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 | 55.12 | ||
Character | \(\chi\) | \(=\) | 588.55 |
Dual form | 588.2.x.a.139.12 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.365015 | + | 1.36630i | −0.258105 | + | 0.966117i | ||||
\(3\) | −0.900969 | − | 0.433884i | −0.520175 | − | 0.250503i | ||||
\(4\) | −1.73353 | − | 0.997438i | −0.866764 | − | 0.498719i | ||||
\(5\) | −0.617993 | + | 1.28328i | −0.276375 | + | 0.573898i | −0.992240 | − | 0.124341i | \(-0.960318\pi\) |
0.715865 | + | 0.698239i | \(0.246033\pi\) | |||||||
\(6\) | 0.921681 | − | 1.07262i | 0.376275 | − | 0.437893i | ||||
\(7\) | 2.62009 | − | 0.367586i | 0.990302 | − | 0.138934i | ||||
\(8\) | 1.99556 | − | 2.00443i | 0.705537 | − | 0.708673i | ||||
\(9\) | 0.623490 | + | 0.781831i | 0.207830 | + | 0.260610i | ||||
\(10\) | −1.52776 | − | 1.31278i | −0.483119 | − | 0.415136i | ||||
\(11\) | −3.17064 | − | 2.52850i | −0.955983 | − | 0.762371i | 0.0154017 | − | 0.999881i | \(-0.495097\pi\) |
−0.971385 | + | 0.237510i | \(0.923669\pi\) | |||||||
\(12\) | 1.12908 | + | 1.65081i | 0.325938 | + | 0.476548i | ||||
\(13\) | 0.222642 | + | 0.177551i | 0.0617498 | + | 0.0492438i | 0.653878 | − | 0.756600i | \(-0.273141\pi\) |
−0.592129 | + | 0.805844i | \(0.701712\pi\) | |||||||
\(14\) | −0.454143 | + | 3.71399i | −0.121375 | + | 0.992607i | ||||
\(15\) | 1.11359 | − | 0.888054i | 0.287526 | − | 0.229295i | ||||
\(16\) | 2.01024 | + | 3.45817i | 0.502559 | + | 0.864543i | ||||
\(17\) | 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 | \(-0.146869\pi\) | ||||
0.895429 | + | 0.445205i | \(0.146869\pi\) | |||||||
\(20\) | 2.35130 | − | 1.60818i | 0.525766 | − | 0.359601i | ||||
\(21\) | −2.52011 | − | 0.805632i | −0.549933 | − | 0.175803i | ||||
\(22\) | 4.61201 | − | 3.40909i | 0.983284 | − | 0.726820i | ||||
\(23\) | 2.63773 | − | 0.602045i | 0.550005 | − | 0.125535i | 0.0615175 | − | 0.998106i | \(-0.480406\pi\) |
0.488487 | + | 0.872571i | \(0.337549\pi\) | |||||||
\(24\) | −2.66763 | + | 0.940089i | −0.544527 | + | 0.191895i | ||||
\(25\) | 1.85257 | + | 2.32305i | 0.370513 | + | 0.464609i | ||||
\(26\) | −0.323855 | + | 0.239386i | −0.0635132 | + | 0.0469474i | ||||
\(27\) | −0.222521 | − | 0.974928i | −0.0428242 | − | 0.187625i | ||||
\(28\) | −4.90864 | − | 1.97616i | −0.927647 | − | 0.373459i | ||||
\(29\) | −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 | \(-0.390612\pi\) | ||||
0.336929 | + | 0.941530i | \(0.390612\pi\) | |||||||
\(32\) | −5.45865 | + | 1.48429i | −0.964963 | + | 0.262388i | ||||
\(33\) | 1.75957 | + | 3.65379i | 0.306302 | + | 0.636043i | ||||
\(34\) | −0.125595 | + | 0.238062i | −0.0215393 | + | 0.0408274i | ||||
\(35\) | −1.14748 | + | 3.58947i | −0.193960 | + | 0.606730i | ||||
\(36\) | −0.301008 | − | 1.97722i | −0.0501681 | − | 0.329536i | ||||
\(37\) | −1.64682 | + | 7.21521i | −0.270736 | + | 1.18617i | 0.638410 | + | 0.769696i | \(0.279592\pi\) |
−0.909146 | + | 0.416477i | \(0.863265\pi\) | |||||||
\(38\) | −2.84937 | + | 10.6655i | −0.462229 | + | 1.73018i | ||||
\(39\) | −0.123557 | − | 0.256569i | −0.0197849 | − | 0.0410839i | ||||
\(40\) | 1.33900 | + | 3.79958i | 0.211714 | + | 0.600766i | ||||
\(41\) | −0.965003 | + | 2.00385i | −0.150708 | + | 0.312949i | −0.962631 | − | 0.270816i | \(-0.912707\pi\) |
0.811923 | + | 0.583765i | \(0.198421\pi\) | |||||||
\(42\) | 2.02061 | − | 3.14915i | 0.311787 | − | 0.485924i | ||||
\(43\) | 2.38434 | + | 4.95113i | 0.363608 | + | 0.755041i | 0.999865 | − | 0.0164370i | \(-0.00523229\pi\) |
−0.636257 | + | 0.771478i | \(0.719518\pi\) | |||||||
\(44\) | 2.97437 | + | 7.54574i | 0.448403 | + | 1.13756i | ||||
\(45\) | −1.38862 | + | 0.316943i | −0.207003 | + | 0.0472471i | ||||
\(46\) | −0.140241 | + | 3.82367i | −0.0206774 | + | 0.563770i | ||||
\(47\) | 0.847501 | − | 1.06273i | 0.123621 | − | 0.155015i | −0.716170 | − | 0.697926i | \(-0.754106\pi\) |
0.839790 | + | 0.542911i | \(0.182678\pi\) | |||||||
\(48\) | −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 | ||||
\(52\) | −0.208860 | − | 0.529861i | −0.0289636 | − | 0.0734785i | ||||
\(53\) | 2.76318 | + | 12.1063i | 0.379552 | + | 1.66293i | 0.698847 | + | 0.715271i | \(0.253697\pi\) |
−0.319295 | + | 0.947656i | \(0.603446\pi\) | |||||||
\(54\) | 1.41326 | + | 0.0518343i | 0.192321 | + | 0.00705376i | ||||
\(55\) | 5.20420 | − | 2.50621i | 0.701734 | − | 0.337937i | ||||
\(56\) | 4.49175 | − | 5.98533i | 0.600235 | − | 0.799824i | ||||
\(57\) | −7.03311 | − | 3.38697i | −0.931558 | − | 0.448615i | ||||
\(58\) | −1.98600 | − | 1.04775i | −0.260775 | − | 0.137577i | ||||
\(59\) | 1.62587 | − | 0.782978i | 0.211670 | − | 0.101935i | −0.325045 | − | 0.945699i | \(-0.605379\pi\) |
0.536715 | + | 0.843764i | \(0.319665\pi\) | |||||||
\(60\) | −2.81621 | + | 0.428735i | −0.363571 | + | 0.0553494i | ||||
\(61\) | −6.72792 | − | 1.53560i | −0.861422 | − | 0.196614i | −0.231083 | − | 0.972934i | \(-0.574227\pi\) |
−0.630339 | + | 0.776320i | \(0.717084\pi\) | |||||||
\(62\) | −1.36949 | + | 5.12617i | −0.173926 | + | 0.651025i | ||||
\(63\) | 1.92099 | + | 1.81928i | 0.242022 | + | 0.229208i | ||||
\(64\) | −0.0354855 | − | 7.99992i | −0.00443568 | − | 0.999990i | ||||
\(65\) | −0.365438 | + | 0.175986i | −0.0453270 | + | 0.0218283i | ||||
\(66\) | −5.63443 | + | 1.07041i | −0.693550 | + | 0.131758i | ||||
\(67\) | − | 10.0388i | − | 1.22644i | −0.789913 | − | 0.613219i | \(-0.789874\pi\) | ||
0.789913 | − | 0.613219i | \(-0.210126\pi\) | |||||||
\(68\) | −0.279420 | − | 0.258496i | −0.0338846 | − | 0.0313472i | ||||
\(69\) | −2.63773 | − | 0.602045i | −0.317545 | − | 0.0724777i | ||||
\(70\) | −4.48542 | − | 2.87801i | −0.536110 | − | 0.343988i | ||||
\(71\) | 12.2478 | − | 2.79548i | 1.45355 | − | 0.331763i | 0.578453 | − | 0.815716i | \(-0.303657\pi\) |
0.875094 | + | 0.483953i | \(0.160800\pi\) | |||||||
\(72\) | 2.81134 | + | 0.310449i | 0.331319 | + | 0.0365868i | ||||
\(73\) | 9.58733 | − | 7.64564i | 1.12211 | − | 0.894854i | 0.126834 | − | 0.991924i | \(-0.459518\pi\) |
0.995278 | + | 0.0970695i | \(0.0309469\pi\) | |||||||
\(74\) | −9.25699 | − | 4.88371i | −1.07610 | − | 0.567720i | ||||
\(75\) | −0.661174 | − | 2.89679i | −0.0763458 | − | 0.334493i | ||||
\(76\) | −13.5322 | − | 7.78617i | −1.55225 | − | 0.893135i | ||||
\(77\) | −9.23680 | − | 5.45942i | −1.05263 | − | 0.622159i | ||||
\(78\) | 0.395649 | − | 0.0751638i | 0.0447984 | − | 0.00851063i | ||||
\(79\) | 9.31782i | 1.04834i | 0.851615 | + | 0.524169i | \(0.175624\pi\) | ||||
−0.851615 | + | 0.524169i | \(0.824376\pi\) | |||||||
\(80\) | −5.68010 | + | 0.442560i | −0.635055 | + | 0.0494797i | ||||
\(81\) | −0.222521 | + | 0.974928i | −0.0247245 | + | 0.108325i | ||||
\(82\) | −2.38561 | − | 2.04992i | −0.263447 | − | 0.226375i | ||||
\(83\) | −3.52380 | − | 4.41870i | −0.386787 | − | 0.485016i | 0.549877 | − | 0.835246i | \(-0.314675\pi\) |
−0.936664 | + | 0.350230i | \(0.886103\pi\) | |||||||
\(84\) | 3.56511 | + | 3.91024i | 0.388986 | + | 0.426642i | ||||
\(85\) | −0.169020 | + | 0.211944i | −0.0183327 | + | 0.0229885i | ||||
\(86\) | −7.63503 | + | 1.45047i | −0.823307 | + | 0.156409i | ||||
\(87\) | 0.989955 | − | 1.24136i | 0.106134 | − | 0.133088i | ||||
\(88\) | −11.3954 | + | 1.30955i | −1.21475 | + | 0.139599i | ||||
\(89\) | 7.19839 | − | 5.74052i | 0.763027 | − | 0.608494i | −0.162704 | − | 0.986675i | \(-0.552022\pi\) |
0.925732 | + | 0.378181i | \(0.123450\pi\) | |||||||
\(90\) | 0.0738292 | − | 2.01295i | 0.00778228 | − | 0.212184i | ||||
\(91\) | 0.648608 | + | 0.383360i | 0.0679925 | + | 0.0401870i | ||||
\(92\) | −5.17308 | − | 1.58731i | −0.539331 | − | 0.165489i | ||||
\(93\) | −3.38032 | − | 1.62788i | −0.350523 | − | 0.168803i | ||||
\(94\) | 1.14266 | + | 1.54585i | 0.117856 | + | 0.159442i | ||||
\(95\) | −4.82416 | + | 10.0175i | −0.494948 | + | 1.02777i | ||||
\(96\) | 5.56208 | + | 1.03112i | 0.567678 | + | 0.105238i | ||||
\(97\) | − | 6.37792i | − | 0.647580i | −0.946129 | − | 0.323790i | \(-0.895043\pi\) | ||
0.946129 | − | 0.323790i | \(-0.104957\pi\) | |||||||
\(98\) | 0.175314 | + | 9.89794i | 0.0177094 | + | 0.999843i | ||||
\(99\) | − | 4.05540i | − | 0.407583i | ||||||
\(100\) | −0.894382 | − | 5.87489i | −0.0894382 | − | 0.587489i | ||||
\(101\) | 5.14768 | − | 10.6893i | 0.512214 | − | 1.06362i | −0.471163 | − | 0.882046i | \(-0.656166\pi\) |
0.983377 | − | 0.181577i | \(-0.0581201\pi\) | |||||||
\(102\) | 0.216448 | − | 0.159993i | 0.0214316 | − | 0.0158417i | ||||
\(103\) | −9.58063 | − | 4.61379i | −0.944007 | − | 0.454610i | −0.102426 | − | 0.994741i | \(-0.532661\pi\) |
−0.841581 | + | 0.540131i | \(0.818375\pi\) | |||||||
\(104\) | 0.800184 | − | 0.0919568i | 0.0784645 | − | 0.00901710i | ||||
\(105\) | 2.59126 | − | 2.73612i | 0.252881 | − | 0.267018i | ||||
\(106\) | −17.5494 | − | 0.643660i | −1.70455 | − | 0.0625177i | ||||
\(107\) | 1.92097 | − | 1.53192i | 0.185707 | − | 0.148097i | −0.526223 | − | 0.850346i | \(-0.676392\pi\) |
0.711931 | + | 0.702250i | \(0.247821\pi\) | |||||||
\(108\) | −0.586684 | + | 1.91202i | −0.0564537 | + | 0.183984i | ||||
\(109\) | 6.27796 | − | 7.87231i | 0.601319 | − | 0.754031i | −0.384264 | − | 0.923223i | \(-0.625545\pi\) |
0.985583 | + | 0.169193i | \(0.0541160\pi\) | |||||||
\(110\) | 1.52461 | + | 8.02527i | 0.145366 | + | 0.765180i | ||||
\(111\) | 4.61430 | − | 5.78615i | 0.437970 | − | 0.549197i | ||||
\(112\) | 6.53817 | + | 8.32179i | 0.617799 | + | 0.786336i | ||||
\(113\) | 12.1726 | + | 15.2640i | 1.14511 | + | 1.43592i | 0.882062 | + | 0.471133i | \(0.156155\pi\) |
0.263043 | + | 0.964784i | \(0.415274\pi\) | |||||||
\(114\) | 7.19479 | − | 8.37301i | 0.673854 | − | 0.784205i | ||||
