Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(7,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 42, 55]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bs (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 28.12 | ||
Character | \(\chi\) | \(=\) | 429.28 |
Dual form | 429.2.bs.a.46.12 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{9}{10}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.26204 | − | 0.118548i | 1.59950 | − | 0.0838263i | 0.768408 | − | 0.639960i | \(-0.221049\pi\) |
0.831093 | + | 0.556134i | \(0.187716\pi\) | |||||||
\(3\) | 0.104528 | − | 0.994522i | 0.0603495 | − | 0.574187i | ||||
\(4\) | 3.11371 | − | 0.327264i | 1.55685 | − | 0.163632i | ||||
\(5\) | −1.01005 | − | 1.98233i | −0.451707 | − | 0.886525i | −0.998777 | − | 0.0494384i | \(-0.984257\pi\) |
0.547070 | − | 0.837087i | \(-0.315743\pi\) | |||||||
\(6\) | 0.118548 | − | 2.26204i | 0.0483971 | − | 0.923472i | ||||
\(7\) | −1.72160 | − | 1.39413i | −0.650705 | − | 0.526931i | 0.246163 | − | 0.969228i | \(-0.420830\pi\) |
−0.896868 | + | 0.442298i | \(0.854163\pi\) | |||||||
\(8\) | 2.53001 | − | 0.400715i | 0.894495 | − | 0.141674i | ||||
\(9\) | −0.978148 | − | 0.207912i | −0.326049 | − | 0.0693039i | ||||
\(10\) | −2.51977 | − | 4.36436i | −0.796820 | − | 1.38013i | ||||
\(11\) | 3.29281 | + | 0.396702i | 0.992821 | + | 0.119610i | ||||
\(12\) | − | 3.13086i | − | 0.903801i | ||||||
\(13\) | 3.48074 | + | 0.940440i | 0.965384 | + | 0.260831i | ||||
\(14\) | −4.05960 | − | 2.94947i | −1.08497 | − | 0.788280i | ||||
\(15\) | −2.07705 | + | 0.797305i | −0.536292 | + | 0.205863i | ||||
\(16\) | −0.449404 | + | 0.0955238i | −0.112351 | + | 0.0238809i | ||||
\(17\) | 1.66265 | + | 1.84656i | 0.403252 | + | 0.447857i | 0.910231 | − | 0.414102i | \(-0.135904\pi\) |
−0.506978 | + | 0.861959i | \(0.669238\pi\) | |||||||
\(18\) | −2.23725 | − | 0.354346i | −0.527325 | − | 0.0835201i | ||||
\(19\) | −0.665914 | − | 0.255621i | −0.152771 | − | 0.0586434i | 0.280781 | − | 0.959772i | \(-0.409407\pi\) |
−0.433552 | + | 0.901129i | \(0.642740\pi\) | |||||||
\(20\) | −3.79374 | − | 5.84185i | −0.848306 | − | 1.30628i | ||||
\(21\) | −1.56645 | + | 1.56645i | −0.341827 | + | 0.341827i | ||||
\(22\) | 7.49549 | + | 0.506997i | 1.59804 | + | 0.108092i | ||||
\(23\) | −1.06290 | + | 0.613668i | −0.221631 | + | 0.127959i | −0.606705 | − | 0.794927i | \(-0.707509\pi\) |
0.385074 | + | 0.922886i | \(0.374176\pi\) | |||||||
\(24\) | −0.134061 | − | 2.55804i | −0.0273651 | − | 0.522158i | ||||
\(25\) | 0.0294875 | − | 0.0405861i | 0.00589750 | − | 0.00811722i | ||||
\(26\) | 7.98505 | + | 1.71467i | 1.56600 | + | 0.336275i | ||||
\(27\) | −0.309017 | + | 0.951057i | −0.0594703 | + | 0.183031i | ||||
\(28\) | −5.81682 | − | 3.77749i | −1.09928 | − | 0.713878i | ||||
\(29\) | −1.60872 | + | 3.61325i | −0.298732 | + | 0.670964i | −0.999082 | − | 0.0428360i | \(-0.986361\pi\) |
0.700350 | + | 0.713800i | \(0.253027\pi\) | |||||||
\(30\) | −4.60384 | + | 2.04976i | −0.840543 | + | 0.374234i | ||||
\(31\) | 7.14147 | + | 3.63876i | 1.28265 | + | 0.653540i | 0.956487 | − | 0.291775i | \(-0.0942458\pi\) |
0.326158 | + | 0.945315i | \(0.394246\pi\) | |||||||
\(32\) | −5.95378 | + | 1.59531i | −1.05249 | + | 0.282014i | ||||
\(33\) | 0.738722 | − | 3.23331i | 0.128595 | − | 0.562847i | ||||
\(34\) | 3.97988 | + | 3.97988i | 0.682544 | + | 0.682544i | ||||
\(35\) | −1.02472 | + | 4.82093i | −0.173209 | + | 0.814885i | ||||
\(36\) | −3.11371 | − | 0.327264i | −0.518951 | − | 0.0545440i | ||||
\(37\) | 2.21249 | + | 5.76372i | 0.363731 | + | 0.947550i | 0.986296 | + | 0.164983i | \(0.0527569\pi\) |
−0.622566 | + | 0.782567i | \(0.713910\pi\) | |||||||
\(38\) | −1.53663 | − | 0.499280i | −0.249274 | − | 0.0809939i | ||||
\(39\) | 1.29912 | − | 3.36337i | 0.208026 | − | 0.538571i | ||||
\(40\) | −3.34979 | − | 4.61058i | −0.529648 | − | 0.728997i | ||||
\(41\) | −6.14599 | + | 4.97693i | −0.959843 | + | 0.777266i | −0.974905 | − | 0.222621i | \(-0.928539\pi\) |
0.0150621 | + | 0.999887i | \(0.495205\pi\) | |||||||
\(42\) | −3.35766 | + | 3.72906i | −0.518098 | + | 0.575406i | ||||
\(43\) | −1.74592 | + | 3.02403i | −0.266251 | + | 0.461160i | −0.967891 | − | 0.251372i | \(-0.919118\pi\) |
0.701640 | + | 0.712532i | \(0.252452\pi\) | |||||||
\(44\) | 10.3827 | + | 0.157595i | 1.56525 | + | 0.0237583i | ||||
\(45\) | 0.575826 | + | 2.14901i | 0.0858391 | + | 0.320356i | ||||
\(46\) | −2.33158 | + | 1.51415i | −0.343773 | + | 0.223249i | ||||
\(47\) | −0.669553 | − | 4.22739i | −0.0976644 | − | 0.616629i | −0.987166 | − | 0.159697i | \(-0.948948\pi\) |
0.889502 | − | 0.456932i | \(-0.151052\pi\) | |||||||
\(48\) | 0.0480250 | + | 0.456927i | 0.00693181 | + | 0.0659517i | ||||
\(49\) | −0.435052 | − | 2.04676i | −0.0621503 | − | 0.292394i | ||||
\(50\) | 0.0618904 | − | 0.0953028i | 0.00875262 | − | 0.0134779i | ||||
\(51\) | 2.01024 | − | 1.46052i | 0.281490 | − | 0.204514i | ||||
\(52\) | 11.1458 | + | 1.78913i | 1.54564 | + | 0.248108i | ||||
\(53\) | 0.774656 | + | 2.38415i | 0.106407 | + | 0.327488i | 0.990058 | − | 0.140659i | \(-0.0449220\pi\) |
−0.883651 | + | 0.468146i | \(0.844922\pi\) | |||||||
\(54\) | −0.586261 | + | 2.18796i | −0.0797801 | + | 0.297743i | ||||
\(55\) | −2.53951 | − | 6.92814i | −0.342427 | − | 0.934190i | ||||
\(56\) | −4.91433 | − | 2.83729i | −0.656705 | − | 0.379149i | ||||
\(57\) | −0.323827 | + | 0.635547i | −0.0428920 | + | 0.0841802i | ||||
\(58\) | −3.21064 | + | 8.36401i | −0.421578 | + | 1.09825i | ||||
\(59\) | 5.74856 | − | 7.09889i | 0.748399 | − | 0.924196i | −0.250637 | − | 0.968081i | \(-0.580640\pi\) |
0.999037 | + | 0.0438848i | \(0.0139735\pi\) | |||||||
\(60\) | −6.20640 | + | 3.16232i | −0.801242 | + | 0.408253i | ||||
\(61\) | 5.39863 | − | 4.86095i | 0.691223 | − | 0.622380i | −0.246753 | − | 0.969078i | \(-0.579364\pi\) |
0.937977 | + | 0.346698i | \(0.112697\pi\) | |||||||
\(62\) | 16.5856 | + | 7.38439i | 2.10638 | + | 0.937819i | ||||
\(63\) | 1.39413 | + | 1.72160i | 0.175644 | + | 0.216902i | ||||
\(64\) | −12.4046 | + | 4.03051i | −1.55058 | + | 0.503814i | ||||
\(65\) | −1.65146 | − | 7.84987i | −0.204838 | − | 0.973657i | ||||
\(66\) | 1.28771 | − | 7.40143i | 0.158506 | − | 0.911054i | ||||
\(67\) | −7.50001 | − | 2.00962i | −0.916272 | − | 0.245514i | −0.230281 | − | 0.973124i | \(-0.573964\pi\) |
−0.685991 | + | 0.727610i | \(0.740631\pi\) | |||||||
\(68\) | 5.78132 | + | 5.20553i | 0.701088 | + | 0.631263i | ||||
\(69\) | 0.499203 | + | 1.12123i | 0.0600970 | + | 0.134980i | ||||
\(70\) | −1.74644 | + | 11.0266i | −0.208739 | + | 1.31793i | ||||
\(71\) | −11.5855 | − | 0.607170i | −1.37494 | − | 0.0720578i | −0.649512 | − | 0.760351i | \(-0.725027\pi\) |
−0.725432 | + | 0.688293i | \(0.758360\pi\) | |||||||
\(72\) | −2.55804 | − | 0.134061i | −0.301468 | − | 0.0157993i | ||||
\(73\) | 0.0602317 | − | 0.380288i | 0.00704959 | − | 0.0445094i | −0.983913 | − | 0.178649i | \(-0.942827\pi\) |
0.990962 | + | 0.134140i | \(0.0428272\pi\) | |||||||
\(74\) | 5.68800 | + | 12.7755i | 0.661217 | + | 1.48512i | ||||
\(75\) | −0.0372815 | − | 0.0335684i | −0.00430489 | − | 0.00387614i | ||||
\(76\) | −2.15712 | − | 0.577998i | −0.247438 | − | 0.0663009i | ||||
\(77\) | −5.11587 | − | 5.27357i | −0.583008 | − | 0.600979i | ||||
\(78\) | 2.53994 | − | 7.76208i | 0.287592 | − | 0.878882i | ||||
\(79\) | −1.58327 | + | 0.514436i | −0.178132 | + | 0.0578786i | −0.396725 | − | 0.917938i | \(-0.629853\pi\) |
0.218593 | + | 0.975816i | \(0.429853\pi\) | |||||||
\(80\) | 0.643279 | + | 0.794384i | 0.0719208 | + | 0.0888148i | ||||
\(81\) | 0.913545 | + | 0.406737i | 0.101505 | + | 0.0451930i | ||||
\(82\) | −13.3124 | + | 11.9866i | −1.47011 | + | 1.32370i | ||||
\(83\) | 6.16871 | − | 3.14312i | 0.677104 | − | 0.345002i | −0.0813893 | − | 0.996682i | \(-0.525936\pi\) |
0.758494 | + | 0.651681i | \(0.225936\pi\) | |||||||
\(84\) | −4.36482 | + | 5.39010i | −0.476241 | + | 0.588108i | ||||
\(85\) | 1.98114 | − | 5.16104i | 0.214885 | − | 0.559793i | ||||
\(86\) | −3.59085 | + | 7.04744i | −0.387211 | + | 0.759945i | ||||
\(87\) | 3.42530 | + | 1.97760i | 0.367231 | + | 0.212021i | ||||
\(88\) | 8.48983 | − | 0.315818i | 0.905019 | − | 0.0336663i | ||||
\(89\) | 2.57607 | − | 9.61404i | 0.273063 | − | 1.01909i | −0.684065 | − | 0.729421i | \(-0.739789\pi\) |
0.957128 | − | 0.289665i | \(-0.0935439\pi\) | |||||||
\(90\) | 1.55730 | + | 4.79288i | 0.164154 | + | 0.505214i | ||||
\(91\) | −4.68137 | − | 6.47167i | −0.490741 | − | 0.678415i | ||||
\(92\) | −3.10874 | + | 2.25863i | −0.324109 | + | 0.235479i | ||||
\(93\) | 4.36531 | − | 6.72199i | 0.452662 | − | 0.697038i | ||||
\(94\) | −2.01570 | − | 9.48314i | −0.207904 | − | 0.978111i | ||||
\(95\) | 0.165881 | + | 1.57825i | 0.0170190 | + | 0.161925i | ||||
\(96\) | 0.964232 | + | 6.08792i | 0.0984115 | + | 0.621346i | ||||
\(97\) | 2.91806 | − | 1.89501i | 0.296284 | − | 0.192409i | −0.387933 | − | 0.921688i | \(-0.626811\pi\) |
0.684217 | + | 0.729278i | \(0.260144\pi\) | |||||||
\(98\) | −1.22674 | − | 4.57827i | −0.123920 | − | 0.462475i | ||||
\(99\) | −3.13838 | − | 1.07265i | −0.315419 | − | 0.107805i | ||||
\(100\) | 0.0785331 | − | 0.136023i | 0.00785331 | − | 0.0136023i | ||||
\(101\) | −12.8385 | + | 14.2586i | −1.27748 | + | 1.41878i | −0.417320 | + | 0.908759i | \(0.637031\pi\) |
−0.860159 | + | 0.510025i | \(0.829636\pi\) | |||||||
\(102\) | 4.37409 | − | 3.54207i | 0.433100 | − | 0.350717i | ||||
\(103\) | 9.63932 | + | 13.2674i | 0.949791 | + | 1.30727i | 0.951620 | + | 0.307276i | \(0.0994176\pi\) |
−0.00182963 | + | 0.999998i | \(0.500582\pi\) | |||||||
\(104\) | 9.18318 | + | 0.984540i | 0.900485 | + | 0.0965421i | ||||
\(105\) | 4.68740 | + | 1.52303i | 0.457444 | + | 0.148633i | ||||
\(106\) | 2.03494 | + | 5.30119i | 0.197650 | + | 0.514897i | ||||
\(107\) | −7.40859 | − | 0.778674i | −0.716215 | − | 0.0752773i | −0.260591 | − | 0.965449i | \(-0.583917\pi\) |
−0.455624 | + | 0.890172i | \(0.650584\pi\) | |||||||
\(108\) | −0.650942 | + | 3.06244i | −0.0626369 | + | 0.294684i | ||||
\(109\) | 8.07333 | + | 8.07333i | 0.773285 | + | 0.773285i | 0.978679 | − | 0.205395i | \(-0.0658478\pi\) |
−0.205395 | + | 0.978679i | \(0.565848\pi\) | |||||||
\(110\) | −6.56577 | − | 15.3706i | −0.626022 | − | 1.46553i | ||||
\(111\) | 5.96342 | − | 1.59789i | 0.566023 | − | 0.151665i | ||||
\(112\) | 0.906868 | + | 0.462072i | 0.0856910 | + | 0.0436617i | ||||
\(113\) | −17.5953 | + | 7.83394i | −1.65523 | + | 0.736955i | −0.999832 | − | 0.0183298i | \(-0.994165\pi\) |
