\(659\) | −9.58250 | + | 2.18714i | −0.373281 | + | 0.0851990i | −0.405046 | − | 0.914296i | \(-0.632744\pi\) |
0.0317646 | + | 0.999495i | \(0.489887\pi\) | |||||||
\(660\) | −6.52183 | + | 9.53544i | −0.253862 | + | 0.371167i | ||||
\(661\) | −23.5610 | + | 18.7893i | −0.916417 | + | 0.730818i | −0.963397 | − | 0.268078i | \(-0.913612\pi\) |
0.0469806 | + | 0.998896i | \(0.485040\pi\) | |||||||
\(662\) | −29.4214 | + | 7.86012i | −1.14349 | + | 0.305492i | ||||
\(663\) | 0.0120604 | + | 0.0528401i | 0.000468388 | + | 0.00205214i | ||||
\(664\) | −13.5541 | + | 8.47477i | −0.526003 | + | 0.328885i | ||||
\(665\) | −8.95746 | + | 28.0200i | −0.347355 | + | 1.08657i | ||||
\(666\) | 6.22130 | − | 8.41653i | 0.241070 | − | 0.326134i | ||||
\(667\) | − | 4.29580i | − | 0.166334i | ||||||
\(668\) | 15.1580 | + | 16.3849i | 0.586479 | + | 0.633951i | ||||
\(669\) | −2.15388 | + | 9.43676i | −0.0832738 | + | 0.364846i | ||||
\(670\) | 20.2077 | − | 0.741158i | 0.780691 | − | 0.0286334i | ||||
\(671\) | −17.4490 | − | 21.8804i | −0.673613 | − | 0.844684i | ||||
\(672\) | −7.78568 | − | 12.7821i | −0.300339 | − | 0.493082i | ||||
\(673\) | −16.2393 | + | 20.3634i | −0.625978 | + | 0.784952i | −0.989172 | − | 0.146762i | \(-0.953115\pi\) |
0.363194 | + | 0.931714i | \(0.381686\pi\) | |||||||
\(674\) | 10.0406 | − | 13.5836i | 0.386751 | − | 0.523219i | ||||
\(675\) | −1.85257 | + | 2.32305i | −0.0713054 | + | 0.0894141i | ||||
\(676\) | −24.0378 | − | 9.47516i | −0.924529 | − | 0.364429i | ||||
\(677\) | 21.4268 | − | 17.0873i | 0.823499 | − | 0.656718i | −0.118269 | − | 0.992982i | \(-0.537735\pi\) |
0.941768 | + | 0.336263i | \(0.109163\pi\) | |||||||
\(678\) | −17.9943 | − | 20.9411i | −0.691069 | − | 0.804238i | ||||
\(679\) | 2.34443 | + | 16.7107i | 0.0899710 | + | 0.641299i | ||||
\(680\) | −0.540969 | − | 0.543374i | −0.0207452 | − | 0.0208374i | ||||
\(681\) | −24.3004 | − | 11.7025i | −0.931195 | − | 0.448440i | ||||
\(682\) | 21.1397 | + | 4.01603i | 0.809480 | + | 0.153782i | ||||
\(683\) | 14.3160 | − | 29.7276i | 0.547788 | − | 1.13749i | −0.424871 | − | 0.905254i | \(-0.639680\pi\) |
0.972659 | − | 0.232239i | \(-0.0746053\pi\) | |||||||
\(684\) | −15.5704 | + | 1.14369i | −0.595349 | + | 0.0437301i | ||||
\(685\) | − | 12.9813i | − | 0.495990i | ||||||
\(686\) | 16.2067 | − | 20.5753i | 0.618774 | − | 0.785569i | ||||
\(687\) | 18.9169i | 0.721726i | ||||||||
\(688\) | −14.9987 | + | 16.0692i | −0.571821 | + | 0.612633i | ||||
\(689\) | −1.53428 | + | 3.18597i | −0.0584516 | + | 0.121376i | ||||
\(690\) | −1.01715 | + | 5.35407i | −0.0387221 | + | 0.203826i | ||||
\(691\) | 7.85280 | + | 3.78171i | 0.298734 | + | 0.143863i | 0.577247 | − | 0.816570i | \(-0.304127\pi\) |
−0.278512 | + | 0.960433i | \(0.589841\pi\) | |||||||
\(692\) | 7.89195 | − | 20.0213i | 0.300007 | − | 0.761094i | ||||
\(693\) | −1.49071 | − | 10.6255i | −0.0566273 | − | 0.403630i | ||||
\(694\) | 18.3847 | − | 15.7977i | 0.697873 | − | 0.599671i | ||||
\(695\) | −19.8193 | + | 15.8054i | −0.751789 | + | 0.599531i | ||||
\(696\) | −3.16848 | − | 3.18256i | −0.120101 | − | 0.120635i | ||||
\(697\) | −0.263926 | + | 0.330953i | −0.00999691 | + | 0.0125357i | ||||
\(698\) | −21.9170 | − | 16.2005i | −0.829571 | − | 0.613199i | ||||
\(699\) | −9.12785 | + | 11.4460i | −0.345247 | + | 0.432926i | ||||
\(700\) | −15.3682 | + | 3.31913i | −0.580865 | + | 0.125451i | ||||
\(701\) | 22.6571 | + | 28.4111i | 0.855747 | + | 1.07307i | 0.996547 | + | 0.0830345i | \(0.0264612\pi\) |