\(115\) | −0.857510 | + | 3.75699i | −0.0799632 | + | 0.350342i | ||||
\(116\) | 2.15646 | − | 2.33102i | 0.200223 | − | 0.216430i | ||||
\(117\) | 0.284770i | 0.0263270i | ||||||||
\(118\) | 0.476311 | + | 2.50722i | 0.0438480 | + | 0.230808i | ||||
\(119\) | 0.501736 | + | 0.0427577i | 0.0459940 | + | 0.00391960i | ||||
\(120\) | 0.442181 | − | 4.00427i | 0.0403655 | − | 0.365538i | ||||
\(121\) | 1.21191 | + | 5.30971i | 0.110173 | + | 0.482701i | ||||
\(122\) | 4.55389 | − | 8.63181i | 0.412289 | − | 0.781488i | ||||
\(123\) | 1.73888 | − | 1.38671i | 0.156789 | − | 0.125035i | ||||
\(124\) | −6.50398 | − | 3.74226i | −0.584075 | − | 0.336065i | ||||
\(125\) | −11.0691 | + | 2.52644i | −0.990048 | + | 0.225972i | ||||
\(126\) | −3.18687 | + | 1.96057i | −0.283909 | + | 0.174662i | ||||
\(127\) | 3.17459 | + | 0.724579i | 0.281699 | + | 0.0642960i | 0.361036 | − | 0.932552i | \(-0.382423\pi\) |
−0.0793368 | + | 0.996848i | \(0.525280\pi\) | |||||||
\(128\) | 10.9432 | + | 2.87161i | 0.967252 | + | 0.253817i | ||||
\(129\) | − | 5.49534i | − | 0.483838i | ||||||
\(130\) | −0.107058 | − | 0.563534i | −0.00938961 | − | 0.0494252i | ||||
\(131\) | −14.3308 | + | 6.90133i | −1.25208 | + | 0.602972i | −0.938070 | − | 0.346446i | \(-0.887388\pi\) |
−0.314014 | + | 0.949418i | \(0.601674\pi\) | |||||||
\(132\) | 0.594161 | − | 8.08901i | 0.0517151 | − | 0.704058i | ||||
\(133\) | 20.4529 | − | 2.86943i | 1.77349 | − | 0.248812i | ||||
\(134\) | 13.7160 | + | 3.66433i | 1.18488 | + | 0.316550i | ||||
\(135\) | 1.38862 | + | 0.316943i | 0.119513 | + | 0.0272781i | ||||
\(136\) | 0.455174 | − | 0.287415i | 0.0390309 | − | 0.0246456i | ||||
\(137\) | −8.21140 | + | 3.95440i | −0.701547 | + | 0.337847i | −0.750423 | − | 0.660957i | \(-0.770150\pi\) |
0.0488759 | + | 0.998805i | \(0.484436\pi\) | |||||||
\(138\) | 1.78538 | − | 3.38416i | 0.151982 | − | 0.288079i | ||||
\(139\) | −16.0352 | − | 7.72215i | −1.36009 | − | 0.654984i | −0.395432 | − | 0.918495i | \(-0.629405\pi\) |
−0.964656 | + | 0.263511i | \(0.915119\pi\) | |||||||
\(140\) | 5.56947 | − | 5.07789i | 0.470706 | − | 0.429160i | ||||
\(141\) | −1.22467 | + | 0.589772i | −0.103136 | + | 0.0496678i | ||||
\(142\) | −0.651183 | + | 17.7545i | −0.0546461 | + | 1.48993i | ||||
\(143\) | −0.256979 | − | 1.12590i | −0.0214897 | − | 0.0941525i | ||||
\(144\) | −1.45035 | + | 3.72780i | −0.120862 | + | 0.310650i | ||||
\(145\) | −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 | \(0.294234\pi\) | |||||||
\(150\) | 4.19921 | + | 0.154015i | 0.342864 | + | 0.0125753i | ||||
\(151\) | −14.8253 | + | 3.38378i | −1.20647 | + | 0.275368i | −0.778043 | − | 0.628211i | \(-0.783787\pi\) |
−0.428422 | + | 0.903579i | \(0.640930\pi\) | |||||||
\(152\) | 15.5777 | − | 15.6469i | 1.26352 | − | 1.26913i | ||||
\(153\) | 0.0825792 | + | 0.171478i | 0.00667613 | + | 0.0138631i | ||||
\(154\) | 10.8308 | − | 10.6274i | 0.872767 | − | 0.856383i | ||||
\(155\) | −2.31863 | + | 4.81469i | −0.186237 | + | 0.386725i | ||||
\(156\) | −0.0417219 | + | 0.568009i | −0.00334043 | + | 0.0454771i | ||||
\(157\) | −0.0189505 | − | 0.0393510i | −0.00151241 | − | 0.00314056i | 0.900211 | − | 0.435453i | \(-0.143412\pi\) |
−0.901724 | + | 0.432313i | \(0.857698\pi\) | |||||||
\(158\) | −12.7309 | − | 3.40115i | −1.01282 | − | 0.270581i | ||||
\(159\) | 2.76318 | − | 12.1063i | 0.219135 | − | 0.960091i | ||||
\(160\) | 1.46866 | − | 7.92224i | 0.116108 | − | 0.626308i | ||||
\(161\) | 6.68979 | − | 2.54700i | 0.527229 | − | 0.200732i | ||||
\(162\) | −1.25082 | − | 0.659893i | −0.0982734 | − | 0.0518461i | ||||
\(163\) | −2.84195 | − | 5.90136i | −0.222598 | − | 0.462230i | 0.759523 | − | 0.650481i | \(-0.225433\pi\) |
−0.982121 | + | 0.188251i | \(0.939718\pi\) | |||||||
\(164\) | 3.67158 | − | 2.51120i | 0.286702 | − | 0.196092i | ||||
\(165\) | −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 | \(-0.786445\pi\) |
0.975436 | − | 0.220281i | \(-0.0706976\pi\) | |||||||
\(168\) | −6.64386 | + | 3.44370i | −0.512585 | + | 0.265687i | ||||
\(169\) | −2.87473 | − | 12.5950i | −0.221133 | − | 0.968846i | ||||
\(170\) | −0.227883 | − | 0.308293i | −0.0174778 | − | 0.0236450i | ||||
\(171\) | 4.86706 | + | 6.10311i | 0.372194 | + | 0.466716i | ||||
\(172\) | 0.805129 | − | 10.9612i | 0.0613905 | − | 0.835780i | ||||
\(173\) | 10.4905 | − | 2.39439i | 0.797577 | − | 0.182042i | 0.195735 | − | 0.980657i | \(-0.437291\pi\) |
0.601842 | + | 0.798615i | \(0.294434\pi\) | |||||||
\(174\) | 1.33472 | + | 1.80569i | 0.101185 | + | 0.136889i | ||||
\(175\) | 5.70782 | + | 5.40562i | 0.431470 | + | 0.408626i | ||||
\(176\) | 2.37026 | − | 16.0475i | 0.178665 | − | 1.20963i | ||||
\(177\) | −1.80458 | −0.135641 | ||||||||
\(178\) | 5.21573 | + | 11.9305i | 0.390935 | + | 0.894229i | ||||
\(179\) | −17.0032 | − | 3.88087i | −1.27088 | − | 0.290070i | −0.466679 | − | 0.884427i | \(-0.654549\pi\) |
−0.804201 | + | 0.594357i | \(0.797407\pi\) | |||||||
\(180\) | 2.72334 | + | 0.835631i | 0.202986 | + | 0.0622842i | ||||
\(181\) | −5.80075 | + | 4.62594i | −0.431166 | + | 0.343843i | −0.814901 | − | 0.579600i | \(-0.803209\pi\) |
0.383735 | + | 0.923443i | \(0.374638\pi\) | |||||||
\(182\) | −0.760535 | + | 0.746257i | −0.0563746 | + | 0.0553163i | ||||
\(183\) | 5.39538 | + | 4.30267i | 0.398838 | + | 0.318062i | ||||
\(184\) | 4.05699 | − | 6.48856i | 0.299085 | − | 0.478343i | ||||
\(185\) | −8.24138 | − | 6.57228i | −0.605918 | − | 0.483204i | ||||
\(186\) | 3.45803 | − | 4.02432i | 0.253555 | − | 0.295078i | ||||
\(187\) | −0.481238 | − | 0.603454i | −0.0351916 | − | 0.0441289i | ||||
\(188\) | −2.52918 | + | 0.996946i | −0.184459 | + | 0.0727098i | ||||
\(189\) | −0.941395 | − | 2.47261i | −0.0684764 | − | 0.179856i | ||||
\(190\) | −11.9259 | − | 10.2478i | −0.865198 | − | 0.743450i | ||||
\(191\) | −2.72066 | + | 5.64952i | −0.196860 | + | 0.408785i | −0.975909 | − | 0.218179i | \(-0.929988\pi\) |
0.779048 | + | 0.626964i | \(0.215703\pi\) | |||||||
\(192\) | −3.43906 | + | 7.22308i | −0.248193 | + | 0.521281i | ||||
\(193\) | 17.4301 | + | 8.39388i | 1.25464 | + | 0.604205i | 0.938753 | − | 0.344591i | \(-0.111982\pi\) |
0.315891 | + | 0.948795i | \(0.397697\pi\) | |||||||
\(194\) | 8.71412 | + | 2.32804i | 0.625638 | + | 0.167143i | ||||
\(195\) | 0.405606 | 0.0290460 | ||||||||
\(196\) | −13.5875 | − | 3.37337i | −0.970536 | − | 0.240955i | ||||
\(197\) | 7.96516 | 0.567494 | 0.283747 | − | 0.958899i | \(-0.408422\pi\) | ||||
0.283747 | + | 0.958899i | \(0.408422\pi\) | |||||||
\(198\) | 5.54087 | + | 1.48028i | 0.393773 | + | 0.105199i | ||||
\(199\) | 15.6249 | + | 7.52455i | 1.10762 | + | 0.533402i | 0.896046 | − | 0.443961i | \(-0.146427\pi\) |
0.211573 | + | 0.977362i | \(0.432141\pi\) | |||||||
\(200\) | 8.35329 | + | 0.922433i | 0.590667 | + | 0.0652259i | ||||
\(201\) | −4.35569 | + | 9.04467i | −0.307226 | + | 0.637962i | ||||
\(202\) | 12.7257 | + | 10.9350i | 0.895379 | + | 0.769385i | ||||
\(203\) | −0.356700 | + | 4.18566i | −0.0250355 | + | 0.293776i | ||||
\(204\) | 0.139591 | + | 0.354132i | 0.00977335 | + | 0.0247942i | ||||
\(205\) | −1.97513 | − | 2.47673i | −0.137949 | − | 0.172982i | ||||
\(206\) | 9.80088 | − | 11.4059i | 0.682859 | − | 0.794684i | ||||
\(207\) | 2.11530 | + | 1.68689i | 0.147023 | + | 0.117247i | ||||
\(208\) | −0.166439 | + | 1.12685i | −0.0115405 | + | 0.0781332i | ||||
\(209\) | −24.7505 | − | 19.7379i | −1.71203 | − | 1.36530i | ||||
\(210\) | 2.79250 | + | 4.53915i | 0.192701 | + | 0.313231i | ||||
\(211\) | −16.7959 | + | 13.3943i | −1.15628 | + | 0.922101i | −0.997867 | − | 0.0652726i | \(-0.979208\pi\) |
−0.158410 | + | 0.987373i | \(0.550637\pi\) | |||||||
\(212\) | 7.28522 | − | 23.7427i | 0.500351 | − | 1.63065i | ||||
\(213\) | −12.2478 | − | 2.79548i | −0.839206 | − | 0.191543i | ||||
\(214\) | 1.39188 | + | 3.18379i | 0.0951468 | + | 0.217640i | ||||
\(215\) | −7.82717 | −0.533809 | ||||||||
\(216\) | −2.39823 | − | 1.49950i | −0.163179 | − | 0.102028i | ||||
\(217\) | 9.83026 | − | 1.37914i | 0.667322 | − | 0.0936219i | ||||
\(218\) | 8.46435 | + | 11.4511i | 0.573278 | + | 0.775564i | ||||
\(219\) | −11.9552 | + | 2.72870i | −0.807858 | + | 0.184388i | ||||
\(220\) | −11.5214 | − | 0.846281i | −0.776773 | − | 0.0570562i | ||||
\(221\) | 0.0337925 | + | 0.0423745i | 0.00227313 | + | 0.00285042i | ||||
\(222\) | 6.22130 | + | 8.41653i | 0.417546 | + | 0.564881i | ||||
\(223\) | −2.15388 | − | 9.43676i | −0.144234 | − | 0.631932i | −0.994424 | − | 0.105456i | \(-0.966370\pi\) |
0.850190 | − | 0.526477i | \(-0.176487\pi\) | |||||||
\(224\) | −13.7566 | + | 5.89550i | −0.919149 | + | 0.393909i | ||||
\(225\) | −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 | \(-0.147119\pi\) | ||||
0.895079 | + | 0.445908i | \(0.147119\pi\) | |||||||
\(228\) | 8.81380 | + | 12.8865i | 0.583708 | + | 0.853429i | ||||
\(229\) | 8.20775 | + | 17.0436i | 0.542383 | + | 1.12627i | 0.974486 | + | 0.224446i | \(0.0720573\pi\) |
−0.432103 | + | 0.901824i | \(0.642228\pi\) | |||||||
\(230\) | −4.82016 | − | 2.54297i | −0.317832 | − | 0.167679i | ||||
\(231\) | 5.95332 | + | 8.92647i | 0.391700 | + | 0.587318i | ||||
\(232\) | 2.39772 | + | 3.79722i | 0.157418 | + | 0.249300i | ||||
\(233\) | −3.25769 | + | 14.2729i | −0.213418 | + | 0.935047i | 0.748806 | + | 0.662789i | \(0.230627\pi\) |
−0.962224 | + | 0.272258i | \(0.912230\pi\) | |||||||
\(234\) | −0.389080 | − | 0.103945i | −0.0254349 | − | 0.00679512i | ||||
\(235\) | 0.840029 | + | 1.74434i | 0.0547975 | + | 0.113788i | ||||
\(236\) | −3.59946 | − | 0.264391i | −0.234305 | − | 0.0172104i | ||||
\(237\) | 4.04285 | − | 8.39507i | 0.262611 | − | 0.545318i | ||||