−0.655396 | + | 0.755285i | \(0.727498\pi\) | |||||||
\(114\) | −0.657166 | + | 1.47602i | −0.0615492 | + | 0.138242i | ||||
\(115\) | 2.29008 | + | 1.48719i | 0.213551 | + | 0.138682i | ||||
\(116\) | −3.82661 | + | 11.7771i | −0.355291 | + | 1.09347i | ||||
\(117\) | −3.20915 | − | 1.64358i | −0.296686 | − | 0.151949i | ||||
\(118\) | 12.1619 | − | 16.7394i | 1.11959 | − | 1.54099i | ||||
\(119\) | −0.288085 | − | 5.49700i | −0.0264087 | − | 0.503909i | ||||
\(120\) | −4.93548 | + | 2.84950i | −0.450545 | + | 0.260122i | ||||
\(121\) | 10.6853 | + | 2.61253i | 0.971387 | + | 0.237503i | ||||
\(122\) | 11.6356 | − | 11.6356i | 1.05344 | − | 1.05344i | ||||
\(123\) | 4.30723 | + | 6.63256i | 0.388370 | + | 0.598037i | ||||
\(124\) | 23.4273 | + | 8.99289i | 2.10383 | + | 0.807585i | ||||
\(125\) | −11.0974 | − | 1.75765i | −0.992581 | − | 0.157209i | ||||
\(126\) | 3.35766 | + | 3.72906i | 0.299124 | + | 0.332211i | ||||
\(127\) | −10.0684 | + | 2.14010i | −0.893424 | + | 0.189903i | −0.631676 | − | 0.775233i | \(-0.717632\pi\) |
−0.261749 | + | 0.965136i | \(0.584299\pi\) | |||||||
\(128\) | −16.0731 | + | 6.16988i | −1.42067 | + | 0.545345i | ||||
\(129\) | 2.82497 | + | 2.05246i | 0.248724 | + | 0.180709i | ||||
\(130\) | −4.66624 | − | 17.5609i | −0.409256 | − | 1.54019i | ||||
\(131\) | − | 13.8056i | − | 1.20620i | −0.797664 | − | 0.603102i | \(-0.793931\pi\) | ||
0.797664 | − | 0.603102i | \(-0.206069\pi\) | |||||||
\(132\) | 1.24202 | − | 10.3093i | 0.108104 | − | 0.897312i | ||||
\(133\) | 0.790074 | + | 1.36845i | 0.0685081 | + | 0.118659i | ||||
\(134\) | −17.2035 | − | 3.65672i | −1.48616 | − | 0.315893i | ||||
\(135\) | 2.19743 | − | 0.348039i | 0.189125 | − | 0.0299544i | ||||
\(136\) | 4.94648 | + | 4.00558i | 0.424157 | + | 0.343475i | ||||
\(137\) | 1.00089 | − | 19.0982i | 0.0855121 | − | 1.63167i | −0.533156 | − | 0.846017i | \(-0.678994\pi\) |
0.618668 | − | 0.785652i | \(-0.287672\pi\) | |||||||
\(138\) | 1.26213 | + | 2.47708i | 0.107440 | + | 0.210863i | ||||
\(139\) | −1.46699 | + | 0.154187i | −0.124428 | + | 0.0130780i | −0.166538 | − | 0.986035i | \(-0.553259\pi\) |
0.0421095 | + | 0.999113i | \(0.486592\pi\) | |||||||
\(140\) | −1.61296 | + | 15.3463i | −0.136320 | + | 1.29700i | ||||
\(141\) | −4.27422 | + | 0.224002i | −0.359954 | + | 0.0188644i | ||||
\(142\) | −26.2788 | −2.20526 | ||||||||
\(143\) | 11.0884 | + | 4.47751i | 0.927256 | + | 0.374428i | ||||
\(144\) | 0.459444 | 0.0382870 | ||||||||
\(145\) | 8.78755 | − | 0.460536i | 0.729766 | − | 0.0382454i | ||||
\(146\) | 0.0911638 | − | 0.867366i | 0.00754477 | − | 0.0717837i | ||||
\(147\) | −2.08102 | + | 0.218724i | −0.171640 | + | 0.0180401i | ||||
\(148\) | 8.77529 | + | 17.2225i | 0.721325 | + | 1.41568i | ||||
\(149\) | −0.389795 | + | 7.43772i | −0.0319332 | + | 0.609322i | 0.935055 | + | 0.354502i | \(0.115350\pi\) |
−0.966988 | + | 0.254820i | \(0.917984\pi\) | |||||||
\(150\) | −0.0883115 | − | 0.0715132i | −0.00721060 | − | 0.00583903i | ||||
\(151\) | 18.8219 | − | 2.98109i | 1.53170 | − | 0.242598i | 0.667066 | − | 0.744998i | \(-0.267550\pi\) |
0.864635 | + | 0.502401i | \(0.167550\pi\) | |||||||
\(152\) | −1.78720 | − | 0.379882i | −0.144961 | − | 0.0308125i | ||||
\(153\) | −1.24240 | − | 2.15189i | −0.100442 | − | 0.173970i | ||||
\(154\) | −12.1975 | − | 11.3225i | −0.982899 | − | 0.912395i | ||||
\(155\) | − | 17.8321i | − | 1.43231i | ||||||
\(156\) | 2.94438 | − | 10.8977i | 0.235739 | − | 0.872515i | ||||
\(157\) | −5.75375 | − | 4.18035i | −0.459200 | − | 0.333628i | 0.334018 | − | 0.942567i | \(-0.391596\pi\) |
−0.793217 | + | 0.608939i | \(0.791596\pi\) | |||||||
\(158\) | −3.52043 | + | 1.35137i | −0.280070 | + | 0.107509i | ||||
\(159\) | 2.45206 | − | 0.521201i | 0.194461 | − | 0.0413340i | ||||
\(160\) | 9.17604 | + | 10.1910i | 0.725430 | + | 0.805671i | ||||
\(161\) | 2.68543 | + | 0.425331i | 0.211642 | + | 0.0335208i | ||||
\(162\) | 2.11469 | + | 0.811753i | 0.166146 | + | 0.0637774i | ||||
\(163\) | −8.87754 | − | 13.6702i | −0.695342 | − | 1.07073i | −0.993234 | − | 0.116134i | \(-0.962950\pi\) |
0.297891 | − | 0.954600i | \(-0.403717\pi\) | |||||||
\(164\) | −17.5081 | + | 17.5081i | −1.36715 | + | 1.36715i | ||||
\(165\) | −7.15563 | + | 1.80141i | −0.557065 | + | 0.140239i | ||||
\(166\) | 13.5812 | − | 7.84113i | 1.05411 | − | 0.608590i | ||||
\(167\) | −1.08391 | − | 20.6823i | −0.0838758 | − | 1.60045i | −0.639352 | − | 0.768914i | \(-0.720797\pi\) |
0.555476 | − | 0.831532i | \(-0.312536\pi\) | |||||||
\(168\) | −3.33544 | + | 4.59083i | −0.257334 | + | 0.354191i | ||||
\(169\) | 11.2311 | + | 6.54686i | 0.863934 | + | 0.503604i | ||||
\(170\) | 3.86957 | − | 11.9093i | 0.296783 | − | 0.913403i | ||||
\(171\) | 0.598216 | + | 0.388486i | 0.0457467 | + | 0.0297083i | ||||
\(172\) | −4.44664 | + | 9.98732i | −0.339053 | + | 0.761526i | ||||
\(173\) | −6.22558 | + | 2.77181i | −0.473322 | + | 0.210736i | −0.629512 | − | 0.776990i | \(-0.716745\pi\) |
0.156190 | + | 0.987727i | \(0.450079\pi\) | |||||||
\(174\) | 7.98259 | + | 4.06733i | 0.605159 | + | 0.308344i | ||||
\(175\) | −0.107348 | + | 0.0287638i | −0.00811475 | + | 0.00217434i | ||||
\(176\) | −1.51770 | + | 0.136263i | −0.114401 | + | 0.0102712i | ||||
\(177\) | −6.45911 | − | 6.45911i | −0.485496 | − | 0.485496i | ||||
\(178\) | 4.68744 | − | 22.0527i | 0.351339 | − | 1.65292i | ||||
\(179\) | −14.0847 | − | 1.48036i | −1.05274 | − | 0.110648i | −0.437683 | − | 0.899129i | \(-0.644201\pi\) |
−0.615058 | + | 0.788482i | \(0.710867\pi\) | |||||||
\(180\) | 2.49625 | + | 6.50295i | 0.186059 | + | 0.484701i | ||||
\(181\) | 25.0843 | + | 8.15038i | 1.86450 | + | 0.605813i | 0.993399 | + | 0.114712i | \(0.0365944\pi\) |
0.871102 | + | 0.491102i | \(0.163406\pi\) | |||||||
\(182\) | −11.3566 | − | 14.0842i | −0.841809 | − | 1.04399i | ||||
\(183\) | −4.27001 | − | 5.87716i | −0.315648 | − | 0.434452i | ||||
\(184\) | −2.44326 | + | 1.97851i | −0.180119 | + | 0.145858i | ||||
\(185\) | 9.19089 | − | 10.2075i | 0.675728 | − | 0.750472i | ||||
\(186\) | 9.07761 | − | 15.7229i | 0.665603 | − | 1.15286i | ||||
\(187\) | 4.74227 | + | 6.73996i | 0.346789 | + | 0.492875i | ||||
\(188\) | −3.46826 | − | 12.9437i | −0.252949 | − | 0.944019i | ||||
\(189\) | 1.85790 | − | 1.20653i | 0.135142 | − | 0.0877624i | ||||
\(190\) | 0.562328 | + | 3.55040i | 0.0407955 | + | 0.257573i | ||||
\(191\) | 0.714663 | + | 6.79956i | 0.0517112 | + | 0.491999i | 0.989473 | + | 0.144719i | \(0.0462279\pi\) |
−0.937762 | + | 0.347280i | \(0.887105\pi\) | |||||||
\(192\) | 2.71179 | + | 12.7580i | 0.195707 | + | 0.920728i | ||||
\(193\) | −2.31254 | + | 3.56099i | −0.166460 | + | 0.256326i | −0.912050 | − | 0.410079i | \(-0.865501\pi\) |
0.745590 | + | 0.666405i | \(0.232168\pi\) | |||||||
\(194\) | 6.37611 | − | 4.63251i | 0.457778 | − | 0.332595i | ||||
\(195\) | −7.97950 | + | 0.821873i | −0.571424 | + | 0.0588555i | ||||
\(196\) | −2.02446 | − | 6.23063i | −0.144604 | − | 0.445045i | ||||
\(197\) | −5.18761 | + | 19.3604i | −0.369602 | + | 1.37937i | 0.491473 | + | 0.870893i | \(0.336459\pi\) |
−0.861074 | + | 0.508479i | \(0.830208\pi\) | |||||||
\(198\) | −7.22629 | − | 2.05432i | −0.513550 | − | 0.145994i | ||||
\(199\) | −16.1376 | − | 9.31707i | −1.14397 | − | 0.660470i | −0.196557 | − | 0.980492i | \(-0.562976\pi\) |
−0.947410 | + | 0.320022i | \(0.896310\pi\) | |||||||
\(200\) | 0.0583404 | − | 0.114499i | 0.00412529 | − | 0.00809633i | ||||
\(201\) | −2.78258 | + | 7.24886i | −0.196268 | + | 0.511295i | ||||
\(202\) | −27.3508 | + | 33.7755i | −1.92440 | + | 2.37643i | ||||
\(203\) | 7.80692 | − | 3.97782i | 0.547938 | − | 0.279189i | ||||
\(204\) | 5.78132 | − | 5.20553i | 0.404773 | − | 0.364460i | ||||
\(205\) | 16.0737 | + | 7.15646i | 1.12263 | + | 0.499829i | ||||
\(206\) | 23.3773 | + | 28.8686i | 1.62877 | + | 2.01137i | ||||
\(207\) | 1.16727 | − | 0.379268i | 0.0811306 | − | 0.0263609i | ||||
\(208\) | −1.65409 | − | 0.0901437i | −0.114691 | − | 0.00625034i | ||||
\(209\) | −2.09133 | − | 1.10588i | −0.144660 | − | 0.0764954i | ||||
\(210\) | 10.7836 | + | 2.88946i | 0.744141 | + | 0.199392i | ||||
\(211\) | −0.963463 | − | 0.867506i | −0.0663275 | − | 0.0597216i | 0.635300 | − | 0.772265i | \(-0.280876\pi\) |
−0.701628 | + | 0.712544i | \(0.747543\pi\) | |||||||
\(212\) | 3.19230 | + | 7.17002i | 0.219248 | + | 0.492439i | ||||
\(213\) | −1.81486 | + | 11.4586i | −0.124352 | + | 0.785127i | ||||
\(214\) | −16.8508 | − | 0.883113i | −1.15190 | − | 0.0603684i | ||||
\(215\) | 7.75810 | + | 0.406585i | 0.529098 | + | 0.0277288i | ||||
\(216\) | −0.400715 | + | 2.53001i | −0.0272652 | + | 0.172146i | ||||
\(217\) | −7.22189 | − | 16.2206i | −0.490254 | − | 1.10113i | ||||
\(218\) | 19.2192 | + | 17.3051i | 1.30169 | + | 1.17205i | ||||
\(219\) | −0.371909 | − | 0.0996527i | −0.0251313 | − | 0.00673391i | ||||
\(220\) | −10.1746 | − | 20.7411i | −0.685972 | − | 1.39836i | ||||
\(221\) | 4.05068 | + | 7.99103i | 0.272478 | + | 0.537535i | ||||
\(222\) | 13.3000 | − | 4.32144i | 0.892640 | − | 0.290036i | ||||
\(223\) | 4.56881 | + | 5.64201i | 0.305950 | + | 0.377817i | 0.906812 | − | 0.421536i | \(-0.138509\pi\) |
−0.600861 | + | 0.799353i | \(0.705176\pi\) | |||||||
\(224\) | 12.4741 | + | 5.55384i | 0.833462 | + | 0.371081i | ||||
\(225\) | −0.0372815 | + | 0.0335684i | −0.00248543 | + | 0.00223789i | ||||
\(226\) | −38.8725 | + | 19.8065i | −2.58576 | + | 1.31751i | ||||
\(227\) | 1.67006 | − | 2.06235i | 0.110846 | − | 0.136883i | −0.718704 | − | 0.695317i | \(-0.755264\pi\) |
0.829549 | + | 0.558434i | \(0.188597\pi\) | |||||||
\(228\) | −0.800312 | + | 2.08488i | −0.0530019 | + | 0.138075i | ||||
\(229\) | −2.84159 | + | 5.57694i | −0.187778 | + | 0.368534i | −0.965633 | − | 0.259909i | \(-0.916308\pi\) |
0.777856 | + | 0.628443i | \(0.216308\pi\) | |||||||
\(230\) | 5.35654 | + | 3.09260i | 0.353200 | + | 0.203920i | ||||
\(231\) | −5.77943 | + | 4.53661i | −0.380259 | + | 0.298487i | ||||
\(232\) | −2.62221 | + | 9.78622i | −0.172156 | + | 0.642497i | ||||
\(233\) | 1.32679 | + | 4.08345i | 0.0869210 | + | 0.267515i | 0.985064 | − | 0.172188i | \(-0.0550836\pi\) |
−0.898143 | + | 0.439703i | \(0.855084\pi\) | |||||||
\(234\) | −7.45406 | − | 3.33739i | −0.487287 | − | 0.218172i | ||||
\(235\) | −7.70381 | + | 5.59715i | −0.502541 | + | 0.365117i | ||||
\(236\) | 15.5761 | − | 23.9851i | 1.01392 | − | 1.56130i | ||||
\(237\) | 0.346121 | + | 1.62837i | 0.0224830 | + | 0.105774i | ||||
\(238\) | −1.30332 | − | 12.4003i | −0.0844816 | − | 0.803789i | ||||