−0.140800 | + | 0.990038i | \(0.544967\pi\) | |||||||
\(702\) | −0.0147609 | − | 0.402455i | −0.000557113 | − | 0.0151897i | ||||
\(703\) | 12.8554 | − | 56.3231i | 0.484850 | − | 2.12427i | ||||
\(704\) | −20.1153 | − | 25.4546i | −0.758123 | − | 0.959356i | ||||
\(705\) | − | 1.93607i | − | 0.0729166i | ||||||
\(706\) | 21.3870 | + | 15.8088i | 0.804910 | + | 0.594970i | ||||
\(707\) | −9.55818 | + | 29.8991i | −0.359472 | + | 1.12447i | ||||
\(708\) | −2.03752 | + | 2.97902i | −0.0765746 | + | 0.111958i | ||||
\(709\) | 0.829921 | + | 3.63612i | 0.0311683 | + | 0.136557i | 0.988118 | − | 0.153696i | \(-0.0491176\pi\) |
−0.956950 | + | 0.290253i | \(0.906260\pi\) | |||||||
\(710\) | 6.53141 | + | 24.4478i | 0.245120 | + | 0.917511i | ||||
\(711\) | 7.28497 | − | 5.80957i | 0.273208 | − | 0.217876i | ||||
\(712\) | 13.8060 | + | 22.0807i | 0.517402 | + | 0.827509i | ||||
\(713\) | 9.89644 | − | 2.25880i | 0.370625 | − | 0.0845926i | ||||
\(714\) | 0.711301 | + | 0.0344208i | 0.0266198 | + | 0.00128817i | ||||
\(715\) | −1.60365 | − | 0.366023i | −0.0599732 | − | 0.0136885i | ||||
\(716\) | 25.6046 | − | 23.6872i | 0.956889 | − | 0.885234i | ||||
\(717\) | 11.3711i | 0.424661i | ||||||||
\(718\) | −28.5528 | − | 21.1055i | −1.06558 | − | 0.787651i | ||||
\(719\) | −6.63579 | + | 3.19563i | −0.247473 | + | 0.119177i | −0.553509 | − | 0.832843i | \(-0.686712\pi\) |
0.306036 | + | 0.952020i | \(0.400997\pi\) | |||||||
\(720\) | 3.19548 | + | 4.71681i | 0.119088 | + | 0.175785i | ||||
\(721\) | −26.7981 | − | 8.56685i | −0.998013 | − | 0.319046i | ||||
\(722\) | −52.4545 | + | 27.6734i | −1.95215 | + | 1.02990i | ||||
\(723\) | −1.86855 | − | 0.426484i | −0.0694921 | − | 0.0158611i | ||||
\(724\) | 1.08703 | + | 14.7990i | 0.0403991 | + | 0.550000i | ||||
\(725\) | −4.25050 | + | 2.04694i | −0.157860 | + | 0.0760213i | ||||
\(726\) | −1.98797 | − | 7.44120i | −0.0737804 | − | 0.276169i | ||||
\(727\) | 32.9993 | + | 15.8916i | 1.22387 | + | 0.589387i | 0.930388 | − | 0.366576i | \(-0.119470\pi\) |
0.293487 | + | 0.955963i | \(0.405184\pi\) | |||||||
\(728\) | 1.28666 | − | 1.69875i | 0.0476869 | − | 0.0629599i | ||||
\(729\) | −0.900969 | + | 0.433884i | −0.0333692 | + | 0.0160698i | ||||
\(730\) | −16.0981 | − | 18.7344i | −0.595818 | − | 0.693390i | ||||
\(731\) | −0.232736 | − | 1.01968i | −0.00860804 | − | 0.0377143i | ||||
\(732\) | −13.1947 | + | 4.04867i | −0.487691 | + | 0.149643i | ||||
\(733\) | −34.2315 | − | 27.2987i | −1.26437 | − | 1.00830i | −0.999025 | − | 0.0441464i | \(-0.985943\pi\) |
−0.265344 | − | 0.964154i | \(-0.585485\pi\) | |||||||
\(734\) | 10.2115 | + | 4.46420i | 0.376912 | + | 0.164777i | ||||
\(735\) | −5.78358 | + | 8.12140i | −0.213330 | + | 0.299562i | ||||
\(736\) | −13.5048 | − | 7.20151i | −0.497795 | − | 0.265451i | ||||
\(737\) | −25.3832 | + | 31.8295i | −0.935001 | + | 1.17245i | ||||
\(738\) | 2.38561 | − | 2.04992i | 0.0878155 | − | 0.0754584i | ||||
\(739\) | 3.12976 | − | 0.714347i | 0.115130 | − | 0.0262777i | −0.164568 | − | 0.986366i | \(-0.552623\pi\) |
0.279698 | + | 0.960088i | \(0.409766\pi\) | |||||||
\(740\) | −20.1548 | + | 6.18431i | −0.740904 | + | 0.227340i | ||||
\(741\) | −0.964506 | − | 2.00282i | −0.0354320 | − | 0.0735753i | ||||
\(742\) | 34.8832 | + | 30.6908i | 1.28060 | + | 1.12670i | ||||
\(743\) | 14.6026 | − | 30.3227i | 0.535719 | − | 1.11243i | −0.440921 | − | 0.897546i | \(-0.645348\pi\) |
0.976639 | − | 0.214885i | \(-0.0689377\pi\) | |||||||
\(744\) | 5.66579 | − | 8.97282i | 0.207718 | − | 0.328959i | ||||