\(238\) | −0.241561 | + | 0.669912i | −0.0156581 | + | 0.0434240i | ||||
\(239\) | −4.93373 | − | 10.2450i | −0.319136 | − | 0.662693i | 0.678259 | − | 0.734823i | \(-0.262735\pi\) |
−0.997395 | + | 0.0721297i | \(0.977020\pi\) | |||||||
\(240\) | 5.30961 | + | 2.06577i | 0.342734 | + | 0.133345i | ||||
\(241\) | −1.86855 | + | 0.426484i | −0.120364 | + | 0.0274723i | −0.282279 | − | 0.959332i | \(-0.591090\pi\) |
0.161915 | + | 0.986805i | \(0.448233\pi\) | |||||||
\(242\) | −7.69700 | − | 0.282303i | −0.494782 | − | 0.0181471i | ||||
\(243\) | 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 | ||||
\(248\) | 7.48709 | − | 7.52038i | 0.475431 | − | 0.477544i | ||||
\(249\) | 1.25763 | + | 5.51003i | 0.0796990 | + | 0.349184i | ||||
\(250\) | 0.588513 | − | 16.0458i | 0.0372209 | − | 1.01483i | ||||
\(251\) | −10.6366 | + | 5.12231i | −0.671376 | + | 0.323317i | −0.738331 | − | 0.674439i | \(-0.764386\pi\) |
0.0669554 | + | 0.997756i | \(0.478671\pi\) | |||||||
\(252\) | −1.51547 | − | 5.06985i | −0.0954654 | − | 0.319370i | ||||
\(253\) | −9.88556 | − | 4.76063i | −0.621500 | − | 0.299298i | ||||
\(254\) | −2.14876 | + | 4.07295i | −0.134825 | + | 0.255559i | ||||
\(255\) | 0.244240 | − | 0.117620i | 0.0152949 | − | 0.00736565i | ||||
\(256\) | −7.91791 | + | 13.9035i | −0.494869 | + | 0.868967i | ||||
\(257\) | −25.6796 | − | 5.86120i | −1.60185 | − | 0.365612i | −0.674048 | − | 0.738687i | \(-0.735446\pi\) |
−0.927801 | + | 0.373076i | \(0.878303\pi\) | |||||||
\(258\) | 7.50826 | + | 2.00588i | 0.467444 | + | 0.124881i | ||||
\(259\) | −1.66262 | + | 19.5099i | −0.103310 | + | 1.21228i | ||||
\(260\) | 0.809032 | + | 0.0594258i | 0.0501740 | + | 0.00368543i | ||||
\(261\) | −1.43053 | + | 0.688905i | −0.0885474 | + | 0.0426422i | ||||
\(262\) | −4.19831 | − | 22.0991i | −0.259372 | − | 1.36529i | ||||
\(263\) | 5.38078i | 0.331793i | 0.986143 | + | 0.165897i | \(0.0530518\pi\) | ||||
−0.986143 | + | 0.165897i | \(0.946948\pi\) | |||||||
\(264\) | 10.8351 | + | 3.76441i | 0.666854 | + | 0.231684i | ||||
\(265\) | −17.2433 | − | 3.93568i | −1.05925 | − | 0.241767i | ||||
\(266\) | −3.54512 | + | 28.9921i | −0.217365 | + | 1.77762i | ||||
\(267\) | −8.97624 | + | 2.04877i | −0.549337 | + | 0.125383i | ||||
\(268\) | −10.0131 | + | 17.4026i | −0.611648 | + | 1.06303i | ||||
\(269\) | 14.5020 | − | 11.5649i | 0.884201 | − | 0.705127i | −0.0721351 | − | 0.997395i | \(-0.522981\pi\) |
0.956337 | + | 0.292268i | \(0.0944098\pi\) | |||||||
\(270\) | −0.939905 | + | 1.78157i | −0.0572008 | + | 0.108423i | ||||
\(271\) | 6.18676 | + | 27.1060i | 0.375819 | + | 1.64657i | 0.710103 | + | 0.704098i | \(0.248649\pi\) |
−0.334284 | + | 0.942473i | \(0.608494\pi\) | |||||||
\(272\) | 0.226548 | + | 0.726813i | 0.0137365 | + | 0.0440695i | ||||
\(273\) | −0.418042 | − | 0.626816i | −0.0253010 | − | 0.0379366i | ||||
\(274\) | −2.40560 | − | 12.6626i | −0.145327 | − | 0.764977i | ||||
\(275\) | − | 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 | \(0.0314207\pi\) | |||||||
\(278\) | 16.4038 | − | 19.0901i | 0.983837 | − | 1.14495i | ||||
\(279\) | 2.33926 | + | 2.93334i | 0.140048 | + | 0.175614i | ||||
\(280\) | 4.90496 | + | 9.46305i | 0.293128 | + | 0.565525i | ||||
\(281\) | −11.4335 | + | 14.3371i | −0.682065 | + | 0.855282i | −0.995543 | − | 0.0943131i | \(-0.969935\pi\) |
0.313478 | + | 0.949596i | \(0.398506\pi\) | |||||||
\(282\) | −0.358778 | − | 1.88854i | −0.0213649 | − | 0.112461i | ||||
\(283\) | −5.28715 | + | 6.62988i | −0.314288 | + | 0.394105i | −0.913736 | − | 0.406309i | \(-0.866816\pi\) |
0.599447 | + | 0.800414i | \(0.295387\pi\) | |||||||
\(284\) | −24.0202 | − | 7.37038i | −1.42534 | − | 0.437352i | ||||
\(285\) | 8.69283 | − | 6.93230i | 0.514919 | − | 0.410634i | ||||
\(286\) | 1.63211 | + | 0.0598611i | 0.0965089 | + | 0.00353966i | ||||
\(287\) | −1.79181 | + | 5.60499i | −0.105767 | + | 0.330852i | ||||
\(288\) | −4.56388 | − | 3.34231i | −0.268929 | − | 0.196947i | ||||
\(289\) | −15.2838 | − | 7.36031i | −0.899049 | − | 0.432959i | ||||
\(290\) | 2.57189 | − | 1.90108i | 0.151027 | − | 0.111635i | ||||
\(291\) | −2.76728 | + | 5.74631i | −0.162221 | + | 0.336854i | ||||
\(292\) | −24.2459 | + | 3.69116i | −1.41889 | + | 0.216009i | ||||
\(293\) | − | 7.84107i | − | 0.458080i | −0.973417 | − | 0.229040i | \(-0.926441\pi\) | ||
0.973417 | − | 0.229040i | \(-0.0735587\pi\) | |||||||
\(294\) | 4.13660 | − | 8.99380i | 0.241252 | − | 0.524529i | ||||
\(295\) | 2.57031i | 0.149650i | ||||||||
\(296\) | 11.1761 | + | 17.6993i | 0.649595 | + | 1.02875i | ||||
\(297\) | −1.75957 | + | 3.65379i | −0.102101 | + | 0.212014i | ||||
\(298\) | −5.10049 | − | 6.90023i | −0.295463 | − | 0.399720i | ||||
\(299\) | 0.694163 | + | 0.334291i | 0.0401445 | + | 0.0193326i | ||||
\(300\) | −1.74321 | + | 5.68115i | −0.100644 | + | 0.328001i | ||||
\(301\) | 8.06715 | + | 12.0960i | 0.464983 | + | 0.697200i | ||||
\(302\) | 0.788222 | − | 21.4909i | 0.0453571 | − | 1.23666i | ||||
\(303\) | −9.27581 | + | 7.39721i | −0.532881 | + | 0.424959i | ||||
\(304\) | 15.6922 | + | 26.9951i | 0.900011 | + | 1.54827i | ||||
\(305\) | 6.12842 | − | 7.68479i | 0.350912 | − | 0.440030i | ||||
\(306\) | −0.264432 | + | 0.0502357i | −0.0151166 | + | 0.00287178i | ||||
\(307\) | 5.70350 | − | 7.15196i | 0.325516 | − | 0.408184i | −0.591965 | − | 0.805964i | \(-0.701648\pi\) |
0.917481 | + | 0.397780i | \(0.130219\pi\) | |||||||
\(308\) | 10.5668 | + | 18.6772i | 0.602100 | + | 1.06423i | ||||
\(309\) | 6.63000 | + | 8.31376i | 0.377168 | + | 0.472953i | ||||
\(310\) | −5.73196 | − | 4.92538i | −0.325553 | − | 0.279743i | ||||
\(311\) | 4.90647 | − | 21.4966i | 0.278220 | − | 1.21896i | −0.621822 | − | 0.783159i | \(-0.713607\pi\) |
0.900042 | − | 0.435803i | \(-0.143536\pi\) | |||||||
\(312\) | −0.760839 | − | 0.264337i | −0.0430741 | − | 0.0149651i | ||||
\(313\) | 29.4433i | 1.66424i | 0.554598 | + | 0.832118i | \(0.312872\pi\) | ||||
−0.554598 | + | 0.832118i | \(0.687128\pi\) | |||||||
\(314\) | 0.0606824 | − | 0.0115282i | 0.00342450 | − | 0.000650574i | ||||
\(315\) | −3.52180 | + | 1.34086i | −0.198431 | + | 0.0755487i | ||||
\(316\) | 9.29395 | − | 16.1527i | 0.522826 | − | 0.908661i | ||||
\(317\) | 0.375333 | + | 1.64444i | 0.0210808 | + | 0.0923611i | 0.984374 | − | 0.176091i | \(-0.0563452\pi\) |
−0.963293 | + | 0.268452i | \(0.913488\pi\) | |||||||
\(318\) | 15.5322 | + | 8.19431i | 0.871001 | + | 0.459514i | ||||
\(319\) | 5.03423 | − | 4.01466i | 0.281863 | − | 0.224778i | ||||
\(320\) | 10.2880 | + | 4.89836i | 0.575119 | + | 0.273827i | ||||
\(321\) | −2.39541 | + | 0.546738i | −0.133699 | + | 0.0305159i | ||||
\(322\) | 1.03808 | + | 10.0699i | 0.0578501 | + | 0.561175i | ||||
\(323\) | 1.44846 | + | 0.330602i | 0.0805947 | + | 0.0183952i | ||||
\(324\) | 1.35818 | − | 1.46811i | 0.0754542 | − | 0.0815619i | ||||
\(325\) | 0.846133i | 0.0469350i | ||||||||
\(326\) | 9.10036 | − | 1.72885i | 0.504022 | − | 0.0957522i | ||||
\(327\) | −9.07191 | + | 4.36880i | −0.501678 | + | 0.241595i | ||||
\(328\) | 2.09086 | + | 5.93308i | 0.115448 | + | 0.327600i | ||||
\(329\) | 1.82988 | − | 3.09599i | 0.100885 | − | 0.170687i | ||||
\(330\) | 2.10841 | − | 7.89203i | 0.116064 | − | 0.434442i | ||||
\(331\) | −20.9938 | − | 4.79169i | −1.15392 | − | 0.263375i | −0.397590 | − | 0.917563i | \(-0.630153\pi\) |
−0.756332 | + | 0.654188i | \(0.773011\pi\) | |||||||
\(332\) | 1.70122 | + | 11.1747i | 0.0933665 | + | 0.613292i | ||||
\(333\) | −6.66786 | + | 3.21107i | −0.365396 | + | 0.175966i | ||||
\(334\) | 13.9598 | + | 7.36475i | 0.763844 | + | 0.402981i | ||||
\(335\) | 12.8826 | + | 6.20393i | 0.703851 | + | 0.338957i | ||||
\(336\) | −2.28000 | − | 10.3345i | −0.124384 | − | 0.563792i | ||||
\(337\) | −10.7614 | + | 5.18239i | −0.586208 | + | 0.282303i | −0.703386 | − | 0.710808i | \(-0.748330\pi\) |
0.117178 | + | 0.993111i | \(0.462615\pi\) | |||||||
\(338\) | 18.2578 | + | 0.669643i | 0.993094 | + | 0.0364238i | ||||
\(339\) | −4.34436 | − | 19.0339i | −0.235953 | − | 1.03378i | ||||
\(340\) | 0.504401 | − | 0.198824i | 0.0273550 | − | 0.0107827i | ||||
\(341\) | −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 | ||||
\(346\) | −0.557752 | + | 15.2071i | −0.0299849 | + | 0.817539i | ||||
\(347\) | 16.7103 | − | 3.81402i | 0.897057 | − | 0.204747i | 0.250955 | − | 0.967999i | \(-0.419255\pi\) |
0.646102 | + | 0.763251i | \(0.276398\pi\) | |||||||
\(348\) | −2.95430 | + | 1.16452i | −0.158367 | + | 0.0624248i | ||||
\(349\) | 8.36177 | + | 17.3634i | 0.447595 | + | 0.929441i | 0.995665 | + | 0.0930087i | \(0.0296484\pi\) |
−0.548070 | + | 0.836432i | \(0.684637\pi\) | |||||||
\(350\) | −9.46911 | + | 5.82543i | −0.506145 | + | 0.311382i | ||||
\(351\) | 0.123557 | − | 0.256569i | 0.00659498 | − | 0.0136946i | ||||
\(352\) | 21.0604 | + | 9.09606i | 1.12253 | + | 0.484821i | ||||
\(353\) | −8.15955 | − | 16.9435i | −0.434289 | − | 0.901811i | −0.997163 | − | 0.0752682i | \(-0.976019\pi\) |
0.562874 | − | 0.826543i | \(-0.309696\pi\) | |||||||
\(354\) | 0.658699 | − | 2.46559i | 0.0350095 | − | 0.131045i | ||||
\(355\) | −3.98168 | + | 17.4449i | −0.211326 | + | 0.925879i | ||||
\(356\) | −18.2044 | + | 2.77141i | −0.964832 | + | 0.146884i | ||||
\(357\) | −0.433496 | − | 0.256218i | −0.0229431 | − | 0.0135605i | ||||
\(358\) | 11.5089 | − | 21.8148i | 0.608262 | − | 1.15295i | ||||
\(359\) | −10.8934 | − | 22.6205i | −0.574934 | − | 1.19386i | −0.962314 | − | 0.271942i | \(-0.912334\pi\) |
0.387380 | − | 0.921920i | \(-0.373380\pi\) | |||||||
\(360\) | −2.13578 | + | 3.41587i | −0.112565 | + | 0.180032i | ||||
\(361\) | 41.9362 | 2.20717 | ||||||||
\(362\) | −4.20304 | − | 9.61407i | −0.220907 | − | 0.505304i | ||||