\(239\) | −0.983913 | − | 6.21218i | −0.0636440 | − | 0.401833i | −0.998859 | − | 0.0477527i | \(-0.984794\pi\) |
0.935215 | − | 0.354080i | \(-0.115206\pi\) | |||||||
\(240\) | 0.857273 | − | 0.556720i | 0.0553367 | − | 0.0359361i | ||||
\(241\) | 5.33071 | + | 19.8945i | 0.343381 | + | 1.28152i | 0.894492 | + | 0.447085i | \(0.147538\pi\) |
−0.551110 | + | 0.834433i | \(0.685796\pi\) | |||||||
\(242\) | 24.4801 | + | 4.64292i | 1.57364 | + | 0.298458i | ||||
\(243\) | 0.500000 | − | 0.866025i | 0.0320750 | − | 0.0555556i | ||||
\(244\) | 15.2189 | − | 16.9023i | 0.974292 | − | 1.08206i | ||||
\(245\) | −3.61793 | + | 2.92974i | −0.231141 | + | 0.187174i | ||||
\(246\) | 10.5294 | + | 14.4925i | 0.671329 | + | 0.924006i | ||||
\(247\) | −2.07748 | − | 1.51600i | −0.132187 | − | 0.0964609i | ||||
\(248\) | 19.5261 | + | 6.34442i | 1.23991 | + | 0.402871i | ||||
\(249\) | −2.48109 | − | 6.46347i | −0.157233 | − | 0.409606i | ||||
\(250\) | −25.3111 | − | 2.66030i | −1.60081 | − | 0.168252i | ||||
\(251\) | −0.828650 | + | 3.89849i | −0.0523039 | + | 0.246071i | −0.996531 | − | 0.0832251i | \(-0.973478\pi\) |
0.944227 | + | 0.329296i | \(0.106811\pi\) | |||||||
\(252\) | 4.90432 | + | 4.90432i | 0.308943 | + | 0.308943i | ||||
\(253\) | −3.74339 | + | 1.59904i | −0.235345 | + | 0.100531i | ||||
\(254\) | −22.5213 | + | 6.03457i | −1.41311 | + | 0.378643i | ||||
\(255\) | −4.92568 | − | 2.50976i | −0.308458 | − | 0.157167i | ||||
\(256\) | −11.7957 | + | 5.25179i | −0.737231 | + | 0.328237i | ||||
\(257\) | 3.58304 | − | 8.04764i | 0.223504 | − | 0.501998i | −0.766636 | − | 0.642082i | \(-0.778071\pi\) |
0.990140 | + | 0.140084i | \(0.0447374\pi\) | |||||||
\(258\) | 6.63349 | + | 4.30784i | 0.412983 | + | 0.268194i | ||||
\(259\) | 4.22634 | − | 13.0073i | 0.262612 | − | 0.808237i | ||||
\(260\) | −7.71113 | − | 23.9017i | −0.478224 | − | 1.48232i | ||||
\(261\) | 2.32481 | − | 3.19982i | 0.143902 | − | 0.198064i | ||||
\(262\) | −1.63663 | − | 31.2289i | −0.101112 | − | 1.92932i | ||||
\(263\) | 12.6195 | − | 7.28585i | 0.778149 | − | 0.449264i | −0.0576250 | − | 0.998338i | \(-0.518353\pi\) |
0.835774 | + | 0.549074i | \(0.185019\pi\) | |||||||
\(264\) | 0.573341 | − | 8.47634i | 0.0352867 | − | 0.521682i | ||||
\(265\) | 3.94373 | − | 3.94373i | 0.242261 | − | 0.242261i | ||||
\(266\) | 1.94940 | + | 3.00181i | 0.119525 | + | 0.184053i | ||||
\(267\) | −9.29210 | − | 3.56690i | −0.568667 | − | 0.218291i | ||||
\(268\) | −24.0105 | − | 3.80289i | −1.46667 | − | 0.232298i | ||||
\(269\) | −14.2737 | − | 15.8526i | −0.870284 | − | 0.966549i | 0.129402 | − | 0.991592i | \(-0.458694\pi\) |
−0.999686 | + | 0.0250437i | \(0.992028\pi\) | |||||||
\(270\) | 4.92941 | − | 1.04778i | 0.299994 | − | 0.0637657i | ||||
\(271\) | 27.6145 | − | 10.6002i | 1.67746 | − | 0.643917i | 0.681346 | − | 0.731962i | \(-0.261395\pi\) |
0.996117 | + | 0.0880445i | \(0.0280618\pi\) | |||||||
\(272\) | −0.923593 | − | 0.671029i | −0.0560010 | − | 0.0406871i | ||||
\(273\) | −6.92555 | + | 3.97925i | −0.419153 | + | 0.240835i | ||||
\(274\) | − | 43.3195i | − | 2.61702i | ||||||
\(275\) | 0.113197 | − | 0.121945i | 0.00682607 | − | 0.00735354i | ||||
\(276\) | 1.92131 | + | 3.32780i | 0.115649 | + | 0.200310i | ||||
\(277\) | −8.79981 | − | 1.87046i | −0.528730 | − | 0.112385i | −0.0641907 | − | 0.997938i | \(-0.520447\pi\) |
−0.464539 | + | 0.885553i | \(0.653780\pi\) | |||||||
\(278\) | −3.30010 | + | 0.522685i | −0.197927 | + | 0.0313486i | ||||
\(279\) | −6.22887 | − | 5.04404i | −0.372913 | − | 0.301979i | ||||
\(280\) | −0.660738 | + | 12.6076i | −0.0394867 | + | 0.753450i | ||||
\(281\) | 10.7622 | + | 21.1220i | 0.642018 | + | 1.26003i | 0.951067 | + | 0.308985i | \(0.0999892\pi\) |
−0.309049 | + | 0.951046i | \(0.600011\pi\) | |||||||
\(282\) | −9.64189 | + | 1.01340i | −0.574166 | + | 0.0603473i | ||||
\(283\) | 2.61529 | − | 24.8828i | 0.155463 | − | 1.47913i | −0.587187 | − | 0.809452i | \(-0.699765\pi\) |
0.742650 | − | 0.669680i | \(-0.233569\pi\) | |||||||
\(284\) | −36.2725 | + | 1.90096i | −2.15238 | + | 0.112801i | ||||
\(285\) | 1.58695 | 0.0940025 | ||||||||
\(286\) | 25.6131 | + | 8.81378i | 1.51453 | + | 0.521170i | ||||
\(287\) | 17.5194 | 1.03414 | ||||||||
\(288\) | 6.15536 | − | 0.322589i | 0.362708 | − | 0.0190087i | ||||
\(289\) | 1.13160 | − | 10.7665i | 0.0665650 | − | 0.633323i | ||||
\(290\) | 19.8231 | − | 2.08350i | 1.16406 | − | 0.122347i | ||||
\(291\) | −1.57961 | − | 3.10016i | −0.0925984 | − | 0.181735i | ||||
\(292\) | 0.0630894 | − | 1.20382i | 0.00369203 | − | 0.0704481i | ||||
\(293\) | 16.2071 | + | 13.1243i | 0.946830 | + | 0.766728i | 0.972490 | − | 0.232943i | \(-0.0748356\pi\) |
−0.0256605 | + | 0.999671i | \(0.508169\pi\) | |||||||
\(294\) | −4.68142 | + | 0.741464i | −0.273026 | + | 0.0432430i | ||||
\(295\) | −19.8787 | − | 4.22534i | −1.15738 | − | 0.246009i | ||||
\(296\) | 7.90723 | + | 13.6957i | 0.459599 | + | 0.796048i | ||||
\(297\) | −1.39482 | + | 3.00907i | −0.0809358 | + | 0.174604i | ||||
\(298\) | 16.8706i | 0.977288i | ||||||||
\(299\) | −4.27682 | + | 1.13642i | −0.247335 | + | 0.0657211i | ||||
\(300\) | −0.127069 | − | 0.0923212i | −0.00733635 | − | 0.00533017i | ||||
\(301\) | 7.22168 | − | 2.77214i | 0.416250 | − | 0.159784i | ||||
\(302\) | 42.2223 | − | 8.97463i | 2.42962 | − | 0.516432i | ||||
\(303\) | 12.8385 | + | 14.2586i | 0.737553 | + | 0.819136i | ||||
\(304\) | 0.323682 | + | 0.0512663i | 0.0185645 | + | 0.00294032i | ||||
\(305\) | −15.0889 | − | 5.79208i | −0.863987 | − | 0.331653i | ||||
\(306\) | −3.06545 | − | 4.72038i | −0.175240 | − | 0.269846i | ||||
\(307\) | −1.83505 | + | 1.83505i | −0.104732 | + | 0.104732i | −0.757531 | − | 0.652799i | \(-0.773595\pi\) |
0.652799 | + | 0.757531i | \(0.273595\pi\) | |||||||
\(308\) | −17.6552 | − | 14.7461i | −1.00600 | − | 0.840237i | ||||
\(309\) | 14.2023 | − | 8.19970i | 0.807940 | − | 0.466464i | ||||
\(310\) | −2.11396 | − | 40.3368i | −0.120065 | − | 2.29098i | ||||
\(311\) | −11.3054 | + | 15.5606i | −0.641071 | + | 0.882359i | −0.998672 | − | 0.0515158i | \(-0.983595\pi\) |
0.357601 | + | 0.933874i | \(0.383595\pi\) | |||||||
\(312\) | 1.93905 | − | 9.02996i | 0.109777 | − | 0.511221i | ||||
\(313\) | −5.30534 | + | 16.3282i | −0.299875 | + | 0.922922i | 0.681665 | + | 0.731665i | \(0.261256\pi\) |
−0.981540 | + | 0.191257i | \(0.938744\pi\) | |||||||
\(314\) | −13.5108 | − | 8.77400i | −0.762457 | − | 0.495145i | ||||
\(315\) | 2.00465 | − | 4.50253i | 0.112949 | − | 0.253689i | ||||
\(316\) | −4.76149 | + | 2.11995i | −0.267855 | + | 0.119257i | ||||
\(317\) | −5.79572 | − | 2.95306i | −0.325520 | − | 0.165861i | 0.283592 | − | 0.958945i | \(-0.408474\pi\) |
−0.609112 | + | 0.793084i | \(0.708474\pi\) | |||||||
\(318\) | 5.48486 | − | 1.46966i | 0.307576 | − | 0.0824146i | ||||
\(319\) | −6.73061 | + | 11.2596i | −0.376842 | + | 0.630416i | ||||
\(320\) | 20.5191 | + | 20.5191i | 1.14705 | + | 1.14705i | ||||
\(321\) | −1.54882 | + | 7.28661i | −0.0864465 | + | 0.406699i | ||||
\(322\) | 6.12497 | + | 0.643760i | 0.341331 | + | 0.0358754i | ||||
\(323\) | −0.635164 | − | 1.65466i | −0.0353415 | − | 0.0920677i | ||||
\(324\) | 2.97762 | + | 0.967488i | 0.165423 | + | 0.0537494i | ||||
\(325\) | 0.140807 | − | 0.113538i | 0.00781058 | − | 0.00629798i | ||||
\(326\) | −21.7019 | − | 29.8701i | −1.20196 | − | 1.65435i | ||||
\(327\) | 8.87299 | − | 7.18521i | 0.490678 | − | 0.397343i | ||||
\(328\) | −13.5551 | + | 15.0545i | −0.748457 | + | 0.831245i | ||||
\(329\) | −4.74082 | + | 8.21134i | −0.261370 | + | 0.452706i | ||||
\(330\) | −15.9727 | + | 4.92313i | −0.879271 | + | 0.271010i | ||||
\(331\) | −4.01695 | − | 14.9915i | −0.220792 | − | 0.824005i | −0.984047 | − | 0.177909i | \(-0.943067\pi\) |
0.763255 | − | 0.646097i | \(-0.223600\pi\) | |||||||
\(332\) | 18.1789 | − | 11.8055i | 0.997699 | − | 0.647913i | ||||
\(333\) | −0.965793 | − | 6.09777i | −0.0529251 | − | 0.334156i | ||||
\(334\) | −4.90371 | − | 46.6557i | −0.268319 | − | 2.55288i | ||||
\(335\) | 3.59163 | + | 16.8973i | 0.196232 | + | 0.923199i | ||||
\(336\) | 0.554335 | − | 0.853601i | 0.0302414 | − | 0.0465677i | ||||
\(337\) | −11.1966 | + | 8.13478i | −0.609916 | + | 0.443130i | −0.849385 | − | 0.527774i | \(-0.823027\pi\) |
0.239469 | + | 0.970904i | \(0.423027\pi\) | |||||||
\(338\) | 26.1814 | + | 13.4778i | 1.42408 | + | 0.733095i | ||||
\(339\) | 5.95181 | + | 18.3178i | 0.323258 | + | 0.994886i | ||||
\(340\) | 4.47966 | − | 16.7183i | 0.242944 | − | 0.906678i | ||||
\(341\) | 22.0720 | + | 14.8148i | 1.19527 | + | 0.802266i | ||||
\(342\) | 1.39924 | + | 0.807852i | 0.0756623 | + | 0.0436836i | ||||
\(343\) | −9.14450 | + | 17.9471i | −0.493757 | + | 0.969052i | ||||
\(344\) | −3.20544 | + | 8.35046i | −0.172826 | + | 0.450226i | ||||
\(345\) | 1.71843 | − | 2.12208i | 0.0925169 | − | 0.114249i | ||||
\(346\) | −13.7539 | + | 7.00795i | −0.739413 | + | 0.376750i | ||||
\(347\) | 1.85344 | − | 1.66885i | 0.0994980 | − | 0.0895884i | −0.617881 | − | 0.786272i | \(-0.712008\pi\) |
0.717379 | + | 0.696684i | \(0.245342\pi\) | |||||||
\(348\) | 11.3126 | + | 5.03668i | 0.606418 | + | 0.269995i | ||||
\(349\) | −6.38903 | − | 7.88979i | −0.341997 | − | 0.422331i | 0.576909 | − | 0.816809i | \(-0.304259\pi\) |
−0.918906 | + | 0.394478i | \(0.870926\pi\) | |||||||
\(350\) | −0.239415 | + | 0.0777907i | −0.0127973 | + | 0.00415809i | ||||
\(351\) | −1.97002 | + | 3.01977i | −0.105152 | + | 0.161183i | ||||
\(352\) | −20.2376 | + | 2.89119i | −1.07867 | + | 0.154101i | ||||
\(353\) | 9.45090 | + | 2.53236i | 0.503021 | + | 0.134784i | 0.501402 | − | 0.865215i | \(-0.332818\pi\) |
0.00161915 | + | 0.999999i | \(0.499485\pi\) | |||||||
\(354\) | −15.3764 | − | 13.8450i | −0.817249 | − | 0.735854i | ||||
\(355\) | 10.4983 | + | 23.5795i | 0.557191 | + | 1.25147i | ||||
\(356\) | 4.87481 | − | 30.7784i | 0.258365 | − | 1.63125i | ||||
\(357\) | −5.49700 | − | 0.288085i | −0.290932 | − | 0.0152471i | ||||
\(358\) | −32.0356 | − | 1.67892i | −1.69313 | − | 0.0887334i | ||||
\(359\) | 3.53169 | − | 22.2982i | 0.186396 | − | 1.17686i | −0.700074 | − | 0.714070i | \(-0.746850\pi\) |
0.886470 | − | 0.462786i | \(-0.153150\pi\) | |||||||
\(360\) | 2.31799 | + | 5.20629i | 0.122169 | + | 0.274396i | ||||
\(361\) | −13.7417 | − | 12.3730i | −0.723245 | − | 0.651213i | ||||
\(362\) | 57.7078 | + | 15.4628i | 3.03305 | + | 0.812704i | ||||
\(363\) | 3.71513 | − | 10.3536i | 0.194994 | − | 0.543425i | ||||
\(364\) | −16.6944 | − | 18.6188i | −0.875022 | − | 0.975892i | ||||
\(365\) | −0.814694 | + | 0.264710i | −0.0426430 | + | 0.0138556i | ||||