\(745\) | −3.74965 | − | 7.78623i | −0.137376 | − | 0.285265i | ||||
\(746\) | 28.2741 | − | 14.9166i | 1.03519 | − | 0.546134i | ||||
\(747\) | −1.25763 | + | 5.51003i | −0.0460142 | + | 0.201602i | ||||
\(748\) | 1.53955 | − | 0.113084i | 0.0562914 | − | 0.00413476i | ||||
\(749\) | 4.47001 | − | 4.71991i | 0.163331 | − | 0.172462i | ||||
\(750\) | 15.5126 | − | 4.14429i | 0.566439 | − | 0.151328i | ||||
\(751\) | 10.8932 | + | 22.6199i | 0.397498 | + | 0.825413i | 0.999635 | + | 0.0270203i | \(0.00860188\pi\) |
−0.602137 | + | 0.798393i | \(0.705684\pi\) | |||||||
\(752\) | 5.19082 | + | 1.61798i | 0.189290 | + | 0.0590018i | ||||
\(753\) | 11.8057 | 0.430225 | ||||||||
\(754\) | 0.256137 | − | 0.585891i | 0.00932797 | − | 0.0213369i | ||||
\(755\) | −4.81961 | + | 21.1161i | −0.175404 | + | 0.768493i | ||||
\(756\) | −5.14471 | − | 1.23771i | −0.187111 | − | 0.0450151i | ||||
\(757\) | 0.475181 | + | 2.08190i | 0.0172708 | + | 0.0756681i | 0.982829 | − | 0.184519i | \(-0.0590728\pi\) |
−0.965558 | + | 0.260187i | \(0.916216\pi\) | |||||||
\(758\) | −52.9512 | − | 10.0595i | −1.92327 | − | 0.365376i | ||||
\(759\) | −6.84102 | − | 8.57837i | −0.248313 | − | 0.311375i | ||||
\(760\) | 26.5906 | + | 16.7904i | 0.964543 | + | 0.609050i | ||||
\(761\) | −43.4291 | + | 9.91242i | −1.57430 | + | 0.359325i | −0.918442 | − | 0.395556i | \(-0.870552\pi\) |
−0.655863 | + | 0.754880i | \(0.727695\pi\) | |||||||
\(762\) | 4.52409 | + | 0.859469i | 0.163890 | + | 0.0311353i | ||||
\(763\) | −13.5551 | + | 22.9339i | −0.490727 | + | 0.830262i | ||||
\(764\) | −6.25443 | − | 10.8701i | −0.226277 | − | 0.393265i | ||||
\(765\) | −0.271086 | −0.00980115 | ||||||||
\(766\) | −10.5449 | − | 4.60997i | −0.381002 | − | 0.166565i | ||||
\(767\) | −0.501005 | − | 0.114351i | −0.0180903 | − | 0.00412898i | ||||
\(768\) | −15.3168 | + | 4.62558i | −0.552697 | + | 0.166911i | ||||
\(769\) | −6.72759 | + | 5.36508i | −0.242603 | + | 0.193470i | −0.737241 | − | 0.675629i | \(-0.763872\pi\) |
0.494638 | + | 0.869099i | \(0.335301\pi\) | |||||||
\(770\) | −10.3076 | + | 18.9963i | −0.371460 | + | 0.684579i | ||||
\(771\) | −20.5934 | − | 16.4227i | −0.741654 | − | 0.591450i | ||||
\(772\) | 33.5367 | − | 19.2964i | 1.20701 | − | 0.694491i | ||||
\(773\) | 24.8843 | + | 19.8446i | 0.895027 | + | 0.713760i | 0.958763 | − | 0.284206i | \(-0.0917301\pi\) |
−0.0637359 | + | 0.997967i | \(0.520302\pi\) | |||||||
\(774\) | 0.284847 | + | 7.76637i | 0.0102386 | + | 0.279156i | ||||
\(775\) | −6.95061 | − | 8.71578i | −0.249673 | − | 0.313080i | ||||
\(776\) | 17.9215 | + | 2.05953i | 0.643345 | + | 0.0739329i | ||||
\(777\) | 9.96298 | − | 16.8564i | 0.357420 | − | 0.604720i | ||||
\(778\) | 14.4779 | − | 0.531008i | 0.519059 | − | 0.0190375i | ||||
\(779\) | 7.53298 | − | 15.6424i | 0.269897 | − | 0.560447i | ||||
\(780\) | −0.457962 | + | 0.669578i | −0.0163977 | + | 0.0239747i | ||||
\(781\) | −45.9017 | − | 22.1051i | −1.64249 | − | 0.790983i | ||||
\(782\) | 0.644093 | − | 0.339804i | 0.0230327 | − | 0.0121514i | ||||
\(783\) | −1.58776 | −0.0567421 | ||||||||
\(784\) | −16.9410 | − | 22.2935i | −0.605037 | − | 0.796197i | ||||
\(785\) | 0.0622095 | 0.00222035 | ||||||||
\(786\) | −19.8954 | + | 10.4962i | −0.709646 | + | 0.374388i | ||||
\(787\) | 0.956187 | + | 0.460475i | 0.0340844 | + | 0.0164142i | 0.450848 | − | 0.892601i | \(-0.351122\pi\) |
−0.416764 | + | 0.909015i | \(0.636836\pi\) | |||||||
\(788\) | 8.99332 | − | 13.1490i | 0.320374 | − | 0.468413i | ||||