\(363\) | 1.21191 | − | 5.30971i | 0.0636086 | − | 0.278687i | ||||
\(364\) | −0.742001 | − | 1.31151i | −0.0388914 | − | 0.0687419i | ||||
\(365\) | 3.88656 | + | 17.0281i | 0.203432 | + | 0.891294i | ||||
\(366\) | −7.84811 | + | 5.80114i | −0.410227 | + | 0.303230i | ||||
\(367\) | 4.91338 | + | 6.16119i | 0.256476 | + | 0.321611i | 0.893354 | − | 0.449354i | \(-0.148346\pi\) |
−0.636877 | + | 0.770965i | \(0.719774\pi\) | |||||||
\(368\) | 7.38443 | + | 7.91147i | 0.384940 | + | 0.412414i | ||||
\(369\) | −2.16834 | + | 0.494910i | −0.112879 | + | 0.0257640i | ||||
\(370\) | 11.9879 | − | 8.86118i | 0.623222 | − | 0.460671i | ||||
\(371\) | 11.6899 | + | 30.7039i | 0.606909 | + | 1.59407i | ||||
\(372\) | 4.23618 | + | 6.19364i | 0.219636 | + | 0.321125i | ||||
\(373\) | −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 | ||||
\(376\) | −0.438935 | − | 3.81950i | −0.0226364 | − | 0.196976i | ||||
\(377\) | −0.353503 | + | 0.281909i | −0.0182063 | + | 0.0145191i | ||||
\(378\) | 3.72193 | − | 0.383685i | 0.191436 | − | 0.0197346i | ||||
\(379\) | −29.7970 | − | 23.7623i | −1.53057 | − | 1.22059i | −0.892880 | − | 0.450295i | \(-0.851319\pi\) |
−0.637690 | − | 0.770293i | \(-0.720110\pi\) | |||||||
\(380\) | 18.3546 | − | 12.5538i | 0.941571 | − | 0.643994i | ||||
\(381\) | −2.54582 | − | 2.03023i | −0.130426 | − | 0.104012i | ||||
\(382\) | −6.72583 | − | 5.77939i | −0.344123 | − | 0.295699i | ||||
\(383\) | −5.07381 | − | 6.36236i | −0.259260 | − | 0.325101i | 0.635117 | − | 0.772416i | \(-0.280952\pi\) |
−0.894377 | + | 0.447315i | \(0.852380\pi\) | |||||||
\(384\) | −8.61355 | − | 7.33531i | −0.439558 | − | 0.374329i | ||||
\(385\) | 12.7142 | − | 8.47948i | 0.647977 | − | 0.432154i | ||||
\(386\) | −17.8308 | + | 20.7507i | −0.907562 | + | 1.05618i | ||||
\(387\) | −2.38434 | + | 4.95113i | −0.121203 | + | 0.251680i | ||||
\(388\) | −6.36158 | + | 11.0563i | −0.322960 | + | 0.561298i | ||||
\(389\) | −9.22981 | − | 4.44484i | −0.467970 | − | 0.225362i | 0.185011 | − | 0.982736i | \(-0.440768\pi\) |
−0.652981 | + | 0.757374i | \(0.726482\pi\) | |||||||
\(390\) | −0.148052 | + | 0.554177i | −0.00749692 | + | 0.0280619i | ||||
\(391\) | 0.514938 | 0.0260415 | ||||||||
\(392\) | 9.56867 | − | 17.3332i | 0.483291 | − | 0.875460i | ||||
\(393\) | 15.9059 | 0.802349 | ||||||||
\(394\) | −2.90741 | + | 10.8828i | −0.146473 | + | 0.548266i | ||||
\(395\) | −11.9573 | − | 5.75835i | −0.601639 | − | 0.289734i | ||||
\(396\) | −4.04501 | + | 7.03014i | −0.203269 | + | 0.353278i | ||||
\(397\) | 6.11402 | − | 12.6959i | 0.306854 | − | 0.637189i | −0.689332 | − | 0.724446i | \(-0.742096\pi\) |
0.996186 | + | 0.0872568i | \(0.0278101\pi\) | |||||||
\(398\) | −15.9841 | + | 18.6017i | −0.801210 | + | 0.932417i | ||||
\(399\) | −19.6724 | − | 6.28890i | −0.984852 | − | 0.314839i | ||||
\(400\) | −4.30940 | + | 11.0764i | −0.215470 | + | 0.553818i | ||||
\(401\) | −3.70460 | − | 4.64543i | −0.184999 | − | 0.231982i | 0.680680 | − | 0.732581i | \(-0.261684\pi\) |
−0.865679 | + | 0.500599i | \(0.833113\pi\) | |||||||
\(402\) | −10.7678 | − | 9.25260i | −0.537049 | − | 0.461478i | ||||
\(403\) | 0.835325 | + | 0.666150i | 0.0416105 | + | 0.0331833i | ||||
\(404\) | −19.5855 | + | 13.3957i | −0.974417 | + | 0.666459i | ||||
\(405\) | −1.11359 | − | 0.888054i | −0.0553345 | − | 0.0441278i | ||||
\(406\) | −5.58865 | − | 2.01519i | −0.277360 | − | 0.100012i | ||||
\(407\) | 23.4651 | − | 18.7128i | 1.16312 | − | 0.927560i | ||||
\(408\) | −0.534802 | + | 0.0614592i | −0.0264767 | + | 0.00304269i | ||||
\(409\) | −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 | ||||||||
\(412\) | 12.0063 | + | 17.5542i | 0.591509 | + | 0.864834i | ||||
\(413\) | 3.97212 | − | 2.64912i | 0.195455 | − | 0.130355i | ||||
\(414\) | −3.07691 | + | 2.27438i | −0.151222 | + | 0.111780i | ||||
\(415\) | 7.84810 | − | 1.79128i | 0.385248 | − | 0.0879303i | ||||
\(416\) | −1.47886 | − | 0.638724i | −0.0725072 | − | 0.0313160i | ||||
\(417\) | 11.0967 | + | 13.9148i | 0.543408 | + | 0.681412i | ||||
\(418\) | 36.0021 | − | 26.6119i | 1.76092 | − | 1.30163i | ||||
\(419\) | 7.64293 | + | 33.4859i | 0.373382 | + | 1.63589i | 0.717208 | + | 0.696859i | \(0.245420\pi\) |
−0.343827 | + | 0.939033i | \(0.611723\pi\) | |||||||
\(420\) | −7.22113 | + | 2.15852i | −0.352355 | + | 0.105325i | ||||
\(421\) | 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 | ||||||||
\(424\) | 29.7803 | + | 18.6202i | 1.44626 | + | 0.904278i | ||||
\(425\) | 0.245367 | + | 0.509509i | 0.0119020 | + | 0.0247148i | ||||
\(426\) | 8.29009 | − | 15.7137i | 0.401656 | − | 0.761332i | ||||
\(427\) | −18.1922 | − | 1.55034i | −0.880384 | − | 0.0750261i | ||||
\(428\) | −4.85806 | + | 0.739582i | −0.234823 | + | 0.0357491i | ||||
\(429\) | −0.256979 | + | 1.12590i | −0.0124071 | + | 0.0543590i | ||||
\(430\) | 2.85704 | − | 10.6942i | 0.137779 | − | 0.515722i | ||||
\(431\) | 13.1412 | + | 27.2880i | 0.632990 | + | 1.31442i | 0.932792 | + | 0.360416i | \(0.117365\pi\) |
−0.299802 | + | 0.954002i | \(0.596920\pi\) | |||||||
\(432\) | 2.92415 | − | 2.72935i | 0.140688 | − | 0.131316i | ||||
\(433\) | 11.5721 | − | 24.0297i | 0.556119 | − | 1.15479i | −0.413575 | − | 0.910470i | \(-0.635720\pi\) |
0.969694 | − | 0.244323i | \(-0.0785658\pi\) | |||||||
\(434\) | −1.70389 | + | 13.9345i | −0.0817893 | + | 0.668875i | ||||
\(435\) | 0.981227 | + | 2.03754i | 0.0470463 | + | 0.0976926i | ||||
\(436\) | −18.7352 | + | 7.38499i | −0.897251 | + | 0.353677i | ||||
\(437\) | 20.5906 | − | 4.69966i | 0.984980 | − | 0.224815i | ||||
\(438\) | 0.635627 | − | 17.3304i | 0.0303714 | − | 0.828077i | ||||
\(439\) | 9.79589 | − | 12.2837i | 0.467532 | − | 0.586267i | −0.491033 | − | 0.871141i | \(-0.663380\pi\) |
0.958565 | + | 0.284874i | \(0.0919518\pi\) | |||||||
\(440\) | 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 | 0.636027 | − | 0.771667i | \(-0.280577\pi\) |
−0.610791 | + | 0.791792i | \(0.709148\pi\) | |||||||
\(444\) | −13.7703 | + | 5.42797i | −0.653511 | + | 0.257600i | ||||
\(445\) | 2.91812 | + | 12.7851i | 0.138332 | + | 0.606073i | ||||
\(446\) | 13.6796 | + | 0.501728i | 0.647748 | + | 0.0237575i | ||||
\(447\) | 5.46659 | − | 2.63257i | 0.258561 | − | 0.124516i | ||||
\(448\) | −3.03363 | − | 20.9475i | −0.143326 | − | 0.989676i | ||||
\(449\) | −9.44725 | − | 4.54955i | −0.445843 | − | 0.214707i | 0.197472 | − | 0.980309i | \(-0.436727\pi\) |
−0.643315 | + | 0.765602i | \(0.722441\pi\) | |||||||
\(450\) | −3.71653 | − | 1.96073i | −0.175199 | − | 0.0924298i | ||||
\(451\) | 8.12641 | − | 3.91347i | 0.382658 | − | 0.184278i | ||||
\(452\) | −5.87670 | − | 38.6020i | −0.276417 | − | 1.81569i | ||||
\(453\) | 14.8253 | + | 3.38378i | 0.696553 | + | 0.158984i | ||||
\(454\) | −9.84499 | + | 36.8510i | −0.462048 | + | 1.72950i | ||||
\(455\) | −0.892792 | + | 0.595429i | −0.0418547 | + | 0.0279141i | ||||
\(456\) | −20.8239 | + | 7.33849i | −0.975170 | + | 0.343656i | ||||
\(457\) | 16.4874 | − | 7.93992i | 0.771248 | − | 0.371414i | −0.00650846 | − | 0.999979i | \(-0.502072\pi\) |
0.777757 | + | 0.628565i | \(0.216357\pi\) | |||||||
\(458\) | −26.2825 | + | 4.99305i | −1.22810 | + | 0.233310i | ||||
\(459\) | − | 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 | \(0.770741\pi\) | |||||||
\(462\) | −14.3692 | + | 4.87570i | −0.668518 | + | 0.226838i | ||||
\(463\) | −20.0692 | + | 4.58066i | −0.932694 | + | 0.212881i | −0.661759 | − | 0.749717i | \(-0.730190\pi\) |
−0.270935 | + | 0.962598i | \(0.587333\pi\) | |||||||
\(464\) | −6.06334 | + | 1.88995i | −0.281483 | + | 0.0877385i | ||||
\(465\) | 4.17803 | − | 3.33187i | 0.193752 | − | 0.154512i | ||||
\(466\) | −18.3119 | − | 9.66079i | −0.848280 | − | 0.447527i | ||||
\(467\) | −0.468610 | − | 2.05312i | −0.0216847 | − | 0.0950068i | 0.962928 | − | 0.269760i | \(-0.0869444\pi\) |
−0.984612 | + | 0.174753i | \(0.944087\pi\) | |||||||
\(468\) | 0.284040 | − | 0.493656i | 0.0131298 | − | 0.0228193i | ||||
\(469\) | −3.69013 | − | 26.3027i | −0.170394 | − | 1.21454i | ||||
\(470\) | −2.68991 | + | 0.511018i | −0.124076 | + | 0.0235715i | ||||
\(471\) | 0.0436764i | 0.00201250i | ||||||||
\(472\) | 1.67510 | − | 4.82142i | 0.0771025 | − | 0.221924i | ||||
\(473\) | 4.95906 | − | 21.7271i | 0.228018 | − | 0.999011i | ||||
\(474\) | 9.99444 | + | 8.58806i | 0.459060 | + | 0.394463i | ||||
\(475\) | 14.4614 | + | 18.1341i | 0.663537 | + | 0.832049i | ||||
\(476\) | −0.827125 | − | 0.574572i | −0.0379112 | − | 0.0263355i | ||||
\(477\) | −7.74226 | + | 9.70849i | −0.354494 | + | 0.444521i | ||||
\(478\) | 15.7986 | − | 3.00135i | 0.722610 | − | 0.137279i | ||||
\(479\) | −11.3019 | + | 14.1722i | −0.516398 | + | 0.647542i | −0.969840 | − | 0.243743i | \(-0.921625\pi\) |
0.453442 | + | 0.891286i | \(0.350196\pi\) | |||||||
\(480\) | −4.76054 | + | 6.50046i | −0.217288 | + | 0.296704i | ||||
\(481\) | −1.64772 | + | 1.31401i | −0.0751296 | + | 0.0599138i | ||||
\(482\) | 0.0993459 | − | 2.70867i | 0.00452508 | − | 0.123376i | ||||
\(483\) | −7.13240 | − | 0.607820i | −0.324535 | − | 0.0276568i | ||||
\(484\) | 3.19523 | − | 10.4133i | 0.145238 | − | 0.473333i | ||||
\(485\) | 8.18463 | + | 3.94151i | 0.371645 | + | 0.178975i | ||||
\(486\) | 0.840630 | + | 1.13725i | 0.0381317 | + | 0.0515868i | ||||
\(487\) | 3.85320 | − | 8.00126i | 0.174605 | − | 0.362572i | −0.795239 | − | 0.606296i | \(-0.792655\pi\) |
0.969845 | + | 0.243724i | \(0.0783691\pi\) | |||||||
\(488\) | −16.5040 | + | 10.4213i | −0.747100 | + | 0.471749i | ||||
\(489\) | 6.55002i | 0.296202i | ||||||||
\(490\) | −12.8101 | − | 5.89188i | −0.578703 | − | 0.266168i | ||||