\(366\) | −10.3556 | − | 12.7881i | −0.541298 | − | 0.668447i | ||||
\(367\) | 0.454506 | + | 0.202359i | 0.0237250 | + | 0.0105631i | 0.418565 | − | 0.908187i | \(-0.362533\pi\) |
−0.394840 | + | 0.918750i | \(0.629200\pi\) | |||||||
\(368\) | 0.419054 | − | 0.377318i | 0.0218447 | − | 0.0196690i | ||||
\(369\) | 7.04645 | − | 3.59035i | 0.366824 | − | 0.186906i | ||||
\(370\) | 19.5800 | − | 24.1793i | 1.01792 | − | 1.25702i | ||||
\(371\) | 1.99015 | − | 5.18453i | 0.103324 | − | 0.269167i | ||||
\(372\) | 11.3924 | − | 22.3589i | 0.590670 | − | 1.15926i | ||||
\(373\) | −9.21837 | − | 5.32223i | −0.477309 | − | 0.275575i | 0.241985 | − | 0.970280i | \(-0.422201\pi\) |
−0.719295 | + | 0.694705i | \(0.755535\pi\) | |||||||
\(374\) | 11.5262 | + | 14.6838i | 0.596005 | + | 0.759283i | ||||
\(375\) | −2.90802 | + | 10.8529i | −0.150169 | + | 0.560440i | ||||
\(376\) | −3.38796 | − | 10.4271i | −0.174721 | − | 0.537735i | ||||
\(377\) | −8.99760 | + | 11.0639i | −0.463400 | + | 0.569819i | ||||
\(378\) | 4.05960 | − | 2.94947i | 0.208803 | − | 0.151705i | ||||
\(379\) | 3.41938 | − | 5.26538i | 0.175642 | − | 0.270464i | −0.739875 | − | 0.672744i | \(-0.765115\pi\) |
0.915517 | + | 0.402280i | \(0.131782\pi\) | |||||||
\(380\) | 1.03301 | + | 4.85993i | 0.0529923 | + | 0.249309i | ||||
\(381\) | 1.07594 | + | 10.2369i | 0.0551223 | + | 0.524454i | ||||
\(382\) | 2.42267 | + | 15.2961i | 0.123954 | + | 0.782618i | ||||
\(383\) | −6.86555 | + | 4.45854i | −0.350813 | + | 0.227821i | −0.708000 | − | 0.706212i | \(-0.750403\pi\) |
0.357187 | + | 0.934033i | \(0.383736\pi\) | |||||||
\(384\) | 4.45598 | + | 16.6300i | 0.227393 | + | 0.848644i | ||||
\(385\) | −5.28668 | + | 15.4679i | −0.269434 | + | 0.788318i | ||||
\(386\) | −4.80889 | + | 8.32924i | −0.244766 | + | 0.423947i | ||||
\(387\) | 2.33650 | − | 2.59495i | 0.118771 | − | 0.131909i | ||||
\(388\) | 8.46582 | − | 6.85549i | 0.429787 | − | 0.348035i | ||||
\(389\) | 5.08885 | + | 7.00420i | 0.258015 | + | 0.355127i | 0.918298 | − | 0.395890i | \(-0.129564\pi\) |
−0.660283 | + | 0.751017i | \(0.729564\pi\) | |||||||
\(390\) | −17.9525 | + | 2.80506i | −0.909059 | + | 0.142040i | ||||
\(391\) | −2.90042 | − | 0.942402i | −0.146680 | − | 0.0476593i | ||||
\(392\) | −1.92086 | − | 5.00400i | −0.0970178 | − | 0.252740i | ||||
\(393\) | −13.7300 | − | 1.44308i | −0.692588 | − | 0.0727939i | ||||
\(394\) | −9.43941 | + | 44.4089i | −0.475550 | + | 2.23729i | ||||
\(395\) | 2.61896 | + | 2.61896i | 0.131774 | + | 0.131774i | ||||
\(396\) | −10.1230 | − | 2.31283i | −0.508702 | − | 0.116224i | ||||
\(397\) | −34.4444 | + | 9.22934i | −1.72871 | + | 0.463207i | −0.979886 | − | 0.199558i | \(-0.936050\pi\) |
−0.748828 | + | 0.662765i | \(0.769383\pi\) | |||||||
\(398\) | −37.6085 | − | 19.1625i | −1.88514 | − | 0.960527i | ||||
\(399\) | 1.44354 | − | 0.642704i | 0.0722672 | − | 0.0321754i | ||||
\(400\) | −0.00937487 | + | 0.0210563i | −0.000468744 | + | 0.00105282i | ||||
\(401\) | 28.1417 | + | 18.2754i | 1.40533 | + | 0.912631i | 0.999999 | − | 0.00153923i | \(-0.000489953\pi\) |
0.405330 | + | 0.914170i | \(0.367157\pi\) | |||||||
\(402\) | −5.43495 | + | 16.7270i | −0.271071 | + | 0.834269i | ||||
\(403\) | 21.4356 | + | 19.3817i | 1.06778 | + | 0.965471i | ||||
\(404\) | −35.3090 | + | 48.5987i | −1.75669 | + | 2.41788i | ||||
\(405\) | −0.116438 | − | 2.22177i | −0.00578586 | − | 0.110401i | ||||
\(406\) | 17.1880 | − | 9.92348i | 0.853024 | − | 0.492494i | ||||
\(407\) | 4.99883 | + | 19.8566i | 0.247783 | + | 0.984254i | ||||
\(408\) | 4.50068 | − | 4.50068i | 0.222817 | − | 0.222817i | ||||
\(409\) | 15.3307 | + | 23.6072i | 0.758053 | + | 1.16730i | 0.981290 | + | 0.192535i | \(0.0616710\pi\) |
−0.223237 | + | 0.974764i | \(0.571662\pi\) | |||||||
\(410\) | 37.2076 | + | 14.2827i | 1.83755 | + | 0.705370i | ||||
\(411\) | −18.8890 | − | 2.99172i | −0.931723 | − | 0.147570i | ||||
\(412\) | 34.3560 | + | 38.1562i | 1.69260 | + | 1.87982i | ||||
\(413\) | −19.7935 | + | 4.20724i | −0.973975 | + | 0.207025i | ||||
\(414\) | 2.59544 | − | 0.996295i | 0.127559 | − | 0.0489652i | ||||
\(415\) | −12.4614 | − | 9.05373i | −0.611706 | − | 0.444430i | ||||
\(416\) | −22.2239 | − | 0.0463050i | −1.08962 | − | 0.00227029i | ||||
\(417\) | 1.47507i | 0.0722345i | ||||||||
\(418\) | −4.86176 | − | 2.25362i | −0.237796 | − | 0.110228i | ||||
\(419\) | 2.29186 | + | 3.96962i | 0.111965 | + | 0.193929i | 0.916562 | − | 0.399892i | \(-0.130952\pi\) |
−0.804598 | + | 0.593820i | \(0.797619\pi\) | |||||||
\(420\) | 15.0936 | + | 3.20825i | 0.736494 | + | 0.156547i | ||||
\(421\) | 36.6187 | − | 5.79983i | 1.78468 | − | 0.282666i | 0.825285 | − | 0.564717i | \(-0.191015\pi\) |
0.959400 | + | 0.282050i | \(0.0910146\pi\) | |||||||
\(422\) | −2.28223 | − | 1.84811i | −0.111097 | − | 0.0899647i | ||||
\(423\) | −0.224002 | + | 4.27422i | −0.0108914 | + | 0.207820i | ||||
\(424\) | 2.91525 | + | 5.72151i | 0.141577 | + | 0.277861i | ||||
\(425\) | 0.123972 | − | 0.0130300i | 0.00601353 | − | 0.000632048i | ||||
\(426\) | −2.74688 | + | 26.1348i | −0.133087 | + | 1.26624i | ||||
\(427\) | −16.0711 | + | 0.842250i | −0.777734 | + | 0.0407593i | ||||
\(428\) | −23.3230 | −1.12736 | ||||||||
\(429\) | 5.61203 | − | 10.5596i | 0.270952 | − | 0.509822i | ||||
\(430\) | 17.5973 | 0.848617 | ||||||||
\(431\) | −22.2878 | + | 1.16806i | −1.07357 | + | 0.0562632i | −0.580916 | − | 0.813964i | \(-0.697305\pi\) |
−0.492651 | + | 0.870227i | \(0.663972\pi\) | |||||||
\(432\) | 0.0480250 | − | 0.456927i | 0.00231060 | − | 0.0219839i | ||||
\(433\) | −24.0921 | + | 2.53218i | −1.15779 | + | 0.121689i | −0.663891 | − | 0.747829i | \(-0.731096\pi\) |
−0.493901 | + | 0.869518i | \(0.664430\pi\) | |||||||
\(434\) | −18.2591 | − | 35.8355i | −0.876464 | − | 1.72016i | ||||
\(435\) | 0.460536 | − | 8.78755i | 0.0220810 | − | 0.421331i | ||||
\(436\) | 27.7801 | + | 22.4959i | 1.33042 | + | 1.07736i | ||||
\(437\) | 0.864670 | − | 0.136950i | 0.0413628 | − | 0.00655122i | ||||
\(438\) | −0.853085 | − | 0.181329i | −0.0407620 | − | 0.00866422i | ||||
\(439\) | 4.80131 | + | 8.31612i | 0.229154 | + | 0.396907i | 0.957558 | − | 0.288242i | \(-0.0930706\pi\) |
−0.728403 | + | 0.685148i | \(0.759737\pi\) | |||||||
\(440\) | −9.20120 | − | 16.5107i | −0.438650 | − | 0.787115i | ||||
\(441\) | 2.09249i | 0.0996422i | ||||||||
\(442\) | 10.1101 | + | 17.5958i | 0.480889 | + | 0.836946i | ||||
\(443\) | 3.84173 | + | 2.79118i | 0.182526 | + | 0.132613i | 0.675296 | − | 0.737546i | \(-0.264016\pi\) |
−0.492770 | + | 0.870159i | \(0.664016\pi\) | |||||||
\(444\) | 18.0454 | − | 6.92698i | 0.856397 | − | 0.328740i | ||||
\(445\) | −21.6602 | + | 4.60401i | −1.02679 | + | 0.218251i | ||||
\(446\) | 11.0037 | + | 12.2208i | 0.521038 | + | 0.578672i | ||||
\(447\) | 7.35623 | + | 1.16511i | 0.347938 | + | 0.0551079i | ||||
\(448\) | 26.9749 | + | 10.3547i | 1.27444 | + | 0.489213i | ||||
\(449\) | 5.54184 | + | 8.53368i | 0.261535 | + | 0.402729i | 0.944906 | − | 0.327343i | \(-0.106153\pi\) |
−0.683370 | + | 0.730072i | \(0.739487\pi\) | |||||||
\(450\) | −0.0803525 | + | 0.0803525i | −0.00378785 | + | 0.00378785i | ||||
\(451\) | −22.2120 | + | 13.9500i | −1.04592 | + | 0.656879i | ||||
\(452\) | −52.2229 | + | 30.1509i | −2.45636 | + | 1.41818i | ||||
\(453\) | −0.997339 | − | 19.0304i | −0.0468591 | − | 0.894124i | ||||
\(454\) | 3.53324 | − | 4.86309i | 0.165823 | − | 0.228236i | ||||
\(455\) | −8.10058 | + | 15.8167i | −0.379761 | + | 0.741499i | ||||
\(456\) | −0.564615 | + | 1.73771i | −0.0264405 | + | 0.0813755i | ||||
\(457\) | 16.6272 | + | 10.7978i | 0.777787 | + | 0.505101i | 0.871439 | − | 0.490504i | \(-0.163187\pi\) |
−0.0936521 | + | 0.995605i | \(0.529854\pi\) | |||||||
\(458\) | −5.76664 | + | 12.9521i | −0.269458 | + | 0.605212i | ||||
\(459\) | −2.26997 | + | 1.01066i | −0.105953 | + | 0.0471734i | ||||
\(460\) | 7.61734 | + | 3.88123i | 0.355160 | + | 0.180963i | ||||
\(461\) | 5.63160 | − | 1.50898i | 0.262290 | − | 0.0702804i | −0.125277 | − | 0.992122i | \(-0.539982\pi\) |
0.387567 | + | 0.921841i | \(0.373315\pi\) | |||||||
\(462\) | −12.5355 | + | 10.9471i | −0.583203 | + | 0.509306i | ||||
\(463\) | 3.72092 | + | 3.72092i | 0.172926 | + | 0.172926i | 0.788264 | − | 0.615338i | \(-0.210980\pi\) |
−0.615338 | + | 0.788264i | \(0.710980\pi\) | |||||||
\(464\) | 0.377815 | − | 1.77748i | 0.0175396 | − | 0.0825175i | ||||
\(465\) | −17.7344 | − | 1.86396i | −0.822412 | − | 0.0864390i | ||||
\(466\) | 3.48534 | + | 9.07961i | 0.161455 | + | 0.420605i | ||||
\(467\) | −34.9044 | − | 11.3411i | −1.61518 | − | 0.524805i | −0.644385 | − | 0.764702i | \(-0.722886\pi\) |
−0.970798 | + | 0.239897i | \(0.922886\pi\) | |||||||
\(468\) | −10.5302 | − | 4.06737i | −0.486761 | − | 0.188014i | ||||
\(469\) | 10.1104 | + | 13.9157i | 0.466854 | + | 0.642569i | ||||
\(470\) | −16.7628 | + | 13.5742i | −0.773208 | + | 0.626132i | ||||
\(471\) | −4.75888 | + | 5.28527i | −0.219278 | + | 0.243532i | ||||
\(472\) | 11.6993 | − | 20.2638i | 0.538505 | − | 0.932718i | ||||
\(473\) | −6.94864 | + | 9.26496i | −0.319499 | + | 0.426003i | ||||
\(474\) | 0.975979 | + | 3.64240i | 0.0448282 | + | 0.167301i | ||||
\(475\) | −0.0300108 | + | 0.0194892i | −0.00137699 | + | 0.000894228i | ||||
\(476\) | −2.69598 | − | 17.0218i | −0.123570 | − | 0.780191i | ||||
\(477\) | −0.262036 | − | 2.49311i | −0.0119978 | − | 0.114152i | ||||
\(478\) | −2.96209 | − | 13.9355i | −0.135483 | − | 0.637396i | ||||
\(479\) | 2.76963 | − | 4.26486i | 0.126548 | − | 0.194866i | −0.769718 | − | 0.638384i | \(-0.779603\pi\) |
0.896266 | + | 0.443518i | \(0.146270\pi\) | |||||||
\(480\) | 11.0944 | − | 8.06052i | 0.506386 | − | 0.367911i | ||||
\(481\) | 2.28066 | + | 22.1428i | 0.103989 | + | 1.00962i | ||||
\(482\) | 14.4167 | + | 44.3701i | 0.656664 | + | 2.02100i | ||||
\(483\) | 0.703705 | − | 2.62626i | 0.0320197 | − | 0.119499i | ||||
\(484\) | 34.1257 | + | 4.63776i | 1.55117 | + | 0.210807i | ||||
\(485\) | −6.70392 | − | 3.87051i | −0.304409 | − | 0.175751i | ||||
\(486\) | 1.02835 | − | 2.01825i | 0.0466470 | − | 0.0915499i | ||||
\(487\) | −7.69099 | + | 20.0357i | −0.348512 | + | 0.907905i | 0.641526 | + | 0.767102i | \(0.278302\pi\) |
−0.990038 | + | 0.140803i | \(0.955031\pi\) | |||||||
\(488\) | 11.7108 | − | 14.4616i | 0.530121 | − | 0.654645i | ||||
\(489\) | −14.5233 | + | 7.39998i | −0.656765 | + | 0.334639i | ||||
\(490\) | −7.83657 | + | 7.05608i | −0.354020 | + | 0.318761i | ||||