\(789\) | 2.33463 | − | 4.84792i | 0.0831151 | − | 0.172590i | ||||
\(790\) | −18.7563 | + | 0.687927i | −0.667320 | + | 0.0244753i | ||||
\(791\) | −37.5043 | − | 35.5186i | −1.33350 | − | 1.26290i | ||||
\(792\) | −11.3954 | − | 1.30955i | −0.404918 | − | 0.0465330i | ||||
\(793\) | −1.22527 | − | 1.53644i | −0.0435106 | − | 0.0545606i | ||||
\(794\) | 0.730418 | + | 19.9148i | 0.0259216 | + | 0.706751i | ||||
\(795\) | −13.8281 | − | 11.0275i | −0.490432 | − | 0.391106i | ||||
\(796\) | −30.0634 | + | 17.2979i | −1.06557 | + | 0.613108i | ||||
\(797\) | 39.0451 | + | 31.1374i | 1.38305 | + | 1.10294i | 0.982416 | + | 0.186703i | \(0.0597803\pi\) |
0.400630 | + | 0.916240i | \(0.368791\pi\) | |||||||
\(798\) | −28.7566 | + | 5.11543i | −1.01797 | + | 0.181084i | ||||
\(799\) | −0.202265 | + | 0.161301i | −0.00715563 | + | 0.00570643i | ||||
\(800\) | −0.690558 | + | 16.7939i | −0.0244149 | + | 0.593756i | ||||
\(801\) | 8.97624 | + | 2.04877i | 0.317160 | + | 0.0723897i | ||||
\(802\) | 7.69926 | + | 3.36593i | 0.271870 | + | 0.118855i | ||||
\(803\) | 49.7299 | 1.75493 | ||||||||
\(804\) | 10.0131 | + | 17.4026i | 0.353135 | + | 0.613742i | ||||
\(805\) | −0.865736 | + | 10.1589i | −0.0305132 | + | 0.358053i | ||||
\(806\) | 1.48443 | + | 0.282005i | 0.0522867 | + | 0.00993322i | ||||
\(807\) | 18.0837 | − | 4.12748i | 0.636576 | − | 0.145294i | ||||
\(808\) | 28.3739 | + | 17.9164i | 0.998190 | + | 0.630296i | ||||
\(809\) | 22.1558 | + | 27.7825i | 0.778957 | + | 0.976782i | 0.999999 | + | 0.00151722i | \(0.000482947\pi\) |
−0.221041 | + | 0.975264i | \(0.570946\pi\) | |||||||
\(810\) | 1.97891 | + | 0.375946i | 0.0695319 | + | 0.0132094i | ||||
\(811\) | 8.35134 | + | 36.5896i | 0.293255 | + | 1.28483i | 0.879965 | + | 0.475038i | \(0.157566\pi\) |
−0.586710 | + | 0.809797i | \(0.699577\pi\) | |||||||
\(812\) | −6.50698 | − | 5.31480i | −0.228350 | − | 0.186513i | ||||
\(813\) | 6.18676 | − | 27.1060i | 0.216979 | − | 0.950648i | ||||
\(814\) | 17.0021 | − | 38.8908i | 0.595924 | − | 1.36312i | ||||
\(815\) | −9.32938 | −0.326794 | ||||||||
\(816\) | 0.226548 | − | 0.726813i | 0.00793077 | − | 0.0254436i | ||||
\(817\) | 18.6126 | + | 38.6494i | 0.651171 | + | 1.35217i | ||||
\(818\) | 28.3673 | − | 7.57853i | 0.991840 | − | 0.264977i | ||||
\(819\) | −0.104677 | − | 0.746123i | −0.00365772 | − | 0.0260716i | ||||
\(820\) | −6.31869 | + | 0.464126i | −0.220658 | + | 0.0162080i | ||||
\(821\) | 7.07517 | − | 30.9983i | 0.246925 | − | 1.08185i | −0.687639 | − | 0.726053i | \(-0.741353\pi\) |
0.934564 | − | 0.355796i | \(-0.115790\pi\) | |||||||
\(822\) | 11.3999 | − | 6.01425i | 0.397617 | − | 0.209771i | ||||
\(823\) | −10.5264 | − | 21.8583i | −0.366927 | − | 0.761931i | 0.632999 | − | 0.774153i | \(-0.281824\pi\) |
−0.999925 | + | 0.0122217i | \(0.996110\pi\) | |||||||
\(824\) | −16.0582 | + | 25.4311i | −0.559413 | + | 0.885933i | ||||
\(825\) | −5.22819 | + | 10.8565i | −0.182022 | + | 0.377973i | ||||
\(826\) | −3.22025 | + | 5.93474i | −0.112047 | + | 0.206496i | ||||
\(827\) | −9.70366 | − | 20.1499i | −0.337429 | − | 0.700679i | 0.661350 | − | 0.750078i | \(-0.269984\pi\) |
−0.998779 | + | 0.0493983i | \(0.984270\pi\) | |||||||
\(828\) | −5.17308 | + | 1.58731i | −0.179777 | + | 0.0551629i | ||||
\(829\) | 24.9598 | − | 5.69691i | 0.866890 | − | 0.197862i | 0.234125 | − | 0.972206i | \(-0.424777\pi\) |
0.632764 | + | 0.774344i | \(0.281920\pi\) | |||||||
\(830\) | 8.63447 | − | 7.41946i | 0.299707 | − | 0.257533i | ||||