\(491\) | − | 28.7534i | − | 1.29762i | −0.760949 | − | 0.648812i | \(-0.775266\pi\) | ||
0.760949 | − | 0.648812i | \(-0.224734\pi\) | |||||||
\(492\) | −4.39754 | + | 0.669474i | −0.198257 | + | 0.0301822i | ||||
\(493\) | −0.131116 | + | 0.272266i | −0.00590518 | + | 0.0122622i | ||||
\(494\) | −2.52807 | + | 1.86869i | −0.113743 | + | 0.0840761i | ||||
\(495\) | 5.20420 | + | 2.50621i | 0.233911 | + | 0.112646i | ||||
\(496\) | 7.54215 | + | 12.9746i | 0.338653 | + | 0.582578i | ||||
\(497\) | 31.0628 | − | 11.8265i | 1.39336 | − | 0.530493i | ||||
\(498\) | −7.98739 | − | 0.292954i | −0.357923 | − | 0.0131276i | ||||
\(499\) | 14.0042 | − | 11.1680i | 0.626916 | − | 0.499949i | −0.257727 | − | 0.966218i | \(-0.582974\pi\) |
0.884643 | + | 0.466269i | \(0.154402\pi\) | |||||||
\(500\) | 21.7085 | + | 6.66105i | 0.970834 | + | 0.297891i | ||||
\(501\) | −6.95847 | + | 8.72565i | −0.310882 | + | 0.389833i | ||||
\(502\) | −3.11607 | − | 16.4024i | −0.139077 | − | 0.732077i | ||||
\(503\) | 8.24839 | − | 10.3432i | 0.367778 | − | 0.461179i | −0.563165 | − | 0.826345i | \(-0.690416\pi\) |
0.930942 | + | 0.365166i | \(0.118988\pi\) | |||||||
\(504\) | 7.48008 | − | 0.220003i | 0.333189 | − | 0.00979970i | ||||
\(505\) | 10.5361 | + | 13.2118i | 0.468848 | + | 0.587917i | ||||
\(506\) | 10.1128 | − | 11.7689i | 0.449569 | − | 0.523191i | ||||
\(507\) | −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 | \(0.674538\pi\) | |||||||
\(510\) | 0.0715521 | + | 0.376638i | 0.00316838 | + | 0.0166778i | ||||
\(511\) | 22.3093 | − | 23.5564i | 0.986903 | − | 1.04208i | ||||
\(512\) | −16.1061 | − | 15.8932i | −0.711796 | − | 0.702386i | ||||
\(513\) | −1.73704 | − | 7.61045i | −0.0766920 | − | 0.336010i | ||||
\(514\) | 17.3816 | − | 32.9465i | 0.766669 | − | 1.45321i | ||||
\(515\) | 11.8415 | − | 9.44330i | 0.521800 | − | 0.416122i | ||||
\(516\) | −5.48126 | + | 9.52633i | −0.241299 | + | 0.419373i | ||||
\(517\) | −5.37424 | + | 1.22663i | −0.236359 | + | 0.0539473i | ||||
\(518\) | −26.0494 | − | 9.39304i | −1.14454 | − | 0.412706i | ||||
\(519\) | −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 | \(-0.000389447\pi\) | |||||||
\(522\) | −0.419084 | − | 2.20598i | −0.0183428 | − | 0.0965532i | ||||
\(523\) | 18.7479 | − | 9.02849i | 0.819786 | − | 0.394788i | 0.0235117 | − | 0.999724i | \(-0.492515\pi\) |
0.796275 | + | 0.604935i | \(0.206801\pi\) | |||||||
\(524\) | 31.7264 | + | 2.33040i | 1.38597 | + | 0.101804i | ||||
\(525\) | −2.79715 | − | 7.34682i | −0.122078 | − | 0.320642i | ||||
\(526\) | −7.35174 | − | 1.96407i | −0.320551 | − | 0.0856374i | ||||
\(527\) | 0.696175 | + | 0.158897i | 0.0303259 | + | 0.00692168i | ||||
\(528\) | −9.09828 | + | 13.4299i | −0.395952 | + | 0.584460i | ||||
\(529\) | −14.1271 | + | 6.80326i | −0.614223 | + | 0.295794i | ||||
\(530\) | 11.6714 | − | 22.1229i | 0.506973 | − | 0.960958i | ||||
\(531\) | 1.62587 | + | 0.782978i | 0.0705568 | + | 0.0339783i | ||||
\(532\) | −38.3177 | − | 15.4262i | −1.66128 | − | 0.668812i | ||||
\(533\) | −0.570636 | + | 0.274804i | −0.0247170 | + | 0.0119031i | ||||
\(534\) | 0.477243 | − | 13.0120i | 0.0206523 | − | 0.563086i | ||||
\(535\) | 0.778734 | + | 3.41186i | 0.0336676 | + | 0.147507i | ||||
\(536\) | −20.1221 | − | 20.0331i | −0.869144 | − | 0.865297i | ||||
\(537\) | 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 | \(0.860261\pi\) | |||||||
\(542\) | −39.2930 | − | 1.44115i | −1.68778 | − | 0.0619028i | ||||
\(543\) | 7.23341 | − | 1.65098i | 0.310415 | − | 0.0708503i | ||||
\(544\) | −1.07574 | + | 0.0442337i | −0.0461218 | + | 0.00189650i | ||||
\(545\) | 6.22261 | + | 12.9214i | 0.266547 | + | 0.553491i | ||||
\(546\) | 1.00901 | − | 0.342371i | 0.0431815 | − | 0.0146521i | ||||
\(547\) | −15.0596 | + | 31.2716i | −0.643902 | + | 1.33708i | 0.282037 | + | 0.959404i | \(0.408990\pi\) |
−0.925939 | + | 0.377673i | \(0.876724\pi\) | |||||||
\(548\) | 18.1790 | + | 1.33530i | 0.776567 | + | 0.0570411i | ||||
\(549\) | −2.99421 | − | 6.21754i | −0.127790 | − | 0.265358i | ||||
\(550\) | 16.4635 | + | 4.39835i | 0.702007 | + | 0.187546i | ||||
\(551\) | −2.75800 | + | 12.0836i | −0.117495 | + | 0.514779i | ||||
\(552\) | −6.47050 | + | 4.08573i | −0.275403 | + | 0.173900i | ||||
\(553\) | 3.42510 | + | 24.4136i | 0.145650 | + | 1.03817i | ||||
\(554\) | 5.21933 | + | 2.75356i | 0.221748 | + | 0.116988i | ||||
\(555\) | 4.57362 | + | 9.49722i | 0.194139 | + | 0.403135i | ||||
\(556\) | 20.0951 | + | 29.3807i | 0.852222 | + | 1.24602i | ||||
\(557\) | 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 | ||||
\(560\) | −14.7197 | + | 3.24747i | −0.622021 | + | 0.137231i | ||||
\(561\) | 0.171752 | + | 0.752495i | 0.00725137 | + | 0.0317703i | ||||
\(562\) | −15.4154 | − | 20.8548i | −0.650259 | − | 0.879707i | ||||
\(563\) | −26.1401 | − | 32.7787i | −1.10167 | − | 1.38146i | −0.917109 | − | 0.398636i | \(-0.869484\pi\) |
−0.184566 | − | 0.982820i | \(-0.559088\pi\) | |||||||
\(564\) | 2.71127 | + | 0.199151i | 0.114165 | + | 0.00838575i | ||||
\(565\) | −27.1105 | + | 6.18780i | −1.14055 | + | 0.260323i | ||||
\(566\) | −7.12848 | − | 9.64382i | −0.299632 | − | 0.405360i | ||||
\(567\) | −0.224656 | + | 2.63620i | −0.00943465 | + | 0.110710i | ||||
\(568\) | 18.8379 | − | 30.1284i | 0.790419 | − | 1.26416i | ||||
\(569\) | −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 | −0.202562 | − | 0.979270i | \(-0.564927\pi\) |
−0.607391 | + | 0.794403i | \(0.707784\pi\) | |||||||
\(572\) | −0.677535 | + | 2.20810i | −0.0283292 | + | 0.0923253i | ||||
\(573\) | 4.90247 | − | 3.90959i | 0.204804 | − | 0.163325i | ||||
\(574\) | −7.00404 | − | 4.49405i | −0.292343 | − | 0.187578i | ||||
\(575\) | 6.28515 | + | 5.01224i | 0.262109 | + | 0.209025i | ||||
\(576\) | 6.23247 | − | 5.01561i | 0.259686 | − | 0.208984i | ||||
\(577\) | −16.7689 | − | 13.3728i | −0.698099 | − | 0.556716i | 0.208854 | − | 0.977947i | \(-0.433027\pi\) |
−0.906953 | + | 0.421231i | \(0.861598\pi\) | |||||||
\(578\) | 15.6352 | − | 18.1956i | 0.650338 | − | 0.756838i | ||||
\(579\) | −12.0620 | − | 15.1253i | −0.501279 | − | 0.628584i | ||||
\(580\) | 1.65866 | + | 4.20789i | 0.0688721 | + | 0.174723i | ||||
\(581\) | −10.8569 | − | 10.2821i | −0.450421 | − | 0.426574i | ||||
\(582\) | −6.84106 | − | 5.87841i | −0.283571 | − | 0.243668i | ||||
\(583\) | 21.8497 | − | 45.3714i | 0.904922 | − | 1.87909i | ||||
\(584\) | 3.80693 | − | 34.4745i | 0.157532 | − | 1.42656i | ||||
\(585\) | −0.365438 | − | 0.175986i | −0.0151090 | − | 0.00727611i | ||||
\(586\) | 10.7132 | + | 2.86211i | 0.442559 | + | 0.118233i | ||||
\(587\) | −11.0746 | −0.457097 | −0.228549 | − | 0.973533i | \(-0.573398\pi\) | ||||
−0.228549 | + | 0.973533i | \(0.573398\pi\) | |||||||
\(588\) | 10.7783 | + | 8.93470i | 0.444488 | + | 0.368461i | ||||
\(589\) | 29.2878 | 1.20678 | ||||||||
\(590\) | −3.51181 | − | 0.938205i | −0.144579 | − | 0.0386253i | ||||
\(591\) | −7.17636 | − | 3.45595i | −0.295196 | − | 0.142159i | ||||
\(592\) | −28.2619 | + | 8.80927i | −1.16156 | + | 0.362059i | ||||
\(593\) | −9.40102 | + | 19.5214i | −0.386054 | + | 0.801649i | 0.613871 | + | 0.789406i | \(0.289611\pi\) |
−0.999925 | + | 0.0122426i | \(0.996103\pi\) | |||||||
\(594\) | −4.34988 | − | 3.73778i | −0.178478 | − | 0.153363i | ||||
\(595\) | −0.364939 | + | 0.617441i | −0.0149611 | + | 0.0253126i | ||||
\(596\) | 11.2895 | − | 4.45008i | 0.462436 | − | 0.182282i | ||||
\(597\) | −10.8128 | − | 13.5588i | −0.442537 | − | 0.554924i | ||||
\(598\) | −0.710121 | + | 0.826410i | −0.0290390 | + | 0.0337944i | ||||
\(599\) | −14.4887 | − | 11.5543i | −0.591991 | − | 0.472097i | 0.281084 | − | 0.959683i | \(-0.409306\pi\) |
−0.873075 | + | 0.487586i | \(0.837878\pi\) | |||||||
\(600\) | −7.12583 | − | 4.45544i | −0.290911 | − | 0.181893i | ||||
\(601\) | −6.07987 | − | 4.84853i | −0.248003 | − | 0.197776i | 0.491596 | − | 0.870823i | \(-0.336414\pi\) |
−0.739599 | + | 0.673047i | \(0.764985\pi\) | |||||||
\(602\) | −19.4713 | + | 6.60690i | −0.793591 | + | 0.269277i | ||||
\(603\) | 7.84867 | − | 6.25911i | 0.319623 | − | 0.254891i | ||||
\(604\) | 29.0752 | + | 8.92144i | 1.18305 | + | 0.363008i | ||||
\(605\) | −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 | \(-0.180293\pi\) | ||||
0.843835 | + | 0.536602i | \(0.180293\pi\) | |||||||
\(608\) | −42.6111 | + | 11.5866i | −1.72811 | + | 0.469899i | ||||
\(609\) | 2.13747 | − | 3.61638i | 0.0866145 | − | 0.146543i | ||||
\(610\) | 8.26273 | + | 11.1783i | 0.334548 | + | 0.452596i | ||||
\(611\) | 0.377379 | − | 0.0861342i | 0.0152671 | − | 0.00348462i | ||||
\(612\) | 0.0278848 | − | 0.379629i | 0.00112718 | − | 0.0153456i | ||||
\(613\) | −12.0191 | − | 15.0715i | −0.485447 | − | 0.608731i | 0.477431 | − | 0.878669i | \(-0.341568\pi\) |
−0.962878 | + | 0.269939i | \(0.912997\pi\) | |||||||
\(614\) | 7.68983 | + | 10.4032i | 0.310336 | + | 0.419841i | ||||
\(615\) | 0.704915 | + | 3.08843i | 0.0284249 | + | 0.124538i | ||||
\(616\) | −29.3756 | + | 7.61994i | −1.18358 | + | 0.307016i | ||||
\(617\) | −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 | \(-0.437473\pi\) | ||||
0.195174 | + | 0.980769i | \(0.437473\pi\) | |||||||
\(620\) | 8.82177 | − | 6.03371i | 0.354291 | − | 0.242320i | ||||
\(621\) | −1.17390 | − | 2.43763i | −0.0471070 | − | 0.0978187i | ||||
\(622\) | 27.5798 | + | 14.5503i | 1.10585 | + | 0.583413i | ||||
\(623\) | 16.7503 | − | 17.6867i | 0.671087 | − | 0.708603i | ||||
\(624\) | 0.638880 | − | 0.943045i | 0.0255757 | − | 0.0377520i | ||||
\(625\) | 0.292618 | − | 1.28204i | 0.0117047 | − | 0.0512817i | ||||
\(626\) | −40.2283 | − | 10.7473i | −1.60785 | − | 0.429548i | ||||