\(491\) | 29.5854 | + | 13.1723i | 1.33517 | + | 0.594456i | 0.945236 | − | 0.326387i | \(-0.105831\pi\) |
0.389934 | + | 0.920843i | \(0.372498\pi\) | |||||||
\(492\) | 15.5821 | + | 19.2422i | 0.702493 | + | 0.867507i | ||||
\(493\) | −9.34684 | + | 3.03697i | −0.420960 | + | 0.136778i | ||||
\(494\) | −4.87906 | − | 3.18297i | −0.219519 | − | 0.143209i | ||||
\(495\) | 1.04357 | + | 7.30473i | 0.0469050 | + | 0.328323i | ||||
\(496\) | −3.55699 | − | 0.953093i | −0.159714 | − | 0.0427951i | ||||
\(497\) | 19.0992 | + | 17.1970i | 0.856714 | + | 0.771389i | ||||
\(498\) | −6.37855 | − | 14.3265i | −0.285830 | − | 0.641984i | ||||
\(499\) | 5.93619 | − | 37.4796i | 0.265740 | − | 1.67782i | −0.388436 | − | 0.921476i | \(-0.626984\pi\) |
0.654176 | − | 0.756342i | \(-0.273016\pi\) | |||||||
\(500\) | −35.1292 | − | 1.84105i | −1.57103 | − | 0.0823341i | ||||
\(501\) | −20.6823 | − | 1.08391i | −0.924018 | − | 0.0484257i | ||||
\(502\) | −1.41228 | + | 8.91676i | −0.0630330 | + | 0.397975i | ||||
\(503\) | 2.77545 | + | 6.23376i | 0.123751 | + | 0.277950i | 0.964788 | − | 0.263028i | \(-0.0847211\pi\) |
−0.841037 | + | 0.540977i | \(0.818054\pi\) | |||||||
\(504\) | 4.21704 | + | 3.79704i | 0.187842 | + | 0.169133i | ||||
\(505\) | 41.2328 | + | 11.0483i | 1.83484 | + | 0.491643i | ||||
\(506\) | −8.27812 | + | 4.06086i | −0.368007 | + | 0.180527i | ||||
\(507\) | 7.68497 | − | 10.4853i | 0.341301 | − | 0.465668i | ||||
\(508\) | −30.6496 | + | 9.95866i | −1.35986 | + | 0.441844i | ||||
\(509\) | −9.39131 | − | 11.5973i | −0.416263 | − | 0.514042i | 0.525283 | − | 0.850928i | \(-0.323960\pi\) |
−0.941545 | + | 0.336886i | \(0.890626\pi\) | |||||||
\(510\) | −11.4396 | − | 5.09324i | −0.506554 | − | 0.225532i | ||||
\(511\) | −0.633865 | + | 0.570735i | −0.0280406 | + | 0.0252478i | ||||
\(512\) | 4.62049 | − | 2.35426i | 0.204199 | − | 0.104045i | ||||
\(513\) | 0.448889 | − | 0.554331i | 0.0198189 | − | 0.0244743i | ||||
\(514\) | 7.15093 | − | 18.6288i | 0.315414 | − | 0.821682i | ||||
\(515\) | 16.5642 | − | 32.5090i | 0.729905 | − | 1.43252i | ||||
\(516\) | 9.46781 | + | 5.46624i | 0.416797 | + | 0.240638i | ||||
\(517\) | −0.527699 | − | 14.1856i | −0.0232082 | − | 0.623883i | ||||
\(518\) | 8.01814 | − | 29.9241i | 0.352297 | − | 1.31479i | ||||
\(519\) | 2.10587 | + | 6.48121i | 0.0924375 | + | 0.284493i | ||||
\(520\) | −7.32377 | − | 19.1985i | −0.321168 | − | 0.841911i | ||||
\(521\) | −15.8608 | + | 11.5235i | −0.694874 | + | 0.504855i | −0.878259 | − | 0.478186i | \(-0.841294\pi\) |
0.183385 | + | 0.983041i | \(0.441294\pi\) | |||||||
\(522\) | 4.87946 | − | 7.51371i | 0.213568 | − | 0.328866i | ||||
\(523\) | −5.95576 | − | 28.0197i | −0.260427 | − | 1.22521i | −0.892765 | − | 0.450522i | \(-0.851238\pi\) |
0.632338 | − | 0.774693i | \(-0.282095\pi\) | |||||||
\(524\) | −4.51809 | − | 42.9867i | −0.197374 | − | 1.87788i | ||||
\(525\) | 0.0173853 | + | 0.109767i | 0.000758758 | + | 0.00479061i | ||||
\(526\) | 27.6819 | − | 17.9769i | 1.20699 | − | 0.783828i | ||||
\(527\) | 5.15458 | + | 19.2371i | 0.224537 | + | 0.837983i | ||||
\(528\) | −0.0231266 | + | 1.52363i | −0.00100646 | + | 0.0663074i | ||||
\(529\) | −10.7468 | + | 18.6140i | −0.467253 | + | 0.809306i | ||||
\(530\) | 8.45333 | − | 9.38837i | 0.367189 | − | 0.407805i | ||||
\(531\) | −7.09889 | + | 5.74856i | −0.308065 | + | 0.249466i | ||||
\(532\) | 2.90790 | + | 4.00238i | 0.126073 | + | 0.173525i | ||||
\(533\) | −26.0731 | + | 11.5435i | −1.12935 | + | 0.500003i | ||||
\(534\) | −21.4419 | − | 6.96690i | −0.927882 | − | 0.301487i | ||||
\(535\) | 5.93944 | + | 15.4728i | 0.256784 | + | 0.668946i | ||||
\(536\) | −19.7804 | − | 2.07901i | −0.854384 | − | 0.0897994i | ||||
\(537\) | −2.94451 | + | 13.8528i | −0.127065 | + | 0.597793i | ||||
\(538\) | −34.1670 | − | 34.1670i | −1.47304 | − | 1.47304i | ||||
\(539\) | −0.620592 | − | 6.91219i | −0.0267308 | − | 0.297729i | ||||
\(540\) | 6.72825 | − | 1.80283i | 0.289538 | − | 0.0775815i | ||||
\(541\) | −12.9252 | − | 6.58572i | −0.555698 | − | 0.283142i | 0.153504 | − | 0.988148i | \(-0.450944\pi\) |
−0.709201 | + | 0.705006i | \(0.750944\pi\) | |||||||
\(542\) | 61.2084 | − | 27.2517i | 2.62912 | − | 1.17056i | ||||
\(543\) | 10.7278 | − | 24.0949i | 0.460372 | − | 1.03401i | ||||
\(544\) | −12.8449 | − | 8.34158i | −0.550721 | − | 0.357642i | ||||
\(545\) | 7.84956 | − | 24.1585i | 0.336238 | − | 1.03483i | ||||
\(546\) | −15.1941 | + | 9.82222i | −0.650248 | + | 0.420352i | ||||
\(547\) | 26.3071 | − | 36.2086i | 1.12481 | − | 1.54817i | 0.327236 | − | 0.944943i | \(-0.393883\pi\) |
0.797572 | − | 0.603223i | \(-0.206117\pi\) | |||||||
\(548\) | −3.13366 | − | 59.7937i | −0.133863 | − | 2.55426i | ||||
\(549\) | −6.29130 | + | 3.63229i | −0.268506 | + | 0.155022i | ||||
\(550\) | 0.241600 | − | 0.289263i | 0.0103019 | − | 0.0123342i | ||||
\(551\) | 1.99489 | − | 1.99489i | 0.0849853 | − | 0.0849853i | ||||
\(552\) | 1.71228 | + | 2.63669i | 0.0728796 | + | 0.112225i | ||||
\(553\) | 3.44296 | + | 1.32163i | 0.146409 | + | 0.0562013i | ||||
\(554\) | −20.1272 | − | 3.18784i | −0.855124 | − | 0.135438i | ||||
\(555\) | −9.19089 | − | 10.2075i | −0.390132 | − | 0.433285i | ||||
\(556\) | −4.51731 | + | 0.960185i | −0.191577 | + | 0.0407209i | ||||
\(557\) | 8.07438 | − | 3.09946i | 0.342123 | − | 0.131329i | −0.181239 | − | 0.983439i | \(-0.558011\pi\) |
0.523362 | + | 0.852110i | \(0.324678\pi\) | |||||||
\(558\) | −14.6879 | − | 10.6714i | −0.621788 | − | 0.451755i | ||||
\(559\) | −8.92103 | + | 8.88393i | −0.377319 | + | 0.375750i | ||||
\(560\) | − | 2.26443i | − | 0.0956896i | ||||||
\(561\) | 7.19874 | − | 4.01177i | 0.303931 | − | 0.169377i | ||||
\(562\) | 26.8484 | + | 46.5028i | 1.13253 | + | 1.96160i | ||||
\(563\) | −7.45953 | − | 1.58557i | −0.314382 | − | 0.0668239i | 0.0480186 | − | 0.998846i | \(-0.484709\pi\) |
−0.362400 | + | 0.932023i | \(0.618043\pi\) | |||||||
\(564\) | −13.2354 | + | 2.09628i | −0.557309 | + | 0.0882691i | ||||
\(565\) | 33.3016 | + | 26.9671i | 1.40101 | + | 1.13451i | ||||
\(566\) | 2.96607 | − | 56.5959i | 0.124673 | − | 2.37890i | ||||
\(567\) | −1.00572 | − | 1.97384i | −0.0422363 | − | 0.0828934i | ||||
\(568\) | −29.5548 | + | 3.10633i | −1.24009 | + | 0.130339i | ||||
\(569\) | 1.40036 | − | 13.3236i | 0.0587063 | − | 0.558553i | −0.925151 | − | 0.379599i | \(-0.876062\pi\) |
0.983857 | − | 0.178954i | \(-0.0572713\pi\) | |||||||
\(570\) | 3.58973 | − | 0.188130i | 0.150357 | − | 0.00787988i | ||||
\(571\) | −0.580206 | −0.0242809 | −0.0121404 | − | 0.999926i | \(-0.503865\pi\) | ||||
−0.0121404 | + | 0.999926i | \(0.503865\pi\) | |||||||
\(572\) | 35.9913 | + | 10.3128i | 1.50487 | + | 0.431201i | ||||
\(573\) | 6.83701 | 0.285620 | ||||||||
\(574\) | 39.6296 | − | 2.07690i | 1.65411 | − | 0.0866881i | ||||
\(575\) | −0.00643603 | + | 0.0612347i | −0.000268401 | + | 0.00255366i | ||||
\(576\) | 12.9715 | − | 1.36336i | 0.540481 | − | 0.0568069i | ||||
\(577\) | −16.0709 | − | 31.5409i | −0.669040 | − | 1.31307i | −0.936897 | − | 0.349607i | \(-0.886315\pi\) |
0.267856 | − | 0.963459i | \(-0.413685\pi\) | |||||||
\(578\) | 1.28338 | − | 24.4883i | 0.0533816 | − | 1.01858i | ||||
\(579\) | 3.29976 | + | 2.67209i | 0.137133 | + | 0.111048i | ||||
\(580\) | 27.2111 | − | 4.30982i | 1.12988 | − | 0.178956i | ||||
\(581\) | −15.0020 | − | 3.18877i | −0.622388 | − | 0.132293i | ||||
\(582\) | −3.94065 | − | 6.82541i | −0.163345 | − | 0.282922i | ||||
\(583\) | 1.60500 | + | 8.15786i | 0.0664725 | + | 0.337864i | ||||
\(584\) | − | 0.986270i | − | 0.0408122i | ||||||
\(585\) | −0.0167138 | + | 8.02169i | −0.000691029 | + | 0.331656i | ||||
\(586\) | 38.2169 | + | 27.7662i | 1.57873 | + | 1.14701i | ||||
\(587\) | −13.0106 | + | 4.99430i | −0.537005 | + | 0.206137i | −0.611729 | − | 0.791067i | \(-0.709526\pi\) |
0.0747241 | + | 0.997204i | \(0.476192\pi\) | |||||||
\(588\) | −6.40811 | + | 1.36209i | −0.264266 | + | 0.0561715i | ||||
\(589\) | −3.82546 | − | 4.24861i | −0.157626 | − | 0.175061i | ||||
\(590\) | −45.4672 | − | 7.20129i | −1.87185 | − | 0.296472i | ||||
\(591\) | 18.7121 | + | 7.18290i | 0.769713 | + | 0.295465i | ||||
\(592\) | −1.54487 | − | 2.37890i | −0.0634939 | − | 0.0977720i | ||||
\(593\) | 30.3949 | − | 30.3949i | 1.24817 | − | 1.24817i | 0.291642 | − | 0.956527i | \(-0.405798\pi\) |
0.956527 | − | 0.291642i | \(-0.0942017\pi\) | |||||||
\(594\) | −2.79842 | + | 6.97197i | −0.114820 | + | 0.286063i | ||||
\(595\) | −10.6059 | + | 6.12331i | −0.434799 | + | 0.251031i | ||||
\(596\) | 1.22039 | + | 23.2865i | 0.0499892 | + | 0.953850i | ||||
\(597\) | −10.9529 | + | 15.0753i | −0.448271 | + | 0.616993i | ||||
\(598\) | −9.53959 | + | 3.07764i | −0.390103 | + | 0.125854i | ||||
\(599\) | −5.48757 | + | 16.8890i | −0.224216 | + | 0.690066i | 0.774154 | + | 0.632997i | \(0.218176\pi\) |
−0.998370 | + | 0.0570692i | \(0.981824\pi\) | |||||||
\(600\) | −0.107774 | − | 0.0699892i | −0.00439985 | − | 0.00285730i | ||||
\(601\) | −4.05287 | + | 9.10289i | −0.165320 | + | 0.371315i | −0.977141 | − | 0.212591i | \(-0.931810\pi\) |
0.811821 | + | 0.583906i | \(0.198476\pi\) | |||||||
\(602\) | 16.0071 | − | 7.12680i | 0.652399 | − | 0.290467i | ||||
\(603\) | 6.91829 | + | 3.52505i | 0.281735 | + | 0.143551i | ||||
\(604\) | 57.6301 | − | 15.4420i | 2.34494 | − | 0.628324i | ||||
\(605\) | −5.61372 | − | 23.8205i | −0.228230 | − | 0.968441i | ||||
\(606\) | 30.7315 | + | 30.7315i | 1.24838 | + | 1.24838i | ||||
\(607\) | −3.85812 | + | 18.1510i | −0.156596 | + | 0.736727i | 0.827837 | + | 0.560968i | \(0.189571\pi\) |
−0.984433 | + | 0.175758i | \(0.943762\pi\) | |||||||
\(608\) | 4.37250 | + | 0.459569i | 0.177328 | + | 0.0186380i | ||||
\(609\) | −3.13999 | − | 8.17995i | −0.127239 | − | 0.331468i | ||||
\(610\) | −34.8182 | − | 11.3131i | −1.40975 | − | 0.458055i | ||||
\(611\) | 1.64507 | − | 15.3441i | 0.0665522 | − | 0.620757i | ||||
\(612\) | −4.57270 | − | 6.29378i | −0.184840 | − | 0.254411i | ||||
\(613\) | −7.59818 | + | 6.15289i | −0.306888 | + | 0.248513i | −0.770375 | − | 0.637591i | \(-0.779931\pi\) |
0.463488 | + | 0.886103i | \(0.346598\pi\) | |||||||
\(614\) | −3.93341 | + | 4.36850i | −0.158740 | + | 0.176298i | ||||
\(615\) | 8.79741 | − | 15.2376i | 0.354746 | − | 0.614438i | ||||
\(616\) | −15.0564 | − | 11.2922i | −0.606641 | − | 0.454976i | ||||
\(617\) | 8.87929 | + | 33.1380i | 0.357467 | + | 1.33408i | 0.877352 | + | 0.479848i | \(0.159308\pi\) |
−0.519885 | + | 0.854236i | \(0.674025\pi\) | |||||||
\(618\) | 31.1540 | − | 20.2317i | 1.25320 | − | 0.813837i | ||||