\(831\) | 2.60166 | − | 3.26238i | 0.0902506 | − | 0.113171i | ||||
\(832\) | −1.41249 | − | 1.78742i | −0.0489694 | − | 0.0619676i | ||||
\(833\) | 1.33031 | − | 0.0724017i | 0.0460925 | − | 0.00250857i | ||||
\(834\) | −23.0622 | − | 10.0823i | −0.798580 | − | 0.349120i | ||||
\(835\) | −12.4282 | − | 9.91115i | −0.430095 | − | 0.342990i | ||||
\(836\) | −60.5289 | + | 18.5727i | −2.09344 | + | 0.642351i | ||||
\(837\) | −0.834871 | − | 3.65781i | −0.0288574 | − | 0.126432i | ||||
\(838\) | 31.6570 | + | 36.8412i | 1.09357 | + | 1.27266i | ||||
\(839\) | −18.3465 | + | 8.83520i | −0.633391 | + | 0.305025i | −0.722891 | − | 0.690962i | \(-0.757187\pi\) |
0.0895005 | + | 0.995987i | \(0.471473\pi\) | |||||||
\(840\) | 6.85156 | + | 8.16480i | 0.236401 | + | 0.281712i | ||||
\(841\) | 23.8568 | + | 11.4888i | 0.822647 | + | 0.396166i | ||||
\(842\) | 8.90747 | + | 33.3417i | 0.306972 | + | 1.14903i | ||||
\(843\) | −16.5219 | + | 7.95652i | −0.569044 | + | 0.274037i | ||||
\(844\) | −3.14747 | − | 42.8501i | −0.108340 | − | 1.47496i | ||||
\(845\) | 17.9394 | + | 4.09456i | 0.617135 | + | 0.140857i | ||||
\(846\) | 1.70022 | − | 0.896983i | 0.0584547 | − | 0.0308389i | ||||
\(847\) | −5.12708 | − | 13.4664i | −0.176169 | − | 0.462712i | ||||
\(848\) | 41.1223 | − | 27.8589i | 1.41214 | − | 0.956679i | ||||
\(849\) | 7.64015 | − | 3.67930i | 0.262209 | − | 0.126273i | ||||
\(850\) | −0.643130 | − | 0.475386i | −0.0220592 | − | 0.0163056i | ||||
\(851\) | − | 20.0232i | − | 0.686388i | ||||||
\(852\) | −18.4436 | + | 17.0625i | −0.631867 | + | 0.584550i | ||||
\(853\) | 44.9213 | + | 10.2530i | 1.53807 | + | 0.351055i | 0.905806 | − | 0.423694i | \(-0.139267\pi\) |
0.632269 | + | 0.774749i | \(0.282124\pi\) | |||||||
\(854\) | −23.7782 | + | 10.0658i | −0.813674 | + | 0.344443i | ||||
\(855\) | 10.8398 | − | 2.47411i | 0.370713 | − | 0.0846128i | ||||
\(856\) | −3.68429 | − | 5.89249i | −0.125927 | − | 0.201401i | ||||
\(857\) | 29.1997 | − | 23.2860i | 0.997444 | − | 0.795435i | 0.0185547 | − | 0.999828i | \(-0.494094\pi\) |
0.978889 | + | 0.204393i | \(0.0655221\pi\) | |||||||
\(858\) | −0.421540 | − | 1.57787i | −0.0143911 | − | 0.0538677i | ||||
\(859\) | 8.44817 | + | 37.0138i | 0.288248 | + | 1.26290i | 0.886928 | + | 0.461908i | \(0.152835\pi\) |
−0.598680 | + | 0.800988i | \(0.704308\pi\) | |||||||
\(860\) | 8.83752 | − | 12.9212i | 0.301357 | − | 0.440608i | ||||
\(861\) | 4.04628 | − | 4.27249i | 0.137897 | − | 0.145606i | ||||
\(862\) | 34.4444 | + | 25.4605i | 1.17318 | + | 0.867188i | ||||
\(863\) | − | 31.5672i | − | 1.07456i | −0.843404 | − | 0.537280i | \(-0.819452\pi\) | ||
0.843404 | − | 0.537280i | \(-0.180548\pi\) | |||||||
\(864\) | −2.66174 | + | 4.99151i | −0.0905542 | + | 0.169815i | ||||
\(865\) | −3.41039 | + | 14.9419i | −0.115957 | + | 0.508040i | ||||
\(866\) | 1.38247 | + | 37.6931i | 0.0469783 | + | 1.28086i | ||||
\(867\) | −10.5767 | − | 13.2628i | −0.359205 | − | 0.450429i | ||||
\(868\) | 8.82248 | − | 17.7851i | 0.299455 | − | 0.603664i | ||||
\(869\) | 23.5601 | − | 29.5434i | 0.799222 | − | 1.00219i | ||||
\(870\) | 2.57189 | + | 1.90108i | 0.0871954 | + | 0.0644527i | ||||
\(871\) | −1.78240 | + | 2.23506i | −0.0603945 | + | 0.0757323i | ||||
\(872\) | 20.0934 | + | 20.1827i | 0.680449 | + | 0.683474i | ||||
\(873\) | 4.98646 | − | 3.97657i | 0.168766 | − | 0.134586i | ||||
\(874\) | −22.6537 | + | 19.4660i | −0.766274 | + | 0.658447i | ||||
\(875\) | 28.0733 | − | 10.6883i | 0.949051 | − | 0.361332i | ||||