\(627\) | 13.7355 | + | 28.5221i | 0.548543 | + | 1.13906i | ||||
\(628\) | −0.00639907 | + | 0.0871180i | −0.000255351 | + | 0.00347639i | ||||
\(629\) | −0.611149 | + | 1.26906i | −0.0243681 | + | 0.0506009i | ||||
\(630\) | −0.546493 | − | 5.30126i | −0.0217728 | − | 0.211207i | ||||
\(631\) | −1.23201 | − | 2.55829i | −0.0490455 | − | 0.101844i | 0.875006 | − | 0.484112i | \(-0.160857\pi\) |
−0.924051 | + | 0.382268i | \(0.875143\pi\) | |||||||
\(632\) | 18.6769 | + | 18.5943i | 0.742929 | + | 0.739640i | ||||
\(633\) | 20.9442 | − | 4.78037i | 0.832455 | − | 0.190002i | ||||
\(634\) | −2.38380 | − | 0.0874307i | −0.0946727 | − | 0.00347232i | ||||
\(635\) | −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 | ||||
\(640\) | −10.4479 | + | 12.2685i | −0.412989 | + | 0.484956i | ||||
\(641\) | −8.86521 | − | 38.8410i | −0.350155 | − | 1.53413i | −0.776823 | − | 0.629719i | \(-0.783170\pi\) |
0.426668 | − | 0.904408i | \(-0.359687\pi\) | |||||||
\(642\) | 0.127358 | − | 3.47241i | 0.00502641 | − | 0.137045i | ||||
\(643\) | −9.37133 | + | 4.51300i | −0.369569 | + | 0.177975i | −0.609445 | − | 0.792828i | \(-0.708608\pi\) |
0.239876 | + | 0.970804i | \(0.422893\pi\) | |||||||
\(644\) | −14.1374 | − | 2.25735i | −0.557092 | − | 0.0889521i | ||||
\(645\) | 7.05204 | + | 3.39608i | 0.277674 | + | 0.133721i | ||||
\(646\) | −0.980412 | + | 1.85835i | −0.0385738 | + | 0.0731160i | ||||
\(647\) | 14.5023 | − | 6.98393i | 0.570143 | − | 0.274567i | −0.126521 | − | 0.991964i | \(-0.540381\pi\) |
0.696664 | + | 0.717397i | \(0.254667\pi\) | |||||||
\(648\) | 1.51012 | + | 2.39155i | 0.0593232 | + | 0.0939491i | ||||
\(649\) | −7.13481 | − | 1.62847i | −0.280066 | − | 0.0639231i | ||||
\(650\) | −1.15607 | − | 0.308852i | −0.0453447 | − | 0.0121142i | ||||
\(651\) | −9.45515 | − | 3.02263i | −0.370576 | − | 0.118466i | ||||
\(652\) | −0.959651 | + | 13.0648i | −0.0375828 | + | 0.511658i | ||||
\(653\) | 43.6296 | − | 21.0109i | 1.70736 | − | 0.822221i | 0.714960 | − | 0.699165i | \(-0.246445\pi\) |
0.992400 | − | 0.123056i | \(-0.0392694\pi\) | |||||||
\(654\) | −2.65769 | − | 13.9896i | −0.103924 | − | 0.547036i | ||||
\(655\) | − | 22.6553i | − | 0.885215i | ||||||
\(656\) | −8.86954 | + | 0.691062i | −0.346297 | + | 0.0269814i | ||||
\(657\) | 11.9552 | + | 2.72870i | 0.466417 | + | 0.106457i | ||||
\(658\) | 3.56210 | + | 3.63025i | 0.138865 | + | 0.141522i | ||||
\(659\) | 9.58250 | − | 2.18714i | 0.373281 | − | 0.0851990i | −0.0317646 | − | 0.999495i | \(-0.510113\pi\) |
0.405046 | + | 0.914296i | \(0.367256\pi\) | |||||||
\(660\) | 10.0132 | + | 5.76142i | 0.389765 | + | 0.224263i | ||||
\(661\) | −23.5610 | + | 18.7893i | −0.916417 | + | 0.730818i | −0.963397 | − | 0.268078i | \(-0.913612\pi\) |
0.0469806 | + | 0.998896i | \(0.485040\pi\) | |||||||
\(662\) | 14.2099 | − | 26.9347i | 0.552284 | − | 1.04685i | ||||
\(663\) | −0.0120604 | − | 0.0528401i | −0.000468388 | − | 0.00205214i | ||||
\(664\) | −15.8889 | − | 1.75457i | −0.616610 | − | 0.0680907i | ||||
\(665\) | −8.95746 | + | 28.0200i | −0.347355 | + | 1.08657i | ||||
\(666\) | −1.95340 | − | 10.2824i | −0.0756928 | − | 0.398433i | ||||
\(667\) | 4.29580i | 0.166334i | ||||||||
\(668\) | −15.1580 | + | 16.3849i | −0.586479 | + | 0.633951i | ||||
\(669\) | −2.15388 | + | 9.43676i | −0.0832738 | + | 0.364846i | ||||
\(670\) | −13.1787 | + | 15.3369i | −0.509139 | + | 0.592516i | ||||
\(671\) | 17.4490 | + | 21.8804i | 0.673613 | + | 0.844684i | ||||
\(672\) | 14.9522 | + | 0.657092i | 0.576794 | + | 0.0253479i | ||||
\(673\) | −16.2393 | + | 20.3634i | −0.625978 | + | 0.784952i | −0.989172 | − | 0.146762i | \(-0.953115\pi\) |
0.363194 | + | 0.931714i | \(0.381686\pi\) | |||||||
\(674\) | −3.15262 | − | 16.5948i | −0.121435 | − | 0.639210i | ||||
\(675\) | 1.85257 | − | 2.32305i | 0.0713054 | − | 0.0894141i | ||||
\(676\) | −7.57931 | + | 24.7011i | −0.291512 | + | 0.950044i | ||||
\(677\) | 21.4268 | − | 17.0873i | 0.823499 | − | 0.656718i | −0.118269 | − | 0.992982i | \(-0.537735\pi\) |
0.941768 | + | 0.336263i | \(0.109163\pi\) | |||||||
\(678\) | 27.5917 | + | 1.01198i | 1.05965 | + | 0.0388650i | ||||
\(679\) | −2.34443 | − | 16.7107i | −0.0899710 | − | 0.641299i | ||||
\(680\) | 0.0875382 | + | 0.761735i | 0.00335694 | + | 0.0292112i | ||||
\(681\) | −24.3004 | − | 11.7025i | −0.931195 | − | 0.448440i | ||||
\(682\) | 17.3037 | − | 12.7905i | 0.662593 | − | 0.489773i | ||||
\(683\) | −14.3160 | + | 29.7276i | −0.547788 | + | 1.13749i | 0.424871 | + | 0.905254i | \(0.360320\pi\) |
−0.972659 | + | 0.232239i | \(0.925395\pi\) | |||||||
\(684\) | −2.34972 | − | 15.4345i | −0.0898438 | − | 0.590153i | ||||
\(685\) | − | 12.9813i | − | 0.495990i | ||||||
\(686\) | 4.09768 | + | 25.8691i | 0.156450 | + | 0.987686i | ||||
\(687\) | − | 18.9169i | − | 0.721726i | ||||||
\(688\) | −12.3288 | + | 18.1984i | −0.470031 | + | 0.693807i | ||||
\(689\) | −1.53428 | + | 3.18597i | −0.0584516 | + | 0.121376i | ||||
\(690\) | 3.23946 | + | 4.38253i | 0.123324 | + | 0.166840i | ||||
\(691\) | −7.85280 | − | 3.78171i | −0.298734 | − | 0.143863i | 0.278512 | − | 0.960433i | \(-0.410159\pi\) |
−0.577247 | + | 0.816570i | \(0.695873\pi\) | |||||||
\(692\) | −20.5738 | − | 6.31288i | −0.782099 | − | 0.239980i | ||||
\(693\) | −1.49071 | − | 10.6255i | −0.0566273 | − | 0.403630i | ||||
\(694\) | −0.888444 | + | 24.2234i | −0.0337249 | + | 0.919508i | ||||
\(695\) | 19.8193 | − | 15.8054i | 0.751789 | − | 0.599531i | ||||
\(696\) | −0.512715 | − | 4.46151i | −0.0194344 | − | 0.169113i | ||||
\(697\) | −0.263926 | + | 0.330953i | −0.00999691 | + | 0.0125357i | ||||
\(698\) | −26.7757 | + | 5.08674i | −1.01348 | + | 0.192536i | ||||
\(699\) | 9.12785 | − | 11.4460i | 0.345247 | − | 0.432926i | ||||
\(700\) | −4.50289 | − | 15.0640i | −0.170193 | − | 0.569365i | ||||
\(701\) | 22.6571 | + | 28.4111i | 0.855747 | + | 1.07307i | 0.996547 | + | 0.0830345i | \(0.0264612\pi\) |
−0.140800 | + | 0.990038i | \(0.544967\pi\) | |||||||
\(702\) | 0.305448 | + | 0.262467i | 0.0115284 | + | 0.00990617i | ||||
\(703\) | −12.8554 | + | 56.3231i | −0.484850 | + | 2.12427i | ||||
\(704\) | −20.1153 | + | 25.4546i | −0.758123 | + | 0.959356i | ||||
\(705\) | − | 1.93607i | − | 0.0729166i | ||||||
\(706\) | 26.1282 | − | 4.96373i | 0.983347 | − | 0.186812i | ||||
\(707\) | 9.55818 | − | 29.8991i | 0.359472 | − | 1.12447i | ||||
\(708\) | 3.12829 | + | 1.79996i | 0.117568 | + | 0.0676465i | ||||
\(709\) | 0.829921 | + | 3.63612i | 0.0311683 | + | 0.136557i | 0.988118 | − | 0.153696i | \(-0.0491176\pi\) |
−0.956950 | + | 0.290253i | \(0.906260\pi\) | |||||||
\(710\) | −22.3815 | − | 11.8078i | −0.839963 | − | 0.443139i | ||||
\(711\) | −7.28497 | + | 5.80957i | −0.273208 | + | 0.217876i | ||||
\(712\) | 2.85833 | − | 25.8842i | 0.107120 | − | 0.970052i | ||||
\(713\) | 9.89644 | − | 2.25880i | 0.370625 | − | 0.0845926i | ||||
\(714\) | 0.508303 | − | 0.498761i | 0.0190228 | − | 0.0186656i | ||||
\(715\) | 1.60365 | + | 0.366023i | 0.0599732 | + | 0.0136885i | ||||
\(716\) | 25.6046 | + | 23.6872i | 0.956889 | + | 0.885234i | ||||
\(717\) | 11.3711i | 0.424661i | ||||||||
\(718\) | 34.8825 | − | 6.62684i | 1.30180 | − | 0.247311i | ||||
\(719\) | 6.63579 | − | 3.19563i | 0.247473 | − | 0.119177i | −0.306036 | − | 0.952020i | \(-0.599003\pi\) |
0.553509 | + | 0.832843i | \(0.313288\pi\) | |||||||
\(720\) | −3.88749 | − | 4.16495i | −0.144878 | − | 0.155219i | ||||
\(721\) | −26.7981 | − | 8.56685i | −0.998013 | − | 0.319046i | ||||
\(722\) | −15.3074 | + | 57.2973i | −0.569681 | + | 2.13238i | ||||
\(723\) | 1.86855 | + | 0.426484i | 0.0694921 | + | 0.0158611i | ||||
\(724\) | 14.6698 | − | 2.23331i | 0.545200 | − | 0.0830003i | ||||
\(725\) | −4.25050 | + | 2.04694i | −0.157860 | + | 0.0760213i | ||||
\(726\) | 6.81227 | + | 3.59395i | 0.252827 | + | 0.133384i | ||||
\(727\) | −32.9993 | − | 15.8916i | −1.22387 | − | 0.589387i | −0.293487 | − | 0.955963i | \(-0.594816\pi\) |
−0.930388 | + | 0.366576i | \(0.880530\pi\) | |||||||
\(728\) | 2.06275 | − | 0.535071i | 0.0764507 | − | 0.0198311i | ||||
\(729\) | −0.900969 | + | 0.433884i | −0.0333692 | + | 0.0160698i | ||||
\(730\) | −24.6841 | − | 0.905341i | −0.913601 | − | 0.0335082i | ||||
\(731\) | 0.232736 | + | 1.01968i | 0.00860804 | + | 0.0377143i | ||||
\(732\) | −5.06139 | − | 12.8403i | −0.187074 | − | 0.474593i | ||||
\(733\) | −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 | ||||
\(738\) | 0.115285 | − | 3.14325i | 0.00424370 | − | 0.115705i | ||||
\(739\) | −3.12976 | + | 0.714347i | −0.115130 | + | 0.0262777i | −0.279698 | − | 0.960088i | \(-0.590234\pi\) |
0.164568 | + | 0.986366i | \(0.447377\pi\) | |||||||
\(740\) | 7.73122 | + | 19.6135i | 0.284205 | + | 0.721006i | ||||
\(741\) | −0.964506 | − | 2.00282i | −0.0354320 | − | 0.0735753i | ||||
\(742\) | −46.2176 | + | 4.76445i | −1.69670 | + | 0.174909i | ||||
\(743\) | −14.6026 | + | 30.3227i | −0.535719 | + | 1.11243i | 0.440921 | + | 0.897546i | \(0.354652\pi\) |
−0.976639 | + | 0.214885i | \(0.931062\pi\) | |||||||
\(744\) | −10.0086 | + | 3.52710i | −0.366933 | + | 0.129310i | ||||
\(745\) | −3.74965 | − | 7.78623i | −0.137376 | − | 0.285265i | ||||
\(746\) | 8.25099 | − | 30.8844i | 0.302090 | − | 1.13076i | ||||
\(747\) | 1.25763 | − | 5.51003i | 0.0460142 | − | 0.201602i | ||||
\(748\) | 0.232332 | + | 1.52611i | 0.00849491 | + | 0.0558001i | ||||
\(749\) | 4.47001 | − | 4.71991i | 0.163331 | − | 0.172462i | ||||
\(750\) | −7.49225 | + | 14.2014i | −0.273578 | + | 0.518563i | ||||
\(751\) | −10.8932 | − | 22.6199i | −0.397498 | − | 0.825413i | −0.999635 | − | 0.0270203i | \(-0.991398\pi\) |
0.602137 | − | 0.798393i | \(-0.294316\pi\) | |||||||