\(619\) | −6.35488 | − | 40.1232i | −0.255424 | − | 1.61269i | −0.698097 | − | 0.716003i | \(-0.745970\pi\) |
0.442673 | − | 0.896683i | \(-0.354030\pi\) | |||||||
\(620\) | −5.83579 | − | 55.5238i | −0.234371 | − | 2.22989i | ||||
\(621\) | −0.255178 | − | 1.20052i | −0.0102399 | − | 0.0481751i | ||||
\(622\) | −23.7286 | + | 36.5388i | −0.951429 | + | 1.46507i | ||||
\(623\) | −17.8382 | + | 12.9602i | −0.714672 | + | 0.519239i | ||||
\(624\) | −0.262550 | + | 1.63561i | −0.0105104 | + | 0.0654768i | ||||
\(625\) | 7.64713 | + | 23.5355i | 0.305885 | + | 0.941418i | ||||
\(626\) | −10.0652 | + | 37.5638i | −0.402286 | + | 1.50135i | ||||
\(627\) | −1.31843 | + | 1.96428i | −0.0526529 | + | 0.0784456i | ||||
\(628\) | −19.2836 | − | 11.1334i | −0.769499 | − | 0.444270i | ||||
\(629\) | −6.96448 | + | 13.6686i | −0.277692 | + | 0.545001i | ||||
\(630\) | 4.00083 | − | 10.4225i | 0.159397 | − | 0.415243i | ||||
\(631\) | 27.0119 | − | 33.3570i | 1.07533 | − | 1.32792i | 0.133791 | − | 0.991010i | \(-0.457285\pi\) |
0.941537 | − | 0.336910i | \(-0.109382\pi\) | |||||||
\(632\) | −3.79956 | + | 1.93597i | −0.151138 | + | 0.0770088i | ||||
\(633\) | −0.963463 | + | 0.867506i | −0.0382942 | + | 0.0344803i | ||||
\(634\) | −13.4602 | − | 5.99286i | −0.534573 | − | 0.238007i | ||||
\(635\) | 14.4119 | + | 17.7973i | 0.571920 | + | 0.706263i | ||||
\(636\) | 7.46443 | − | 2.42534i | 0.295984 | − | 0.0961709i | ||||
\(637\) | 0.410549 | − | 7.53338i | 0.0162665 | − | 0.298484i | ||||
\(638\) | −13.8901 | + | 26.2675i | −0.549913 | + | 1.03994i | ||||
\(639\) | 11.2061 | + | 3.00266i | 0.443306 | + | 0.118783i | ||||
\(640\) | 28.4653 | + | 25.6303i | 1.12519 | + | 1.01313i | ||||
\(641\) | −9.38972 | − | 21.0896i | −0.370871 | − | 0.832991i | −0.998514 | − | 0.0544896i | \(-0.982647\pi\) |
0.627643 | − | 0.778501i | \(-0.284020\pi\) | |||||||
\(642\) | −2.63966 | + | 16.6662i | −0.104179 | + | 0.657762i | ||||
\(643\) | 27.0524 | + | 1.41776i | 1.06684 | + | 0.0559109i | 0.577666 | − | 0.816273i | \(-0.303964\pi\) |
0.489177 | + | 0.872184i | \(0.337297\pi\) | |||||||
\(644\) | 8.50085 | + | 0.445511i | 0.334980 | + | 0.0175556i | ||||
\(645\) | 1.21530 | − | 7.67310i | 0.0478524 | − | 0.302128i | ||||
\(646\) | −1.63292 | − | 3.66760i | −0.0642464 | − | 0.144300i | ||||
\(647\) | −21.4538 | − | 19.3171i | −0.843435 | − | 0.759432i | 0.129238 | − | 0.991614i | \(-0.458747\pi\) |
−0.972672 | + | 0.232182i | \(0.925414\pi\) | |||||||
\(648\) | 2.47427 | + | 0.662978i | 0.0971985 | + | 0.0260442i | ||||
\(649\) | 21.7451 | − | 21.0948i | 0.853570 | − | 0.828045i | ||||
\(650\) | 0.305051 | − | 0.273521i | 0.0119651 | − | 0.0107284i | ||||
\(651\) | −16.8867 | + | 5.48681i | −0.661840 | + | 0.215045i | ||||
\(652\) | −32.1158 | − | 39.6597i | −1.25775 | − | 1.55319i | ||||
\(653\) | −28.9253 | − | 12.8784i | −1.13193 | − | 0.503970i | −0.246689 | − | 0.969095i | \(-0.579343\pi\) |
−0.885245 | + | 0.465125i | \(0.846009\pi\) | |||||||
\(654\) | 19.2192 | − | 17.3051i | 0.751531 | − | 0.676682i | ||||
\(655\) | −27.3674 | + | 13.9444i | −1.06933 | + | 0.544851i | ||||
\(656\) | 2.28662 | − | 2.82374i | 0.0892775 | − | 0.110249i | ||||
\(657\) | −0.137982 | + | 0.359455i | −0.00538319 | + | 0.0140237i | ||||
\(658\) | −9.75046 | + | 19.1364i | −0.380113 | + | 0.746013i | ||||
\(659\) | 37.2676 | + | 21.5164i | 1.45174 | + | 0.838161i | 0.998580 | − | 0.0532693i | \(-0.0169642\pi\) |
0.453158 | + | 0.891430i | \(0.350298\pi\) | |||||||
\(660\) | −21.6910 | + | 7.95083i | −0.844321 | + | 0.309486i | ||||
\(661\) | −2.44315 | + | 9.11794i | −0.0950273 | + | 0.354647i | −0.997024 | − | 0.0770970i | \(-0.975435\pi\) |
0.901996 | + | 0.431744i | \(0.142102\pi\) | |||||||
\(662\) | −10.8637 | − | 33.4350i | −0.422230 | − | 1.29949i | ||||
\(663\) | 8.37067 | − | 3.19320i | 0.325090 | − | 0.124014i | ||||
\(664\) | 14.3474 | − | 10.4240i | 0.556789 | − | 0.404531i | ||||
\(665\) | 1.91470 | − | 2.94838i | 0.0742490 | − | 0.114333i | ||||
\(666\) | −2.90754 | − | 13.6789i | −0.112665 | − | 0.530046i | ||||
\(667\) | −0.507419 | − | 4.82776i | −0.0196473 | − | 0.186932i | ||||
\(668\) | −10.1436 | − | 64.0440i | −0.392466 | − | 2.47794i | ||||
\(669\) | 6.08867 | − | 3.95403i | 0.235402 | − | 0.152872i | ||||
\(670\) | 10.1276 | + | 37.7965i | 0.391261 | + | 1.46021i | ||||
\(671\) | 19.7050 | − | 13.8645i | 0.760704 | − | 0.535235i | ||||
\(672\) | 6.82731 | − | 11.8253i | 0.263369 | − | 0.456169i | ||||
\(673\) | 7.78881 | − | 8.65035i | 0.300237 | − | 0.333447i | −0.574083 | − | 0.818797i | \(-0.694641\pi\) |
0.874320 | + | 0.485350i | \(0.161308\pi\) | |||||||
\(674\) | −24.3627 | + | 19.7285i | −0.938414 | + | 0.759913i | ||||
\(675\) | 0.0294875 | + | 0.0405861i | 0.00113497 | + | 0.00156216i | ||||
\(676\) | 37.1130 | + | 16.7095i | 1.42742 | + | 0.642671i | ||||
\(677\) | 42.3937 | + | 13.7745i | 1.62932 | + | 0.529399i | 0.974115 | − | 0.226051i | \(-0.0725817\pi\) |
0.655206 | + | 0.755450i | \(0.272582\pi\) | |||||||
\(678\) | 15.6348 | + | 40.7299i | 0.600449 | + | 1.56422i | ||||
\(679\) | −7.66564 | − | 0.805691i | −0.294180 | − | 0.0309196i | ||||
\(680\) | 2.94420 | − | 13.8514i | 0.112905 | − | 0.531176i | ||||
\(681\) | −1.87648 | − | 1.87648i | −0.0719070 | − | 0.0719070i | ||||
\(682\) | 51.6840 | + | 30.8950i | 1.97908 | + | 1.18303i | ||||
\(683\) | −24.4709 | + | 6.55695i | −0.936352 | + | 0.250895i | −0.694561 | − | 0.719434i | \(-0.744401\pi\) |
−0.241791 | + | 0.970328i | \(0.577735\pi\) | |||||||
\(684\) | 1.98981 | + | 1.01386i | 0.0760822 | + | 0.0387658i | ||||
\(685\) | −38.8699 | + | 17.3060i | −1.48514 | + | 0.661228i | ||||
\(686\) | −18.5576 | + | 41.6810i | −0.708532 | + | 1.59139i | ||||
\(687\) | 5.24936 | + | 3.40897i | 0.200276 | + | 0.130060i | ||||
\(688\) | 0.495759 | − | 1.52579i | 0.0189006 | − | 0.0581701i | ||||
\(689\) | 0.454233 | + | 9.02712i | 0.0173049 | + | 0.343906i | ||||
\(690\) | 3.63557 | − | 5.00394i | 0.138404 | − | 0.190497i | ||||
\(691\) | −0.188055 | − | 3.58830i | −0.00715395 | − | 0.136505i | −0.999871 | − | 0.0160392i | \(-0.994894\pi\) |
0.992717 | − | 0.120466i | \(-0.0384390\pi\) | |||||||
\(692\) | −18.4775 | + | 10.6680i | −0.702410 | + | 0.405536i | ||||
\(693\) | 3.90764 | + | 6.22198i | 0.148439 | + | 0.236353i | ||||
\(694\) | 3.99471 | − | 3.99471i | 0.151637 | − | 0.151637i | ||||
\(695\) | 1.78738 | + | 2.75232i | 0.0677991 | + | 0.104402i | ||||
\(696\) | 9.45851 | + | 3.63078i | 0.358524 | + | 0.137624i | ||||
\(697\) | −19.4088 | − | 3.07406i | −0.735163 | − | 0.116438i | ||||
\(698\) | −15.3875 | − | 17.0896i | −0.582427 | − | 0.646850i | ||||
\(699\) | 4.19976 | − | 0.892687i | 0.158850 | − | 0.0337645i | ||||
\(700\) | −0.324837 | + | 0.124693i | −0.0122777 | + | 0.00471296i | ||||
\(701\) | −16.5668 | − | 12.0365i | −0.625720 | − | 0.454612i | 0.229195 | − | 0.973381i | \(-0.426391\pi\) |
−0.854915 | + | 0.518768i | \(0.826391\pi\) | |||||||
\(702\) | −4.09827 | + | 7.06437i | −0.154679 | + | 0.266628i | ||||
\(703\) | − | 4.40370i | − | 0.166089i | ||||||
\(704\) | −42.4451 | + | 8.35077i | −1.59971 | + | 0.314732i | ||||
\(705\) | 4.76122 | + | 8.24667i | 0.179318 | + | 0.310587i | ||||
\(706\) | 21.6785 | + | 4.60790i | 0.815880 | + | 0.173421i | ||||
\(707\) | 41.9812 | − | 6.64916i | 1.57886 | − | 0.250068i | ||||
\(708\) | −22.2256 | − | 17.9979i | −0.835289 | − | 0.676404i | ||||
\(709\) | 1.16702 | − | 22.2681i | 0.0438284 | − | 0.836296i | −0.884956 | − | 0.465675i | \(-0.845812\pi\) |
0.928784 | − | 0.370621i | \(-0.120855\pi\) | |||||||
\(710\) | 26.5428 | + | 52.0932i | 0.996134 | + | 1.95502i | ||||
\(711\) | 1.65563 | − | 0.174014i | 0.0620910 | − | 0.00652603i | ||||
\(712\) | 2.66502 | − | 25.3559i | 0.0998757 | − | 0.950254i | ||||
\(713\) | −9.82369 | + | 0.514838i | −0.367900 | + | 0.0192808i | ||||
\(714\) | −12.4686 | −0.466624 | ||||||||
\(715\) | −2.32387 | − | 26.5033i | −0.0869080 | − | 0.991168i | ||||
\(716\) | −44.3401 | −1.65707 | ||||||||
\(717\) | −6.28100 | + | 0.329173i | −0.234568 | + | 0.0122932i | ||||
\(718\) | 5.34540 | − | 50.8581i | 0.199489 | − | 1.89801i | ||||
\(719\) | 36.2304 | − | 3.80797i | 1.35117 | − | 0.142013i | 0.598874 | − | 0.800843i | \(-0.295615\pi\) |
0.752292 | + | 0.658830i | \(0.228948\pi\) | |||||||
\(720\) | −0.464060 | − | 0.910770i | −0.0172945 | − | 0.0339424i | ||||
\(721\) | 1.90134 | − | 36.2796i | 0.0708094 | − | 1.35112i | ||||
\(722\) | −32.5509 | − | 26.3592i | −1.21142 | − | 0.980988i | ||||
\(723\) | 20.3427 | − | 3.22197i | 0.756554 | − | 0.119826i | ||||
\(724\) | 80.7725 | + | 17.1687i | 3.00189 | + | 0.638070i | ||||
\(725\) | 0.0992105 | + | 0.171838i | 0.00368458 | + | 0.00638189i | ||||
\(726\) | 7.17636 | − | 23.8607i | 0.266340 | − | 0.885554i | ||||
\(727\) | − | 6.36070i | − | 0.235905i | −0.993019 | − | 0.117953i | \(-0.962367\pi\) | ||
0.993019 | − | 0.117953i | \(-0.0376331\pi\) | |||||||
\(728\) | −14.4372 | − | 14.4975i | −0.535079 | − | 0.537314i | ||||
\(729\) | −0.809017 | − | 0.587785i | −0.0299636 | − | 0.0217698i | ||||
\(730\) | −1.81149 | + | 0.695364i | −0.0670461 | + | 0.0257366i | ||||
\(731\) | −8.48692 | + | 1.80395i | −0.313900 | + | 0.0667215i | ||||
\(732\) | −15.2189 | − | 16.9023i | −0.562508 | − | 0.624728i | ||||
\(733\) | 31.0343 | + | 4.91535i | 1.14628 | + | 0.181553i | 0.700542 | − | 0.713611i | \(-0.252942\pi\) |
0.445737 | + | 0.895164i | \(0.352942\pi\) | |||||||
\(734\) | 1.05210 | + | 0.403863i | 0.0388336 | + | 0.0149068i | ||||
\(735\) | 2.53552 | + | 3.90435i | 0.0935239 | + | 0.144014i | ||||
\(736\) | 5.34931 | − | 5.34931i | 0.197178 | − | 0.197178i | ||||
\(737\) | −23.8989 | − | 9.59258i | −0.880328 | − | 0.353347i | ||||
\(738\) | 15.5137 | − | 8.95683i | 0.571067 | − | 0.329706i | ||||
\(739\) | −1.64525 | − | 31.3932i | −0.0605215 | − | 1.15482i | −0.845036 | − | 0.534709i | \(-0.820421\pi\) |
0.784515 | − | 0.620110i | \(-0.212912\pi\) | |||||||
\(740\) | 25.2772 | − | 34.7911i | 0.929208 | − | 1.27895i | ||||
\(741\) | −1.72485 | + | 1.90764i | −0.0633641 | + | 0.0700787i | ||||
\(742\) | 3.88718 | − | 11.9635i | 0.142703 | − | 0.439194i | ||||
\(743\) | 11.1101 | + | 7.21500i | 0.407591 | + | 0.264693i | 0.732110 | − | 0.681187i | \(-0.238536\pi\) |
−0.324519 | + | 0.945879i | \(0.605202\pi\) | |||||||
\(744\) | 8.35070 | − | 18.7560i | 0.306152 | − | 0.687628i | ||||
\(745\) | 15.1377 | − | 6.73976i | 0.554604 | − | 0.246926i | ||||
\(746\) | −21.4832 | − | 10.9463i | −0.786557 | − | 0.400771i | ||||
\(747\) | −6.68740 | + | 1.79188i | −0.244679 | + | 0.0655616i | ||||