\(876\) | 8.99385 | − | 22.8167i | 0.303874 | − | 0.770905i | ||||
\(877\) | −4.85010 | − | 2.33569i | −0.163776 | − | 0.0788705i | 0.350200 | − | 0.936675i | \(-0.386114\pi\) |
−0.513976 | + | 0.857805i | \(0.671828\pi\) | |||||||
\(878\) | 4.14696 | − | 21.8288i | 0.139953 | − | 0.736688i | ||||
\(879\) | 3.40211 | − | 7.06456i | 0.114750 | − | 0.238282i | ||||
\(880\) | 16.8905 | + | 15.7653i | 0.569380 | + | 0.531449i | ||||
\(881\) | − | 49.1224i | − | 1.65497i | −0.561485 | − | 0.827487i | \(-0.689770\pi\) | ||
0.561485 | − | 0.827487i | \(-0.310230\pi\) | |||||||
\(882\) | −9.81158 | − | 1.31636i | −0.330373 | − | 0.0443243i | ||||
\(883\) | − | 34.5314i | − | 1.16207i | −0.813877 | − | 0.581037i | \(-0.802647\pi\) | ||
0.813877 | − | 0.581037i | \(-0.197353\pi\) | |||||||
\(884\) | 0.108107 | − | 0.00794076i | 0.00363602 | − | 0.000267077i | ||||
\(885\) | 1.11522 | − | 2.31577i | 0.0374876 | − | 0.0778439i | ||||
\(886\) | 0.943898 | + | 0.179318i | 0.0317109 | + | 0.00602431i | ||||
\(887\) | −6.03264 | − | 2.90517i | −0.202556 | − | 0.0975460i | 0.329856 | − | 0.944031i | \(-0.393000\pi\) |
−0.532412 | + | 0.846485i | \(0.678714\pi\) | |||||||
\(888\) | −14.7687 | − | 14.8343i | −0.495604 | − | 0.497807i | ||||
\(889\) | 8.58406 | + | 0.731531i | 0.287900 | + | 0.0245348i | ||||
\(890\) | −12.0868 | − | 14.0662i | −0.405152 | − | 0.471500i | ||||
\(891\) | −3.17064 | + | 2.52850i | −0.106220 | + | 0.0847079i | ||||
\(892\) | 18.0102 | + | 7.09923i | 0.603026 | + | 0.237700i | ||||
\(893\) | 6.61573 | − | 8.29587i | 0.221387 | − | 0.277611i | ||||
\(894\) | 5.10049 | − | 6.90023i | 0.170586 | − | 0.230778i | ||||
\(895\) | −15.4881 | + | 19.4215i | −0.517710 | + | 0.649188i | ||||
\(896\) | −27.6167 | + | 11.5465i | −0.922608 | + | 0.385740i | ||||
\(897\) | −0.480376 | − | 0.602372i | −0.0160393 | − | 0.0201126i | ||||
\(898\) | 14.8190 | − | 0.543517i | 0.494516 | − | 0.0181374i | ||||
\(899\) | 1.32558 | − | 5.80774i | 0.0442105 | − | 0.193699i | ||||
\(900\) | 4.03553 | + | 4.36219i | 0.134518 | + | 0.145406i | ||||
\(901\) | 2.36339i | 0.0787360i | ||||||||
\(902\) | 7.58217 | − | 10.2576i | 0.252459 | − | 0.341541i | ||||
\(903\) | 2.02001 | + | 14.3983i | 0.0672217 | + | 0.479145i | ||||
\(904\) | −46.8216 | + | 29.2753i | −1.55726 | + | 0.973682i | ||||
\(905\) | −2.35154 | − | 10.3028i | −0.0781677 | − | 0.342475i | ||||
\(906\) | −20.7766 | + | 5.55063i | −0.690258 | + | 0.184407i | ||||
\(907\) | −28.9877 | + | 23.1169i | −0.962520 | + | 0.767584i | −0.972629 | − | 0.232365i | \(-0.925354\pi\) |
0.0101090 | + | 0.999949i | \(0.496782\pi\) | |||||||
\(908\) | −30.4530 | + | 44.5247i | −1.01062 | + | 1.47761i | ||||
\(909\) | 11.5667 | − | 2.64003i | 0.383645 | − | 0.0875644i | ||||
\(910\) | −0.723799 | + | 1.33392i | −0.0239937 | + | 0.0442190i | ||||
\(911\) | −24.0880 | − | 5.49794i | −0.798072 | − | 0.182155i | −0.196008 | − | 0.980602i | \(-0.562798\pi\) |
−0.602064 | + | 0.798448i | \(0.705655\pi\) | |||||||
\(912\) | −2.42549 | + | 31.1303i | −0.0803160 | + | 1.03083i | ||||
\(913\) | 22.9200i | 0.758542i | ||||||||
\(914\) | −15.3832 | + | 20.8113i | −0.508832 | + | 0.688377i | ||||
\(915\) | 8.85582 | − | 4.26474i | 0.292764 | − | 0.140988i | ||||
\(916\) | 37.4029 | + | 5.69415i | 1.23583 | + | 0.188140i | ||||
\(917\) | −35.0111 | + | 23.3499i | −1.15617 | + | 0.771081i | ||||
\(918\) | −0.125595 | − | 0.238062i | −0.00414524 | − | 0.00785723i | ||||
\(919\) | 2.44672 | + | 0.558449i | 0.0807100 | + | 0.0184215i | 0.262685 | − | 0.964882i | \(-0.415392\pi\) |