\(752\) | 5.37879 | + | 0.794462i | 0.196144 | + | 0.0289710i | ||||
\(753\) | 11.8057 | 0.430225 | ||||||||
\(754\) | −0.256137 | − | 0.585891i | −0.00932797 | − | 0.0213369i | ||||
\(755\) | 4.81961 | − | 21.1161i | 0.175404 | − | 0.768493i | ||||
\(756\) | −0.834336 | + | 5.22531i | −0.0303445 | + | 0.190043i | ||||
\(757\) | 0.475181 | + | 2.08190i | 0.0172708 | + | 0.0756681i | 0.982829 | − | 0.184519i | \(-0.0590728\pi\) |
−0.965558 | + | 0.260187i | \(0.916216\pi\) | |||||||
\(758\) | 43.3427 | − | 32.0379i | 1.57428 | − | 1.16367i | ||||
\(759\) | 6.84102 | + | 8.57837i | 0.248313 | + | 0.311375i | ||||
\(760\) | 10.4524 | + | 29.6601i | 0.379149 | + | 1.07589i | ||||
\(761\) | −43.4291 | + | 9.91242i | −1.57430 | + | 0.359325i | −0.918442 | − | 0.395556i | \(-0.870552\pi\) |
−0.655863 | + | 0.754880i | \(0.727695\pi\) | |||||||
\(762\) | 3.70315 | − | 2.73728i | 0.134151 | − | 0.0991613i | ||||
\(763\) | 13.5551 | − | 22.9339i | 0.490727 | − | 0.830262i | ||||
\(764\) | 10.3514 | − | 7.07990i | 0.374500 | − | 0.256142i | ||||
\(765\) | −0.271086 | −0.00980115 | ||||||||
\(766\) | 10.5449 | − | 4.60997i | 0.381002 | − | 0.166565i | ||||
\(767\) | 0.501005 | + | 0.114351i | 0.0180903 | + | 0.00412898i | ||||
\(768\) | 13.1663 | − | 9.09115i | 0.475097 | − | 0.328049i | ||||
\(769\) | −6.72759 | + | 5.36508i | −0.242603 | + | 0.193470i | −0.737241 | − | 0.675629i | \(-0.763872\pi\) |
0.494638 | + | 0.869099i | \(0.335301\pi\) | |||||||
\(770\) | 6.94459 | + | 20.4665i | 0.250266 | + | 0.737563i | ||||
\(771\) | 20.5934 | + | 16.4227i | 0.741654 | + | 0.591450i | ||||
\(772\) | −21.8431 | − | 31.9364i | −0.786152 | − | 1.14942i | ||||
\(773\) | 24.8843 | + | 19.8446i | 0.895027 | + | 0.713760i | 0.958763 | − | 0.284206i | \(-0.0917301\pi\) |
−0.0637359 | + | 0.997967i | \(0.520302\pi\) | |||||||
\(774\) | −5.89439 | − | 5.06495i | −0.211869 | − | 0.182056i | ||||
\(775\) | 6.95061 | + | 8.71578i | 0.249673 | + | 0.313080i | ||||
\(776\) | −12.7841 | − | 12.7275i | −0.458922 | − | 0.456891i | ||||
\(777\) | 9.96298 | − | 16.8564i | 0.357420 | − | 0.604720i | ||||
\(778\) | 9.44199 | − | 10.9882i | 0.338512 | − | 0.393947i | ||||
\(779\) | −7.53298 | + | 15.6424i | −0.269897 | + | 0.560447i | ||||
\(780\) | −0.703129 | − | 0.404567i | −0.0251760 | − | 0.0144858i | ||||
\(781\) | −45.9017 | − | 22.1051i | −1.64249 | − | 0.790983i | ||||
\(782\) | −0.187960 | + | 0.703558i | −0.00672145 | + | 0.0251592i | ||||
\(783\) | 1.58776 | 0.0567421 | ||||||||
\(784\) | 20.1896 | + | 19.4005i | 0.721057 | + | 0.692876i | ||||
\(785\) | 0.0622095 | 0.00222035 | ||||||||
\(786\) | −5.80591 | + | 21.7322i | −0.207090 | + | 0.775162i | ||||
\(787\) | −0.956187 | − | 0.460475i | −0.0340844 | − | 0.0164142i | 0.416764 | − | 0.909015i | \(-0.363164\pi\) |
−0.450848 | + | 0.892601i | \(0.648878\pi\) | |||||||
\(788\) | −13.8078 | − | 7.94475i | −0.491883 | − | 0.283020i | ||||
\(789\) | 2.33463 | − | 4.84792i | 0.0831151 | − | 0.172590i | ||||
\(790\) | 12.2322 | − | 14.2354i | 0.435203 | − | 0.506472i | ||||
\(791\) | 37.5043 | + | 35.5186i | 1.33350 | + | 1.26290i | ||||
\(792\) | −8.12877 | − | 8.09279i | −0.288843 | − | 0.287565i | ||||
\(793\) | −1.22527 | − | 1.53644i | −0.0435106 | − | 0.0545606i | ||||
\(794\) | 15.1146 | + | 12.9878i | 0.536399 | + | 0.460918i | ||||
\(795\) | 13.8281 | + | 11.0275i | 0.490432 | + | 0.391106i | ||||
\(796\) | −19.5809 | − | 28.6289i | −0.694027 | − | 1.01472i | ||||
\(797\) | 39.0451 | + | 31.1374i | 1.38305 | + | 1.10294i | 0.982416 | + | 0.186703i | \(0.0597803\pi\) |
0.400630 | + | 0.916240i | \(0.368791\pi\) | |||||||
\(798\) | 15.7732 | − | 24.5828i | 0.558366 | − | 0.870221i | ||||
\(799\) | 0.202265 | − | 0.161301i | 0.00715563 | − | 0.00570643i | ||||
\(800\) | −13.5606 | − | 9.93096i | −0.479439 | − | 0.351112i | ||||
\(801\) | 8.97624 | + | 2.04877i | 0.317160 | + | 0.0723897i | ||||
\(802\) | 7.69926 | − | 3.36593i | 0.271870 | − | 0.118855i | ||||
\(803\) | −49.7299 | −1.75493 | ||||||||
\(804\) | 16.5722 | − | 11.3347i | 0.584456 | − | 0.399743i | ||||
\(805\) | −0.865736 | + | 10.1589i | −0.0305132 | + | 0.358053i | ||||
\(806\) | −1.21506 | + | 0.898146i | −0.0427988 | + | 0.0316359i | ||||
\(807\) | −18.0837 | + | 4.12748i | −0.636576 | + | 0.145294i | ||||
\(808\) | −11.1534 | − | 31.6493i | −0.392375 | − | 1.11342i | ||||
\(809\) | 22.1558 | + | 27.7825i | 0.778957 | + | 0.976782i | 0.999999 | + | 0.00151722i | \(0.000482947\pi\) |
−0.221041 | + | 0.975264i | \(0.570946\pi\) | |||||||
\(810\) | 1.61982 | − | 1.19733i | 0.0569147 | − | 0.0420700i | ||||
\(811\) | −8.35134 | − | 36.5896i | −0.293255 | − | 1.28483i | −0.879965 | − | 0.475038i | \(-0.842434\pi\) |
0.586710 | − | 0.809797i | \(-0.300423\pi\) | |||||||
\(812\) | 4.79328 | − | 6.90017i | 0.168211 | − | 0.242148i | ||||
\(813\) | 6.18676 | − | 27.1060i | 0.216979 | − | 0.950648i | ||||
\(814\) | 17.0021 | + | 38.8908i | 0.595924 | + | 1.36312i | ||||
\(815\) | 9.32938 | 0.326794 | ||||||||
\(816\) | 0.111240 | − | 0.753132i | 0.00389417 | − | 0.0263649i | ||||
\(817\) | 18.6126 | + | 38.6494i | 0.651171 | + | 1.35217i | ||||
\(818\) | 13.7008 | − | 25.9697i | 0.479039 | − | 0.908010i | ||||
\(819\) | 0.104677 | + | 0.746123i | 0.00365772 | + | 0.0260716i | ||||
\(820\) | 0.953551 | + | 6.26355i | 0.0332995 | + | 0.218733i | ||||
\(821\) | 7.07517 | − | 30.9983i | 0.246925 | − | 1.08185i | −0.687639 | − | 0.726053i | \(-0.741353\pi\) |
0.934564 | − | 0.355796i | \(-0.115790\pi\) | |||||||
\(822\) | −3.32674 | + | 12.4524i | −0.116033 | + | 0.434327i | ||||
\(823\) | 10.5264 | + | 21.8583i | 0.366927 | + | 0.761931i | 0.999925 | − | 0.0122217i | \(-0.00389037\pi\) |
−0.632999 | + | 0.774153i | \(0.718176\pi\) | |||||||
\(824\) | −28.3667 | + | 9.99662i | −0.988202 | + | 0.348249i | ||||
\(825\) | −5.22819 | + | 10.8565i | −0.182022 | + | 0.377973i | ||||
\(826\) | 2.16960 | + | 6.39406i | 0.0754899 | + | 0.222478i | ||||
\(827\) | 9.70366 | + | 20.1499i | 0.337429 | + | 0.700679i | 0.998779 | − | 0.0493983i | \(-0.0157304\pi\) |
−0.661350 | + | 0.750078i | \(0.730016\pi\) | |||||||
\(828\) | −1.98435 | − | 5.03415i | −0.0689610 | − | 0.174949i | ||||
\(829\) | 24.9598 | − | 5.69691i | 0.866890 | − | 0.197862i | 0.234125 | − | 0.972206i | \(-0.424777\pi\) |
0.632764 | + | 0.774344i | \(0.281920\pi\) | |||||||
\(830\) | −0.417263 | + | 11.3767i | −0.0144834 | + | 0.394890i | ||||
\(831\) | −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 | ||||
\(836\) | 23.2184 | + | 58.9033i | 0.803025 | + | 2.03721i | ||||
\(837\) | −0.834871 | − | 3.65781i | −0.0288574 | − | 0.126432i | ||||
\(838\) | −48.5414 | − | 1.78036i | −1.67683 | − | 0.0615014i | ||||
\(839\) | 18.3465 | − | 8.83520i | 0.633391 | − | 0.305025i | −0.0895005 | − | 0.995987i | \(-0.528527\pi\) |
0.722891 | + | 0.690962i | \(0.242813\pi\) | |||||||
\(840\) | −0.313356 | − | 10.6541i | −0.0108118 | − | 0.367601i | ||||
\(841\) | 23.8568 | + | 11.4888i | 0.822647 | + | 0.396166i | ||||
\(842\) | 30.5237 | + | 16.1034i | 1.05191 | + | 0.554959i | ||||
\(843\) | 16.5219 | − | 7.95652i | 0.569044 | − | 0.274037i | ||||
\(844\) | 42.4761 | − | 6.46649i | 1.46209 | − | 0.222586i | ||||
\(845\) | 17.9394 | + | 4.09456i | 0.617135 | + | 0.140857i | ||||
\(846\) | −0.496160 | + | 1.85719i | −0.0170583 | + | 0.0638514i | ||||
\(847\) | 5.12708 | + | 13.4664i | 0.176169 | + | 0.462712i | ||||
\(848\) | −36.3110 | + | 33.8920i | −1.24692 | + | 1.16386i | ||||
\(849\) | 7.64015 | − | 3.67930i | 0.262209 | − | 0.126273i | ||||
\(850\) | −0.785702 | + | 0.149265i | −0.0269494 | + | 0.00511974i | ||||
\(851\) | 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 | \(0.282124\pi\) | |||||||
\(854\) | 8.75867 | − | 24.2901i | 0.299715 | − | 0.831190i | ||||
\(855\) | −10.8398 | + | 2.47411i | −0.370713 | + | 0.0846128i | ||||
\(856\) | 0.762778 | − | 6.90750i | 0.0260712 | − | 0.236094i | ||||
\(857\) | 29.1997 | − | 23.2860i | 0.997444 | − | 0.795435i | 0.0185547 | − | 0.999828i | \(-0.494094\pi\) |
0.978889 | + | 0.204393i | \(0.0655221\pi\) | |||||||
\(858\) | −1.44451 | − | 0.762081i | −0.0493148 | − | 0.0260170i | ||||
\(859\) | −8.44817 | − | 37.0138i | −0.288248 | − | 1.26290i | −0.886928 | − | 0.461908i | \(-0.847165\pi\) |
0.598680 | − | 0.800988i | \(-0.295692\pi\) | |||||||
\(860\) | 13.5686 | + | 7.80712i | 0.462686 | + | 0.266221i | ||||
\(861\) | 4.04628 | − | 4.27249i | 0.137897 | − | 0.145606i | ||||
\(862\) | −42.0802 | + | 7.99424i | −1.43326 | + | 0.272285i | ||||
\(863\) | 31.5672i | 1.07456i | 0.843404 | + | 0.537280i | \(0.180548\pi\) | ||||
−0.843404 | + | 0.537280i | \(0.819452\pi\) | |||||||
\(864\) | 2.66174 | + | 4.99151i | 0.0905542 | + | 0.169815i | ||||
\(865\) | −3.41039 | + | 14.9419i | −0.115957 | + | 0.508040i | ||||
\(866\) | 28.6077 | + | 24.5821i | 0.972129 | + | 0.835334i | ||||
\(867\) | 10.5767 | + | 13.2628i | 0.359205 | + | 0.450429i | ||||
\(868\) | −18.4166 | − | 7.41431i | −0.625101 | − | 0.251658i | ||||
\(869\) | 23.5601 | − | 29.5434i | 0.799222 | − | 1.00219i | ||||
\(870\) | −3.14204 | + | 0.596913i | −0.106525 | + | 0.0202373i | ||||
\(871\) | 1.78240 | − | 2.23506i | 0.0603945 | − | 0.0757323i | ||||
\(872\) | −3.25146 | − | 28.2934i | −0.110108 | − | 0.958135i | ||||
\(873\) | 4.98646 | − | 3.97657i | 0.168766 | − | 0.134586i | ||||
\(874\) | −1.09475 | + | 29.8482i | −0.0370303 | + | 1.00963i | ||||
\(875\) | −28.0733 | + | 10.6883i | −0.949051 | + | 0.361332i | ||||
\(876\) | 23.4464 | + | 7.19430i | 0.792180 | + | 0.243073i | ||||
\(877\) | −4.85010 | − | 2.33569i | −0.163776 | − | 0.0788705i | 0.350200 | − | 0.936675i | \(-0.386114\pi\) |
−0.513976 | + | 0.857805i | \(0.671828\pi\) | |||||||