\(748\) | 16.9718 | + | 19.4343i | 0.620550 | + | 0.710588i | ||||
\(749\) | 11.6691 | + | 11.6691i | 0.426379 | + | 0.426379i | ||||
\(750\) | −5.29145 | + | 24.8943i | −0.193217 | + | 0.909012i | ||||
\(751\) | −25.3963 | − | 2.66926i | −0.926723 | − | 0.0974025i | −0.370872 | − | 0.928684i | \(-0.620941\pi\) |
−0.555851 | + | 0.831282i | \(0.687608\pi\) | |||||||
\(752\) | 0.704716 | + | 1.83585i | 0.0256984 | + | 0.0669465i | ||||
\(753\) | 3.79052 | + | 1.23161i | 0.138134 | + | 0.0448825i | ||||
\(754\) | −19.0413 | + | 26.0936i | −0.693442 | + | 0.950272i | ||||
\(755\) | −24.9205 | − | 34.3001i | −0.906949 | − | 1.24831i | ||||
\(756\) | 5.39010 | − | 4.36482i | 0.196036 | − | 0.158747i | ||||
\(757\) | 15.7578 | − | 17.5008i | 0.572727 | − | 0.636077i | −0.385288 | − | 0.922796i | \(-0.625898\pi\) |
0.958015 | + | 0.286719i | \(0.0925646\pi\) | |||||||
\(758\) | 7.11055 | − | 12.3158i | 0.258267 | − | 0.447331i | ||||
\(759\) | 1.19899 | + | 3.89003i | 0.0435205 | + | 0.141199i | ||||
\(760\) | 1.05211 | + | 3.92653i | 0.0381641 | + | 0.142430i | ||||
\(761\) | 25.2995 | − | 16.4297i | 0.917107 | − | 0.595576i | 0.00253396 | − | 0.999997i | \(-0.499193\pi\) |
0.914573 | + | 0.404420i | \(0.132527\pi\) | |||||||
\(762\) | 3.64739 | + | 23.0287i | 0.132131 | + | 0.834243i | ||||
\(763\) | −2.64383 | − | 25.1543i | −0.0957129 | − | 0.910648i | ||||
\(764\) | 4.45050 | + | 20.9380i | 0.161013 | + | 0.757509i | ||||
\(765\) | −3.01089 | + | 4.63636i | −0.108859 | + | 0.167628i | ||||
\(766\) | −15.0016 | + | 10.8993i | −0.542029 | + | 0.393807i | ||||
\(767\) | 26.6854 | − | 19.3032i | 0.963552 | − | 0.696999i | ||||
\(768\) | 3.99003 | + | 12.2800i | 0.143978 | + | 0.443118i | ||||
\(769\) | −3.61472 | + | 13.4903i | −0.130350 | + | 0.486473i | −0.999974 | − | 0.00724222i | \(-0.997695\pi\) |
0.869624 | + | 0.493715i | \(0.164361\pi\) | |||||||
\(770\) | −10.1250 | + | 35.6157i | −0.364879 | + | 1.28350i | ||||
\(771\) | −7.62902 | − | 4.40462i | −0.274753 | − | 0.158628i | ||||
\(772\) | −6.03517 | + | 11.8447i | −0.217211 | + | 0.426300i | ||||
\(773\) | 2.49421 | − | 6.49763i | 0.0897104 | − | 0.233704i | −0.881383 | − | 0.472401i | \(-0.843387\pi\) |
0.971094 | + | 0.238698i | \(0.0767206\pi\) | |||||||
\(774\) | 4.97763 | − | 6.14686i | 0.178917 | − | 0.220944i | ||||
\(775\) | 0.358267 | − | 0.182546i | 0.0128693 | − | 0.00655725i | ||||
\(776\) | 6.62338 | − | 5.96372i | 0.237765 | − | 0.214085i | ||||
\(777\) | −12.4943 | − | 5.56283i | −0.448231 | − | 0.199565i | ||||
\(778\) | 12.3415 | + | 15.2405i | 0.442464 | + | 0.546397i | ||||
\(779\) | 5.36491 | − | 1.74317i | 0.192218 | − | 0.0624554i | ||||
\(780\) | −24.5768 | + | 5.17047i | −0.879992 | + | 0.185133i | ||||
\(781\) | −37.9080 | − | 6.59528i | −1.35645 | − | 0.235998i | ||||
\(782\) | −6.67257 | − | 1.78791i | −0.238610 | − | 0.0639355i | ||||
\(783\) | −2.93928 | − | 2.64654i | −0.105041 | − | 0.0945797i | ||||
\(784\) | 0.391028 | + | 0.878264i | 0.0139653 | + | 0.0313666i | ||||
\(785\) | −2.47526 | + | 15.6282i | −0.0883459 | + | 0.557794i | ||||
\(786\) | −31.2289 | − | 1.63663i | −1.11390 | − | 0.0583768i | ||||
\(787\) | 10.5190 | + | 0.551275i | 0.374960 | + | 0.0196508i | 0.238886 | − | 0.971048i | \(-0.423218\pi\) |
0.136075 | + | 0.990699i | \(0.456551\pi\) | |||||||
\(788\) | −9.81672 | + | 61.9804i | −0.349706 | + | 2.20796i | ||||
\(789\) | −5.92684 | − | 13.3119i | −0.211001 | − | 0.473916i | ||||
\(790\) | 6.23466 | + | 5.61371i | 0.221819 | + | 0.199727i | ||||
\(791\) | 41.2137 | + | 11.0432i | 1.46539 | + | 0.392650i | ||||
\(792\) | −8.36997 | − | 1.45622i | −0.297414 | − | 0.0517445i | ||||
\(793\) | 23.3627 | − | 11.8426i | 0.829633 | − | 0.420544i | ||||
\(794\) | −76.8203 | + | 24.9604i | −2.72625 | + | 0.885812i | ||||
\(795\) | −3.50989 | − | 4.33436i | −0.124483 | − | 0.153724i | ||||
\(796\) | −53.2970 | − | 23.7294i | −1.88906 | − | 0.841065i | ||||
\(797\) | 11.8302 | − | 10.6519i | 0.419047 | − | 0.377311i | −0.432462 | − | 0.901652i | \(-0.642355\pi\) |
0.851508 | + | 0.524341i | \(0.175688\pi\) | |||||||
\(798\) | 3.18914 | − | 1.62495i | 0.112894 | − | 0.0575225i | ||||
\(799\) | 6.69291 | − | 8.26505i | 0.236778 | − | 0.292396i | ||||
\(800\) | −0.110815 | + | 0.288682i | −0.00391789 | + | 0.0102065i | ||||
\(801\) | −4.51865 | + | 8.86836i | −0.159659 | + | 0.313348i | ||||
\(802\) | 65.8240 | + | 38.0035i | 2.32433 | + | 1.34195i | ||||
\(803\) | 0.349193 | − | 1.22832i | 0.0123228 | − | 0.0433466i | ||||
\(804\) | −6.29184 | + | 23.4815i | −0.221896 | + | 0.828127i | ||||
\(805\) | −1.86927 | − | 5.75302i | −0.0658831 | − | 0.202767i | ||||
\(806\) | 50.7857 | + | 41.3010i | 1.78885 | + | 1.45476i | ||||
\(807\) | −17.2577 | + | 12.5385i | −0.607501 | + | 0.441376i | ||||
\(808\) | −26.7680 | + | 41.2191i | −0.941694 | + | 1.45008i | ||||
\(809\) | −2.42947 | − | 11.4298i | −0.0854157 | − | 0.401849i | 0.914581 | − | 0.404403i | \(-0.132521\pi\) |
−0.999997 | + | 0.00255335i | \(0.999187\pi\) | |||||||
\(810\) | −0.526775 | − | 5.01193i | −0.0185090 | − | 0.176101i | ||||
\(811\) | −0.474872 | − | 2.99822i | −0.0166750 | − | 0.105282i | 0.977947 | − | 0.208853i | \(-0.0669730\pi\) |
−0.994622 | + | 0.103571i | \(0.966973\pi\) | |||||||
\(812\) | 23.0067 | − | 14.9407i | 0.807375 | − | 0.524316i | ||||
\(813\) | −7.65565 | − | 28.5713i | −0.268495 | − | 1.00204i | ||||
\(814\) | 13.6615 | + | 44.3237i | 0.478835 | + | 1.55354i | ||||
\(815\) | −18.1321 | + | 31.4058i | −0.635141 | + | 1.10010i | ||||
\(816\) | −0.763895 | + | 0.848391i | −0.0267417 | + | 0.0296996i | ||||
\(817\) | 1.93564 | − | 1.56745i | 0.0677195 | − | 0.0548382i | ||||
\(818\) | 37.4771 | + | 51.5828i | 1.31036 | + | 1.80355i | ||||
\(819\) | 3.23354 | + | 7.30356i | 0.112989 | + | 0.255207i | ||||
\(820\) | 52.3907 | + | 17.0228i | 1.82956 | + | 0.594461i | ||||
\(821\) | 7.87605 | + | 20.5178i | 0.274876 | + | 0.716076i | 0.999633 | + | 0.0270722i | \(0.00861841\pi\) |
−0.724758 | + | 0.689004i | \(0.758048\pi\) | |||||||
\(822\) | −43.0821 | − | 4.52812i | −1.50266 | − | 0.157936i | ||||
\(823\) | −6.27972 | + | 29.5438i | −0.218897 | + | 1.02983i | 0.722197 | + | 0.691687i | \(0.243132\pi\) |
−0.941095 | + | 0.338143i | \(0.890201\pi\) | |||||||
\(824\) | 29.7041 | + | 29.7041i | 1.03479 | + | 1.03479i | ||||
\(825\) | −0.109444 | − | 0.125324i | −0.00381036 | − | 0.00436322i | ||||
\(826\) | −44.2749 | + | 11.8634i | −1.54052 | + | 0.412781i | ||||
\(827\) | 28.0772 | + | 14.3060i | 0.976340 | + | 0.497470i | 0.867957 | − | 0.496639i | \(-0.165433\pi\) |
0.108383 | + | 0.994109i | \(0.465433\pi\) | |||||||
\(828\) | 3.51041 | − | 1.56293i | 0.121995 | − | 0.0543157i | ||||
\(829\) | 5.13122 | − | 11.5249i | 0.178215 | − | 0.400277i | −0.802245 | − | 0.596994i | \(-0.796361\pi\) |
0.980460 | + | 0.196717i | \(0.0630282\pi\) | |||||||
\(830\) | −29.2614 | − | 19.0026i | −1.01568 | − | 0.659590i | ||||
\(831\) | −2.78004 | + | 8.55609i | −0.0964386 | + | 0.296808i | ||||
\(832\) | −46.9678 | + | 2.36336i | −1.62831 | + | 0.0819347i | ||||
\(833\) | 3.05613 | − | 4.20640i | 0.105889 | − | 0.145743i | ||||
\(834\) | 0.174867 | + | 3.33666i | 0.00605515 | + | 0.115539i | ||||
\(835\) | −39.9044 | + | 23.0388i | −1.38095 | + | 0.797291i | ||||
\(836\) | −6.87370 | − | 2.75897i | −0.237732 | − | 0.0954211i | ||||
\(837\) | −5.66750 | + | 5.66750i | −0.195897 | + | 0.195897i | ||||
\(838\) | 5.65486 | + | 8.70772i | 0.195344 | + | 0.300803i | ||||
\(839\) | −40.3468 | − | 15.4877i | −1.39293 | − | 0.534695i | −0.457816 | − | 0.889047i | \(-0.651368\pi\) |
−0.935112 | + | 0.354352i | \(0.884701\pi\) | |||||||
\(840\) | 12.4695 | + | 1.97498i | 0.430239 | + | 0.0681431i | ||||
\(841\) | 8.93719 | + | 9.92576i | 0.308179 | + | 0.342268i | ||||
\(842\) | 82.1452 | − | 17.4605i | 2.83091 | − | 0.601728i | ||||
\(843\) | 22.1312 | − | 8.49538i | 0.762239 | − | 0.292596i | ||||
\(844\) | −3.28384 | − | 2.38585i | −0.113035 | − | 0.0821244i | ||||
\(845\) | 1.63404 | − | 28.8765i | 0.0562128 | − | 0.993381i | ||||
\(846\) | 9.69500i | 0.333321i | ||||||||
\(847\) | −14.7536 | − | 19.3944i | −0.506939 | − | 0.666398i | ||||
\(848\) | −0.575876 | − | 0.997447i | −0.0197757 | − | 0.0342525i | ||||
\(849\) | −24.4732 | − | 5.20193i | −0.839917 | − | 0.178530i | ||||
\(850\) | 0.278885 | − | 0.0441710i | 0.00956567 | − | 0.00151505i | ||||
\(851\) | −5.88868 | − | 4.76856i | −0.201861 | − | 0.163464i | ||||
\(852\) | −1.90096 | + | 36.2725i | −0.0651259 | + | 1.24268i | ||||
\(853\) | −23.2784 | − | 45.6865i | −0.797038 | − | 1.56428i | −0.825313 | − | 0.564676i | \(-0.809001\pi\) |
0.0282745 | − | 0.999600i | \(-0.490999\pi\) | |||||||
\(854\) | −36.2535 | + | 3.81040i | −1.24057 | + | 0.130389i | ||||
\(855\) | 0.165881 | − | 1.57825i | 0.00567301 | − | 0.0539751i | ||||
\(856\) | −19.0559 | + | 0.998675i | −0.651316 | + | 0.0341340i | ||||
\(857\) | −54.4754 | −1.86084 | −0.930421 | − | 0.366491i | \(-0.880559\pi\) | ||||
−0.930421 | + | 0.366491i | \(0.880559\pi\) | |||||||
\(858\) | 11.4428 | − | 24.5515i | 0.390651 | − | 0.838174i | ||||
\(859\) | 15.7500 | 0.537385 | 0.268692 | − | 0.963226i | \(-0.413409\pi\) | ||||
0.268692 | + | 0.963226i | \(0.413409\pi\) | |||||||
\(860\) | 24.2895 | − | 1.27296i | 0.828265 | − | 0.0434075i | ||||
\(861\) | 1.83128 | − | 17.4235i | 0.0624099 | − | 0.593790i | ||||
\(862\) | −50.2774 | + | 5.28436i | −1.71245 | + | 0.179986i | ||||
\(863\) | 7.59548 | + | 14.9070i | 0.258553 | + | 0.507439i | 0.983395 | − | 0.181476i | \(-0.0580874\pi\) |
−0.724842 | + | 0.688915i | \(0.758087\pi\) | |||||||
\(864\) | 0.322589 | − | 6.15536i | 0.0109747 | − | 0.209410i | ||||
\(865\) | 11.7828 | + | 9.54150i | 0.400626 | + | 0.324421i | ||||
\(866\) | −54.1970 | + | 8.58397i | −1.84169 | + | 0.291695i | ||||
\(867\) | −10.5892 | − | 2.25081i | −0.359629 | − | 0.0764415i | ||||
\(868\) | −27.7953 | − | 48.1428i | −0.943433 | − | 1.63407i | ||||
\(869\) | −5.41750 | + | 1.06586i | −0.183776 | + | 0.0361567i | ||||
\(870\) | − | 19.9323i | − | 0.675770i | ||||||
\(871\) | −24.2157 | − | 14.0483i | −0.820517 | − | 0.476008i | ||||
\(872\) | 23.6607 | + | 17.1905i | 0.801254 | + | 0.582145i | ||||
\(873\) | −3.24829 | + | 1.24690i | −0.109938 | + | 0.0422012i | ||||
\(874\) | 1.93968 | − | 0.412292i | 0.0656106 | − | 0.0139460i | ||||
\(875\) | 16.6549 | + | 18.4972i | 0.563039 | + | 0.625318i | ||||
\(876\) | −1.19063 | − | 0.188577i | −0.0402276 | − | 0.00637143i | ||||
\(877\) | −9.66292 | − | 3.70925i | −0.326294 | − | 0.125252i | 0.189707 | − | 0.981841i | \(-0.439246\pi\) |