−0.181975 | + | 0.983303i | \(0.558249\pi\) | |||||||
\(920\) | 10.2800 | + | 3.62274i | 0.338922 | + | 0.119438i | ||||
\(921\) | −8.24179 | + | 3.96904i | −0.271576 | + | 0.130784i | ||||
\(922\) | 34.3835 | − | 9.18579i | 1.13236 | − | 0.302518i | ||||
\(923\) | −3.22322 | − | 1.55222i | −0.106093 | − | 0.0510919i | ||||
\(924\) | −21.4577 | − | 0.250916i | −0.705906 | − | 0.00825452i | ||||
\(925\) | −19.8121 | + | 9.54101i | −0.651418 | + | 0.313707i | ||||
\(926\) | −22.0801 | + | 18.9731i | −0.725597 | + | 0.623494i | ||||
\(927\) | 2.36622 | + | 10.3671i | 0.0777169 | + | 0.340500i | ||||
\(928\) | −7.24636 | + | 5.30680i | −0.237874 | + | 0.174204i | ||||
\(929\) | −0.673074 | − | 0.536759i | −0.0220829 | − | 0.0176105i | 0.612386 | − | 0.790559i | \(-0.290210\pi\) |
−0.634469 | + | 0.772948i | \(0.718781\pi\) | |||||||
\(930\) | −3.02727 | + | 6.92461i | −0.0992682 | + | 0.227067i | ||||
\(931\) | −52.5336 | + | 15.0364i | −1.72172 | + | 0.492797i | ||||
\(932\) | 19.8836 | + | 21.4931i | 0.651309 | + | 0.704029i | ||||
\(933\) | −13.7476 | + | 17.2390i | −0.450077 | + | 0.564378i | ||||
\(934\) | −1.94098 | − | 2.25884i | −0.0635109 | − | 0.0739114i | ||||
\(935\) | −1.07180 | + | 0.244631i | −0.0350516 | + | 0.00800030i | ||||
\(936\) | −0.800184 | − | 0.0919568i | −0.0261548 | − | 0.00300570i | ||||
\(937\) | −10.5806 | − | 21.9709i | −0.345654 | − | 0.717759i | 0.653581 | − | 0.756857i | \(-0.273266\pi\) |
−0.999235 | + | 0.0390979i | \(0.987552\pi\) | |||||||
\(938\) | 21.9726 | + | 30.4647i | 0.717431 | + | 0.994708i | ||||
\(939\) | −12.7750 | + | 26.5275i | −0.416896 | + | 0.865694i | ||||
\(940\) | −3.82803 | − | 0.582773i | −0.124857 | − | 0.0190080i | ||||
\(941\) | 3.15781 | + | 6.55727i | 0.102942 | + | 0.213761i | 0.946078 | − | 0.323940i | \(-0.105007\pi\) |
−0.843136 | + | 0.537700i | \(0.819293\pi\) | |||||||
\(942\) | 0.0288217 | + | 0.0546311i | 0.000939063 | + | 0.00177998i | ||||
\(943\) | 1.33901 | − | 5.86659i | 0.0436042 | − | 0.191042i | ||||
\(944\) | 5.27686 | + | 4.92533i | 0.171747 | + | 0.160306i | ||||
\(945\) | 3.75481 | + | 0.319984i | 0.122144 | + | 0.0104091i | ||||
\(946\) | 8.13466 | + | 30.4490i | 0.264481 | + | 0.989982i | ||||
\(947\) | −0.727197 | − | 1.51004i | −0.0236307 | − | 0.0490697i | 0.888819 | − | 0.458258i | \(-0.151526\pi\) |
−0.912450 | + | 0.409188i | \(0.865812\pi\) | |||||||
\(948\) | −9.29395 | − | 16.1527i | −0.301854 | − | 0.524615i | ||||
\(949\) | 3.49203 | 0.113356 | ||||||||
\(950\) | 30.0552 | + | 13.1394i | 0.975118 | + | 0.426298i | ||||
\(951\) | −0.375333 | + | 1.64444i | −0.0121710 | + | 0.0533247i | ||||
\(952\) | 0.282165 | − | 1.39604i | 0.00914502 | − | 0.0452458i | ||||
\(953\) | 2.23741 | + | 9.80271i | 0.0724767 | + | 0.317541i | 0.998151 | − | 0.0607798i | \(-0.0193587\pi\) |
−0.925675 | + | 0.378321i | \(0.876502\pi\) | |||||||
\(954\) | 3.27758 | − | 17.2526i | 0.106116 | − | 0.558574i | ||||
\(955\) | 5.56854 | + | 6.98273i | 0.180194 | + | 0.225956i | ||||
\(956\) | 22.4831 | + | 3.42279i | 0.727156 | + | 0.110701i | ||||
\(957\) | −6.27758 | + | 1.43282i | −0.202925 | + | 0.0463164i | ||||
\(958\) | −4.78451 | + | 25.1848i | −0.154581 | + | 0.813685i | ||||
\(959\) | 20.0610 | − | 13.3793i | 0.647805 | − | 0.432040i | ||||
\(960\) | 10.2880 | − | 4.89836i | 0.332045 | − | 0.158094i | ||||
\(961\) | −16.9234 | −0.545917 | ||||||||
\(962\) | 1.19389 | − | 2.73091i | 0.0384925 | − | 0.0880480i | ||||