\(878\) | 13.2075 | + | 17.8678i | 0.445730 | + | 0.603009i | ||||
\(879\) | −3.40211 | + | 7.06456i | −0.114750 | + | 0.238282i | ||||
\(880\) | 19.1286 | + | 12.9589i | 0.644823 | + | 0.436846i | ||||
\(881\) | − | 49.1224i | − | 1.65497i | −0.561485 | − | 0.827487i | \(-0.689770\pi\) | ||
0.561485 | − | 0.827487i | \(-0.310230\pi\) | |||||||
\(882\) | −7.62922 | + | 6.30833i | −0.256889 | + | 0.212413i | ||||
\(883\) | 34.5314i | 1.16207i | 0.813877 | + | 0.581037i | \(0.197353\pi\) | ||||
−0.813877 | + | 0.581037i | \(0.802647\pi\) | |||||||
\(884\) | −0.0163143 | − | 0.107163i | −0.000548711 | − | 0.00360429i | ||||
\(885\) | 1.11522 | − | 2.31577i | 0.0374876 | − | 0.0778439i | ||||
\(886\) | −0.772620 | + | 0.571102i | −0.0259567 | + | 0.0191866i | ||||
\(887\) | 6.03264 | + | 2.90517i | 0.202556 | + | 0.0975460i | 0.532412 | − | 0.846485i | \(-0.321286\pi\) |
−0.329856 | + | 0.944031i | \(0.607000\pi\) | |||||||
\(888\) | −2.38983 | − | 20.7957i | −0.0801973 | − | 0.697856i | ||||
\(889\) | 8.58406 | + | 0.731531i | 0.287900 | + | 0.0245348i | ||||
\(890\) | −18.5334 | − | 0.679751i | −0.621241 | − | 0.0227853i | ||||
\(891\) | 3.17064 | − | 2.52850i | 0.106220 | − | 0.0847079i | ||||
\(892\) | −5.67878 | + | 18.5072i | −0.190139 | + | 0.619669i | ||||
\(893\) | 6.61573 | − | 8.29587i | 0.221387 | − | 0.277611i | ||||
\(894\) | 1.60148 | + | 8.42991i | 0.0535615 | + | 0.281938i | ||||
\(895\) | 15.4881 | − | 19.4215i | 0.517710 | − | 0.649188i | ||||
\(896\) | 29.7278 | + | 3.50132i | 0.993135 | + | 0.116971i | ||||
\(897\) | −0.480376 | − | 0.602372i | −0.0160393 | − | 0.0201126i | ||||
\(898\) | 9.66443 | − | 11.2471i | 0.322506 | − | 0.375320i | ||||
\(899\) | −1.32558 | + | 5.80774i | −0.0442105 | + | 0.193699i | ||||
\(900\) | 4.03553 | − | 4.36219i | 0.134518 | − | 0.145406i | ||||
\(901\) | 2.36339i | 0.0787360i | ||||||||
\(902\) | 2.38070 | + | 12.5316i | 0.0792685 | + | 0.417255i | ||||
\(903\) | −2.02001 | − | 14.3983i | −0.0672217 | − | 0.479145i | ||||
\(904\) | 54.8869 | + | 6.06102i | 1.82551 | + | 0.201587i | ||||
\(905\) | −2.35154 | − | 10.3028i | −0.0781677 | − | 0.342475i | ||||
\(906\) | −10.0347 | + | 19.0206i | −0.333381 | + | 0.631917i | ||||
\(907\) | 28.9877 | − | 23.1169i | 0.962520 | − | 0.767584i | −0.0101090 | − | 0.999949i | \(-0.503218\pi\) |
0.972629 | + | 0.232365i | \(0.0746464\pi\) | |||||||
\(908\) | −46.7557 | − | 26.9023i | −1.55164 | − | 0.892786i | ||||
\(909\) | 11.5667 | − | 2.64003i | 0.383645 | − | 0.0875644i | ||||
\(910\) | −0.487649 | − | 1.43716i | −0.0161654 | − | 0.0476413i | ||||
\(911\) | 24.0880 | + | 5.49794i | 0.798072 | + | 0.182155i | 0.602064 | − | 0.798448i | \(-0.294345\pi\) |
0.196008 | + | 0.980602i | \(0.437202\pi\) | |||||||
\(912\) | −2.42549 | − | 31.1303i | −0.0803160 | − | 1.03083i | ||||
\(913\) | 22.9200i | 0.758542i | ||||||||
\(914\) | 4.83012 | + | 25.4249i | 0.159766 | + | 0.840980i | ||||
\(915\) | −8.85582 | + | 4.26474i | −0.292764 | + | 0.140988i | ||||
\(916\) | 2.77154 | − | 37.7322i | 0.0915743 | − | 1.24671i | ||||
\(917\) | −35.0111 | + | 23.3499i | −1.15617 | + | 0.771081i | ||||
\(918\) | 0.260041 | + | 0.0694718i | 0.00858264 | + | 0.00229291i | ||||
\(919\) | −2.44672 | − | 0.558449i | −0.0807100 | − | 0.0184215i | 0.181975 | − | 0.983303i | \(-0.441751\pi\) |
−0.262685 | + | 0.964882i | \(0.584608\pi\) | |||||||
\(920\) | 5.81942 | + | 9.21612i | 0.191861 | + | 0.303847i | ||||
\(921\) | −8.24179 | + | 3.96904i | −0.271576 | + | 0.130784i | ||||
\(922\) | 16.6065 | − | 31.4774i | 0.546907 | − | 1.03665i | ||||
\(923\) | 3.22322 | + | 1.55222i | 0.106093 | + | 0.0510919i | ||||
\(924\) | −1.41665 | − | 21.4123i | −0.0466042 | − | 0.704414i | ||||
\(925\) | −19.8121 | + | 9.54101i | −0.651418 | + | 0.313707i | ||||
\(926\) | 1.06703 | − | 29.0924i | 0.0350646 | − | 0.956037i | ||||
\(927\) | −2.36622 | − | 10.3671i | −0.0777169 | − | 0.340500i | ||||
\(928\) | −0.369013 | − | 8.97417i | −0.0121134 | − | 0.294592i | ||||
\(929\) | −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 | ||||
\(934\) | 2.97621 | + | 0.109159i | 0.0973846 | + | 0.00357178i | ||||
\(935\) | 1.07180 | − | 0.244631i | 0.0350516 | − | 0.00800030i | ||||
\(936\) | 0.570801 | + | 0.568275i | 0.0186572 | + | 0.0185746i | ||||
\(937\) | −10.5806 | − | 21.9709i | −0.345654 | − | 0.717759i | 0.653581 | − | 0.756857i | \(-0.273266\pi\) |
−0.999235 | + | 0.0390979i | \(0.987552\pi\) | |||||||
\(938\) | 37.2842 | + | 4.55907i | 1.21737 | + | 0.148859i | ||||
\(939\) | 12.7750 | − | 26.5275i | 0.416896 | − | 0.865694i | ||||
\(940\) | 0.283656 | − | 3.86174i | 0.00925183 | − | 0.125956i | ||||
\(941\) | 3.15781 | + | 6.55727i | 0.102942 | + | 0.213761i | 0.946078 | − | 0.323940i | \(-0.105007\pi\) |
−0.843136 | + | 0.537700i | \(0.819293\pi\) | |||||||
\(942\) | −0.0596748 | − | 0.0159425i | −0.00194431 | − | 0.000519436i | ||||
\(943\) | −1.33901 | + | 5.86659i | −0.0436042 | + | 0.191042i | ||||
\(944\) | 5.97605 | + | 4.04857i | 0.194504 | + | 0.131770i | ||||
\(945\) | 3.75481 | + | 0.319984i | 0.122144 | + | 0.0104091i | ||||
\(946\) | 27.8754 | + | 14.7062i | 0.906309 | + | 0.478141i | ||||
\(947\) | 0.727197 | + | 1.51004i | 0.0236307 | + | 0.0490697i | 0.912450 | − | 0.409188i | \(-0.134188\pi\) |
−0.888819 | + | 0.458258i | \(0.848474\pi\) | |||||||
\(948\) | −15.3820 | + | 10.5206i | −0.499583 | + | 0.341693i | ||||
\(949\) | 3.49203 | 0.113356 | ||||||||
\(950\) | −30.0552 | + | 13.1394i | −0.975118 | + | 0.426298i | ||||
\(951\) | 0.375333 | − | 1.64444i | 0.0121710 | − | 0.0533247i | ||||
\(952\) | 1.08695 | − | 0.920369i | 0.0352282 | − | 0.0298293i | ||||
\(953\) | 2.23741 | + | 9.80271i | 0.0724767 | + | 0.317541i | 0.998151 | − | 0.0607798i | \(-0.0193587\pi\) |
−0.925675 | + | 0.378321i | \(0.876502\pi\) | |||||||
\(954\) | −10.4386 | − | 14.1220i | −0.337963 | − | 0.457216i | ||||
\(955\) | −5.56854 | − | 6.98273i | −0.180194 | − | 0.225956i | ||||
\(956\) | −1.66599 | + | 22.6811i | −0.0538820 | + | 0.733558i | ||||
\(957\) | −6.27758 | + | 1.43282i | −0.202925 | + | 0.0463164i | ||||
\(958\) | −15.2380 | − | 20.6148i | −0.492317 | − | 0.666035i | ||||
\(959\) | −20.0610 | + | 13.3793i | −0.647805 | + | 0.432040i | ||||
\(960\) | −7.14388 | − | 8.87708i | −0.230568 | − | 0.286507i | ||||
\(961\) | −16.9234 | −0.545917 | ||||||||
\(962\) | −1.19389 | − | 2.73091i | −0.0384925 | − | 0.0880480i | ||||
\(963\) | 2.39541 | + | 0.546738i | 0.0771911 | + | 0.0176184i | ||||
\(964\) | 3.66458 | + | 1.12444i | 0.118028 | + | 0.0362158i | ||||
\(965\) | −21.5433 | + | 17.1802i | −0.693504 | + | 0.553051i | ||||
\(966\) | 3.43390 | − | 9.52310i | 0.110484 | − | 0.306401i | ||||
\(967\) | −23.8925 | − | 19.0536i | −0.768330 | − | 0.612723i | 0.158866 | − | 0.987300i | \(-0.449216\pi\) |
−0.927196 | + | 0.374578i | \(0.877788\pi\) | |||||||
\(968\) | 13.0614 | + | 8.16666i | 0.419808 | + | 0.262486i | ||||
\(969\) | −1.16158 | − | 0.926327i | −0.0373153 | − | 0.0297579i | ||||
\(970\) | −8.37278 | + | 9.74391i | −0.268834 | + | 0.312858i | ||||
\(971\) | −22.1482 | − | 27.7730i | −0.710770 | − | 0.891277i | 0.287006 | − | 0.957929i | \(-0.407340\pi\) |
−0.997776 | + | 0.0666514i | \(0.978768\pi\) | |||||||
\(972\) | −1.86067 | + | 0.733434i | −0.0596809 | + | 0.0235249i | ||||
\(973\) | −44.8523 | − | 14.3384i | −1.43790 | − | 0.459669i | ||||
\(974\) | 9.52561 | + | 8.18520i | 0.305220 | + | 0.262271i | ||||
\(975\) | 0.367123 | − | 0.762339i | 0.0117574 | − | 0.0244144i | ||||
\(976\) | −8.21432 | − | 26.3532i | −0.262934 | − | 0.843547i | ||||
\(977\) | 7.28286 | + | 3.50724i | 0.232999 | + | 0.112207i | 0.546741 | − | 0.837302i | \(-0.315868\pi\) |
−0.313742 | + | 0.949508i | \(0.601583\pi\) | |||||||
\(978\) | −8.94926 | − | 2.39086i | −0.286166 | − | 0.0764512i | ||||
\(979\) | −37.3384 | −1.19334 | ||||||||
\(980\) | 12.7260 | − | 15.3518i | 0.406516 | − | 0.490395i | ||||
\(981\) | 10.0691 | 0.321480 | ||||||||
\(982\) | 39.2857 | + | 10.4954i | 1.25366 | + | 0.334923i | ||||
\(983\) | −49.1980 | − | 23.6925i | −1.56917 | − | 0.755673i | −0.571291 | − | 0.820747i | \(-0.693557\pi\) |
−0.997880 | + | 0.0650739i | \(0.979272\pi\) | |||||||
\(984\) | 0.690471 | − | 6.25271i | 0.0220114 | − | 0.199329i | ||||
\(985\) | −4.92241 | + | 10.2215i | −0.156841 | + | 0.325684i | ||||
\(986\) | −0.324136 | − | 0.278525i | −0.0103226 | − | 0.00887004i | ||||
\(987\) | −2.99197 | + | 1.99543i | −0.0952354 | + | 0.0635152i | ||||
\(988\) | −1.63039 | − | 4.13618i | −0.0518698 | − | 0.131590i | ||||
\(989\) | 9.27005 | + | 11.6243i | 0.294770 | + | 0.369630i | ||||
\(990\) | −5.32383 | + | 6.19566i | −0.169203 | + | 0.196911i | ||||
\(991\) | 19.2895 | + | 15.3829i | 0.612751 | + | 0.488652i | 0.879999 | − | 0.474975i | \(-0.157543\pi\) |
−0.267248 | + | 0.963628i | \(0.586114\pi\) | |||||||
\(992\) | −20.4802 | + | 5.56887i | −0.650247 | + | 0.176812i | ||||
\(993\) | 16.8357 | + | 13.4260i | 0.534265 | + | 0.426062i | ||||
\(994\) | 4.82014 | + | 46.7578i | 0.152886 | + | 1.48307i | ||||
\(995\) | −19.3122 | + | 15.4009i | −0.612237 | + | 0.488242i | ||||
\(996\) | 3.31578 | − | 10.8062i | 0.105065 | − | 0.342407i | ||||
\(997\) | −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.a.55.12 | ✓ | 168 | |
4.3 | odd | 2 | 588.2.x.b.55.5 | yes | 168 | ||
49.41 | odd | 14 | 588.2.x.b.139.5 | yes | 168 | ||
196.139 | even | 14 | inner | 588.2.x.a.139.12 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.x.a.55.12 | ✓ | 168 | 1.1 | even | 1 | trivial | |
588.2.x.a.139.12 | yes | 168 | 196.139 | even | 14 | inner | |
588.2.x.b.55.5 | yes | 168 | 4.3 | odd | 2 | ||
588.2.x.b.139.5 | yes | 168 | 49.41 | odd | 14 |