−0.516000 | + | 0.856588i | \(0.672580\pi\) | |||||||
\(878\) | 11.8466 | + | 18.2422i | 0.399804 | + | 0.615644i | ||||
\(879\) | 14.7465 | − | 14.7465i | 0.497386 | − | 0.497386i | ||||
\(880\) | 1.80307 | + | 2.87095i | 0.0607813 | + | 0.0967797i | ||||
\(881\) | −12.5665 | + | 7.25529i | −0.423377 | + | 0.244437i | −0.696521 | − | 0.717536i | \(-0.745270\pi\) |
0.273144 | + | 0.961973i | \(0.411936\pi\) | |||||||
\(882\) | 0.248060 | + | 4.73328i | 0.00835263 | + | 0.159378i | ||||
\(883\) | −24.2707 | + | 33.4057i | −0.816772 | + | 1.12419i | 0.173471 | + | 0.984839i | \(0.444502\pi\) |
−0.990243 | + | 0.139352i | \(0.955498\pi\) | |||||||
\(884\) | 15.2278 | + | 23.5561i | 0.512167 | + | 0.792277i | ||||
\(885\) | −6.28008 | + | 19.3281i | −0.211103 | + | 0.649707i | ||||
\(886\) | 9.02101 | + | 5.85832i | 0.303067 | + | 0.196814i | ||||
\(887\) | 11.0447 | − | 24.8068i | 0.370845 | − | 0.832931i | −0.627672 | − | 0.778478i | \(-0.715992\pi\) |
0.998516 | − | 0.0544525i | \(-0.0173413\pi\) | |||||||
\(888\) | 14.4472 | − | 6.43232i | 0.484817 | − | 0.215855i | ||||
\(889\) | 20.3173 | + | 10.3522i | 0.681422 | + | 0.347202i | ||||
\(890\) | −48.4503 | + | 12.9822i | −1.62406 | + | 0.435165i | ||||
\(891\) | 2.84678 | + | 1.70171i | 0.0953708 | + | 0.0570096i | ||||
\(892\) | 16.0724 | + | 16.0724i | 0.538142 | + | 0.538142i | ||||
\(893\) | −0.634743 | + | 2.98623i | −0.0212409 | + | 0.0999305i | ||||
\(894\) | 16.7782 | + | 1.76346i | 0.561146 | + | 0.0589789i | ||||
\(895\) | 11.2917 | + | 29.4158i | 0.377439 | + | 0.983262i | ||||
\(896\) | 36.2731 | + | 11.7858i | 1.21180 | + | 0.393737i | ||||
\(897\) | 0.683150 | + | 4.37218i | 0.0228097 | + | 0.145983i | ||||
\(898\) | 13.5475 | + | 18.6465i | 0.452085 | + | 0.622242i | ||||
\(899\) | −24.6364 | + | 19.9502i | −0.821670 | + | 0.665375i | ||||
\(900\) | −0.105098 | + | 0.116723i | −0.00350326 | + | 0.00389077i | ||||
\(901\) | −3.11449 | + | 5.39446i | −0.103759 | + | 0.179715i | ||||
\(902\) | −48.5905 | + | 34.1885i | −1.61789 | + | 1.13835i | ||||
\(903\) | −2.00208 | − | 7.47188i | −0.0666252 | − | 0.248649i | ||||
\(904\) | −41.3772 | + | 26.8707i | −1.37619 | + | 0.893706i | ||||
\(905\) | −9.17959 | − | 57.9577i | −0.305140 | − | 1.92658i | ||||
\(906\) | −4.51203 | − | 42.9291i | −0.149902 | − | 1.42622i | ||||
\(907\) | −4.18497 | − | 19.6888i | −0.138960 | − | 0.653754i | −0.991393 | − | 0.130918i | \(-0.958207\pi\) |
0.852433 | − | 0.522836i | \(-0.175126\pi\) | |||||||
\(908\) | 4.52514 | − | 6.96810i | 0.150172 | − | 0.231245i | ||||
\(909\) | 15.5225 | − | 11.2777i | 0.514849 | − | 0.374059i | ||||
\(910\) | −16.4487 | + | 36.7383i | −0.545271 | + | 1.21786i | ||||
\(911\) | 14.1466 | + | 43.5389i | 0.468699 | + | 1.44251i | 0.854270 | + | 0.519829i | \(0.174004\pi\) |
−0.385571 | + | 0.922678i | \(0.625996\pi\) | |||||||
\(912\) | 0.0848194 | − | 0.316550i | 0.00280865 | − | 0.0104820i | ||||
\(913\) | 21.5593 | − | 7.90256i | 0.713509 | − | 0.261537i | ||||
\(914\) | 38.8913 | + | 22.4539i | 1.28641 | + | 0.742710i | ||||
\(915\) | −7.33756 | + | 14.4008i | −0.242572 | + | 0.476075i | ||||
\(916\) | −7.02275 | + | 18.2949i | −0.232038 | + | 0.604480i | ||||
\(917\) | −19.2468 | + | 23.7679i | −0.635586 | + | 0.784884i | ||||
\(918\) | −5.01495 | + | 2.55524i | −0.165518 | + | 0.0843356i | ||||
\(919\) | −30.3228 | + | 27.3027i | −1.00026 | + | 0.900635i | −0.995052 | − | 0.0993519i | \(-0.968323\pi\) |
−0.00520368 | + | 0.999986i | \(0.501656\pi\) | |||||||
\(920\) | 6.38987 | + | 2.84496i | 0.210668 | + | 0.0937954i | ||||
\(921\) | 1.63318 | + | 2.01681i | 0.0538153 | + | 0.0664563i | ||||
\(922\) | 12.5600 | − | 4.08099i | 0.413642 | − | 0.134400i | ||||
\(923\) | −39.7551 | − | 13.0089i | −1.30856 | − | 0.428192i | ||||
\(924\) | −16.5108 | + | 16.0171i | −0.543165 | + | 0.526923i | ||||
\(925\) | 0.299168 | + | 0.0801617i | 0.00983657 | + | 0.00263570i | ||||
\(926\) | 8.85797 | + | 7.97575i | 0.291091 | + | 0.262100i | ||||
\(927\) | −6.67023 | − | 14.9816i | −0.219079 | − | 0.492060i | ||||
\(928\) | 3.81373 | − | 24.0789i | 0.125192 | − | 0.790429i | ||||
\(929\) | 57.0019 | + | 2.98734i | 1.87017 | + | 0.0980115i | 0.953456 | − | 0.301532i | \(-0.0974981\pi\) |
0.916714 | + | 0.399544i | \(0.130831\pi\) | |||||||
\(930\) | −40.3368 | − | 2.11396i | −1.32270 | − | 0.0693195i | ||||
\(931\) | −0.233486 | + | 1.47417i | −0.00765221 | + | 0.0483141i | ||||
\(932\) | 5.46760 | + | 12.2804i | 0.179097 | + | 0.402259i | ||||
\(933\) | 14.2936 | + | 12.8700i | 0.467951 | + | 0.421345i | ||||
\(934\) | −80.2995 | − | 21.5162i | −2.62748 | − | 0.704031i | ||||
\(935\) | 8.57092 | − | 16.2084i | 0.280299 | − | 0.530072i | ||||
\(936\) | −8.77781 | − | 2.87232i | −0.286912 | − | 0.0938846i | ||||
\(937\) | 34.0696 | − | 11.0699i | 1.11301 | − | 0.361638i | 0.305912 | − | 0.952060i | \(-0.401039\pi\) |
0.807095 | + | 0.590422i | \(0.201039\pi\) | |||||||
\(938\) | 24.5197 | + | 30.2793i | 0.800597 | + | 0.988655i | ||||
\(939\) | 15.6841 | + | 6.98303i | 0.511833 | + | 0.227883i | ||||
\(940\) | −22.1557 | + | 19.9490i | −0.722638 | + | 0.650666i | ||||
\(941\) | 34.7732 | − | 17.7178i | 1.13357 | − | 0.577584i | 0.216492 | − | 0.976284i | \(-0.430539\pi\) |
0.917081 | + | 0.398700i | \(0.130539\pi\) | |||||||
\(942\) | −10.1382 | + | 12.5196i | −0.330320 | + | 0.407911i | ||||
\(943\) | 3.47842 | − | 9.06160i | 0.113273 | − | 0.295086i | ||||
\(944\) | −1.90532 | + | 3.73939i | −0.0620127 | + | 0.121707i | ||||
\(945\) | −4.26832 | − | 2.46431i | −0.138848 | − | 0.0801641i | ||||
\(946\) | −14.6197 | + | 21.7814i | −0.475329 | + | 0.708175i | ||||
\(947\) | 9.58522 | − | 35.7725i | 0.311478 | − | 1.16245i | −0.615746 | − | 0.787944i | \(-0.711145\pi\) |
0.927224 | − | 0.374507i | \(-0.122188\pi\) | |||||||
\(948\) | 1.61063 | + | 4.95700i | 0.0523107 | + | 0.160996i | ||||
\(949\) | 0.567289 | − | 1.26704i | 0.0184150 | − | 0.0411299i | ||||
\(950\) | −0.0655751 | + | 0.0476431i | −0.00212754 | + | 0.00154575i | ||||
\(951\) | −3.54270 | + | 5.45529i | −0.114880 | + | 0.176900i | ||||
\(952\) | −2.93159 | − | 13.7920i | −0.0950134 | − | 0.447003i | ||||
\(953\) | −3.15369 | − | 30.0053i | −0.102158 | − | 0.971968i | −0.918773 | − | 0.394786i | \(-0.870819\pi\) |
0.816615 | − | 0.577183i | \(-0.195848\pi\) | |||||||
\(954\) | −0.888289 | − | 5.60843i | −0.0287594 | − | 0.181580i | ||||
\(955\) | 12.7571 | − | 8.28458i | 0.412811 | − | 0.268083i | ||||
\(956\) | −5.09664 | − | 19.0209i | −0.164837 | − | 0.615180i | ||||
\(957\) | 10.4944 | + | 7.87069i | 0.339235 | + | 0.254423i | ||||
\(958\) | 5.75941 | − | 9.97560i | 0.186078 | − | 0.322297i | ||||
\(959\) | −28.3485 | + | 31.4842i | −0.915420 | + | 1.01668i | ||||
\(960\) | 22.5515 | − | 18.2618i | 0.727846 | − | 0.589398i | ||||
\(961\) | 19.5386 | + | 26.8926i | 0.630279 | + | 0.867504i | ||||
\(962\) | 7.78392 | + | 49.8173i | 0.250964 | + | 1.60618i | ||||
\(963\) | 7.08480 | + | 2.30199i | 0.228304 | + | 0.0741806i | ||||
\(964\) | 23.1090 | + | 60.2011i | 0.744292 | + | 1.93895i | ||||
\(965\) | 9.39484 | + | 0.987437i | 0.302430 | + | 0.0317867i | ||||
\(966\) | 1.28047 | − | 6.02413i | 0.0411984 | − | 0.193823i | ||||
\(967\) | −3.49727 | − | 3.49727i | −0.112465 | − | 0.112465i | 0.648635 | − | 0.761100i | \(-0.275340\pi\) |
−0.761100 | + | 0.648635i | \(0.775340\pi\) | |||||||
\(968\) | 28.0807 | + | 2.32800i | 0.902549 | + | 0.0748249i | ||||
\(969\) | −1.71199 | + | 0.458726i | −0.0549970 | + | 0.0147364i | ||||
\(970\) | −15.6234 | − | 7.96050i | −0.501636 | − | 0.255596i | ||||
\(971\) | 26.2108 | − | 11.6698i | 0.841144 | − | 0.374501i | 0.0595014 | − | 0.998228i | \(-0.481049\pi\) |
0.781642 | + | 0.623727i | \(0.214382\pi\) | |||||||
\(972\) | 1.27343 | − | 2.86018i | 0.0408454 | − | 0.0917404i | ||||
\(973\) | 2.74053 | + | 1.77972i | 0.0878574 | + | 0.0570553i | ||||
\(974\) | −15.0221 | + | 46.2333i | −0.481339 | + | 1.48141i | ||||
\(975\) | −0.0981982 | − | 0.151904i | −0.00314486 | − | 0.00486482i | ||||
\(976\) | −1.96183 | + | 2.70023i | −0.0627966 | + | 0.0864321i | ||||
\(977\) | −2.06007 | − | 39.3084i | −0.0659074 | − | 1.25759i | −0.808763 | − | 0.588135i | \(-0.799862\pi\) |
0.742855 | − | 0.669452i | \(-0.233471\pi\) | |||||||
\(978\) | −31.9749 | + | 18.4607i | −1.02245 | + | 0.590309i | ||||
\(979\) | 12.2964 | − | 30.6353i | 0.392996 | − | 0.979109i | ||||
\(980\) | −10.3064 | + | 10.3064i | −0.329225 | + | 0.329225i | ||||
\(981\) | −6.21837 | − | 9.57545i | −0.198537 | − | 0.305720i | ||||
\(982\) | 68.4848 | + | 26.2888i | 2.18544 | + | 0.838911i | ||||
\(983\) | 4.77441 | + | 0.756193i | 0.152280 | + | 0.0241188i | 0.232109 | − | 0.972690i | \(-0.425437\pi\) |
−0.0798289 | + | 0.996809i | \(0.525437\pi\) | |||||||
\(984\) | 13.5551 | + | 15.0545i | 0.432122 | + | 0.479920i | ||||
\(985\) | 43.6185 | − | 9.27139i | 1.38980 | − | 0.295411i | ||||
\(986\) | −20.7828 | + | 7.97779i | −0.661861 | + | 0.254064i | ||||
\(987\) | 7.67081 | + | 5.57317i | 0.244164 | + | 0.177396i | ||||
\(988\) | −6.96480 | − | 4.04050i | −0.221580 | − | 0.128545i | ||||
\(989\) | − | 4.28567i | − | 0.136277i | ||||||
\(990\) | 3.22656 | + | 16.3999i | 0.102547 | + | 0.521221i | ||||
\(991\) | 22.2009 | + | 38.4530i | 0.705234 | + | 1.22150i | 0.966607 | + | 0.256263i | \(0.0824912\pi\) |
−0.261374 | + | 0.965238i | \(0.584175\pi\) | |||||||
\(992\) | −48.3237 | − | 10.2715i | −1.53428 | − | 0.326121i | ||||
\(993\) | −15.3292 | + | 2.42791i | −0.486458 | + | 0.0770474i | ||||
\(994\) | 45.2416 | + | 36.6360i | 1.43498 | + | 1.16202i | ||||
\(995\) | −2.16973 | + | 41.4008i | −0.0687850 | + | 1.31250i | ||||
\(996\) | −9.84065 | − | 19.3134i | −0.311813 | − | 0.611967i | ||||
\(997\) | −45.3601 | + | 4.76754i | −1.43657 | + | 0.150989i | −0.790580 | − | 0.612359i | \(-0.790221\pi\) |
−0.645988 | + | 0.763348i | \(0.723554\pi\) | |||||||
\(998\) | 8.98472 | − | 85.4839i | 0.284406 | − | 2.70595i | ||||
\(999\) | −6.16532 | + | 0.323111i | −0.195062 | + | 0.0102228i |
(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 | 429.2.bs.a.28.12 | ✓ | 224 | |
11.2 | odd | 10 | inner | 429.2.bs.a.145.12 | yes | 224 | |
13.7 | odd | 12 | inner | 429.2.bs.a.358.12 | yes | 224 | |
143.46 | even | 60 | inner | 429.2.bs.a.46.12 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bs.a.28.12 | ✓ | 224 | 1.1 | even | 1 | trivial | |
429.2.bs.a.46.12 | yes | 224 | 143.46 | even | 60 | inner | |
429.2.bs.a.145.12 | yes | 224 | 11.2 | odd | 10 | inner | |
429.2.bs.a.358.12 | yes | 224 | 13.7 | odd | 12 | inner |