\(963\) | −2.39541 | − | 0.546738i | −0.0771911 | − | 0.0176184i | ||||
\(964\) | −1.40570 | + | 3.56616i | −0.0452746 | + | 0.114858i | ||||
\(965\) | −21.5433 | + | 17.1802i | −0.693504 | + | 0.553051i | ||||
\(966\) | −9.32241 | + | 3.94635i | −0.299944 | + | 0.126972i | ||||
\(967\) | 23.8925 | + | 19.0536i | 0.768330 | + | 0.612723i | 0.927196 | − | 0.374578i | \(-0.122212\pi\) |
−0.158866 | + | 0.987300i | \(0.550784\pi\) | |||||||
\(968\) | −15.3113 | + | 1.69079i | −0.492123 | + | 0.0543439i | ||||
\(969\) | −1.16158 | − | 0.926327i | −0.0373153 | − | 0.0297579i | ||||
\(970\) | −12.8384 | + | 0.470876i | −0.412218 | + | 0.0151189i | ||||
\(971\) | 22.1482 | + | 27.7730i | 0.710770 | + | 0.891277i | 0.997776 | − | 0.0666514i | \(-0.0212316\pi\) |
−0.287006 | + | 0.957929i | \(0.592660\pi\) | |||||||
\(972\) | 0.586684 | + | 1.91202i | 0.0188179 | + | 0.0613279i | ||||
\(973\) | −44.8523 | − | 14.3384i | −1.43790 | − | 0.459669i | ||||
\(974\) | −0.460327 | − | 12.5508i | −0.0147498 | − | 0.402154i | ||||
\(975\) | −0.367123 | + | 0.762339i | −0.0117574 | + | 0.0244144i | ||||
\(976\) | 4.03340 | + | 27.3075i | 0.129106 | + | 0.874092i | ||||
\(977\) | 7.28286 | + | 3.50724i | 0.232999 | + | 0.112207i | 0.546741 | − | 0.837302i | \(-0.315868\pi\) |
−0.313742 | + | 0.949508i | \(0.601583\pi\) | |||||||
\(978\) | −4.32231 | − | 8.19287i | −0.138212 | − | 0.261979i | ||||
\(979\) | 37.3384 | 1.19334 | ||||||||
\(980\) | 14.3169 | + | 13.8800i | 0.457336 | + | 0.443381i | ||||
\(981\) | 10.0691 | 0.321480 | ||||||||
\(982\) | −18.9742 | − | 35.9652i | −0.605491 | − | 1.14770i | ||||
\(983\) | 49.1980 | + | 23.6925i | 1.56917 | + | 0.755673i | 0.997880 | − | 0.0650739i | \(-0.0207283\pi\) |
0.571291 | + | 0.820747i | \(0.306443\pi\) | |||||||
\(984\) | −3.33504 | − | 5.33391i | −0.106317 | − | 0.170039i | ||||
\(985\) | −4.92241 | + | 10.2215i | −0.156841 | + | 0.325684i | ||||
\(986\) | −0.0156639 | − | 0.427077i | −0.000498842 | − | 0.0136009i | ||||
\(987\) | 2.99197 | − | 1.99543i | 0.0952354 | − | 0.0635152i | ||||
\(988\) | −4.25033 | + | 1.30417i | −0.135221 | + | 0.0414913i | ||||
\(989\) | 9.27005 | + | 11.6243i | 0.294770 | + | 0.369630i | ||||
\(990\) | 8.16332 | − | 0.299407i | 0.259447 | − | 0.00951577i | ||||
\(991\) | −19.2895 | − | 15.3829i | −0.612751 | − | 0.488652i | 0.267248 | − | 0.963628i | \(-0.413886\pi\) |
−0.879999 | + | 0.474975i | \(0.842457\pi\) | |||||||
\(992\) | −16.0358 | − | 13.9034i | −0.509136 | − | 0.441433i | ||||
\(993\) | 16.8357 | + | 13.4260i | 0.534265 | + | 0.426062i | ||||
\(994\) | −31.0496 | + | 35.2909i | −0.984833 | + | 1.11936i | ||||
\(995\) | 19.3122 | − | 15.4009i | 0.612237 | − | 0.488242i | ||||
\(996\) | 10.5160 | + | 4.14517i | 0.333212 | + | 0.131345i | ||||
\(997\) | −41.4478 | − | 9.46018i | −1.31266 | − | 0.299607i | −0.491789 | − | 0.870714i | \(-0.663657\pi\) |
−0.820875 | + | 0.571107i | \(0.806514\pi\) | |||||||
\(998\) | 10.1470 | − | 23.2104i | 0.321199 | − | 0.734713i | ||||
\(999\) | −7.40076 | −0.234150 |
(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 | 588.2.x.b.55.5 | yes | 168 | |
4.3 | odd | 2 | 588.2.x.a.55.12 | ✓ | 168 | ||
49.41 | odd | 14 | 588.2.x.a.139.12 | yes | 168 | ||
196.139 | even | 14 | inner | 588.2.x.b.139.5 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.x.a.55.12 | ✓ | 168 | 4.3 | odd | 2 | ||
588.2.x.a.139.12 | yes | 168 | 49.41 | odd | 14 | ||
588.2.x.b.55.5 | yes | 168 | 1.1 | even | 1 | trivial | |
588.2.x.b.139.5 | yes | 168 | 196.139 | even | 14 | inner |