Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(13,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([27, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.bd (of order \(36\), degree \(12\), 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: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 187.4 | ||
Character | \(\chi\) | \(=\) | 370.187 |
Dual form | 370.2.bd.a.93.4 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{1}{36}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.642788 | + | 0.766044i | 0.454519 | + | 0.541675i | ||||
\(3\) | −0.0651873 | − | 0.745094i | −0.0376359 | − | 0.430180i | −0.991515 | − | 0.129990i | \(-0.958505\pi\) |
0.953879 | − | 0.300190i | \(-0.0970502\pi\) | |||||||
\(4\) | −0.173648 | + | 0.984808i | −0.0868241 | + | 0.492404i | ||||
\(5\) | −2.09519 | − | 0.781138i | −0.936998 | − | 0.349335i | ||||
\(6\) | 0.528874 | − | 0.528874i | 0.215912 | − | 0.215912i | ||||
\(7\) | 2.75168 | + | 1.28313i | 1.04004 | + | 0.484977i | 0.866147 | − | 0.499789i | \(-0.166589\pi\) |
0.173888 | + | 0.984765i | \(0.444367\pi\) | |||||||
\(8\) | −0.866025 | + | 0.500000i | −0.306186 | + | 0.176777i | ||||
\(9\) | 2.40351 | − | 0.423803i | 0.801169 | − | 0.141268i | ||||
\(10\) | −0.748377 | − | 2.10711i | −0.236657 | − | 0.666328i | ||||
\(11\) | 1.52322 | − | 0.879430i | 0.459267 | − | 0.265158i | −0.252469 | − | 0.967605i | \(-0.581243\pi\) |
0.711736 | + | 0.702447i | \(0.247909\pi\) | |||||||
\(12\) | 0.745094 | + | 0.0651873i | 0.215090 | + | 0.0188180i | ||||
\(13\) | 3.66051 | + | 0.645446i | 1.01524 | + | 0.179015i | 0.656424 | − | 0.754393i | \(-0.272068\pi\) |
0.358819 | + | 0.933407i | \(0.383180\pi\) | |||||||
\(14\) | 0.785810 | + | 2.93268i | 0.210017 | + | 0.783793i | ||||
\(15\) | −0.445441 | + | 1.61204i | −0.115012 | + | 0.416226i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | 0.0811484 | + | 0.460215i | 0.0196814 | + | 0.111619i | 0.993066 | − | 0.117560i | \(-0.0375072\pi\) |
−0.973384 | + | 0.229178i | \(0.926396\pi\) | |||||||
\(18\) | 1.86960 | + | 1.56878i | 0.440668 | + | 0.369764i | ||||
\(19\) | 0.211508 | + | 2.41755i | 0.0485233 | + | 0.554624i | 0.981080 | + | 0.193601i | \(0.0620168\pi\) |
−0.932557 | + | 0.361023i | \(0.882428\pi\) | |||||||
\(20\) | 1.13310 | − | 1.92772i | 0.253368 | − | 0.431051i | ||||
\(21\) | 0.776677 | − | 2.13390i | 0.169485 | − | 0.465656i | ||||
\(22\) | 1.65279 | + | 0.601565i | 0.352375 | + | 0.128254i | ||||
\(23\) | 1.53833 | + | 0.888156i | 0.320764 | + | 0.185193i | 0.651733 | − | 0.758448i | \(-0.274042\pi\) |
−0.330969 | + | 0.943642i | \(0.607376\pi\) | |||||||
\(24\) | 0.429001 | + | 0.612677i | 0.0875695 | + | 0.125062i | ||||
\(25\) | 3.77965 | + | 3.27326i | 0.755930 | + | 0.654653i | ||||
\(26\) | 1.85849 | + | 3.21900i | 0.364480 | + | 0.631297i | ||||
\(27\) | −1.05320 | − | 3.93058i | −0.202688 | − | 0.756440i | ||||
\(28\) | −1.74146 | + | 2.48706i | −0.329104 | + | 0.470010i | ||||
\(29\) | −3.50408 | − | 0.938915i | −0.650691 | − | 0.174352i | −0.0816497 | − | 0.996661i | \(-0.526019\pi\) |
−0.569041 | + | 0.822309i | \(0.692686\pi\) | |||||||
\(30\) | −1.52121 | + | 0.694968i | −0.277735 | + | 0.126883i | ||||
\(31\) | −0.755831 | − | 0.755831i | −0.135751 | − | 0.135751i | 0.635966 | − | 0.771717i | \(-0.280602\pi\) |
−0.771717 | + | 0.635966i | \(0.780602\pi\) | |||||||
\(32\) | −0.342020 | − | 0.939693i | −0.0604612 | − | 0.166116i | ||||
\(33\) | −0.754553 | − | 1.07761i | −0.131351 | − | 0.187588i | ||||
\(34\) | −0.300384 | + | 0.357984i | −0.0515155 | + | 0.0613937i | ||||
\(35\) | −4.76299 | − | 4.83783i | −0.805092 | − | 0.817743i | ||||
\(36\) | 2.44058i | 0.406764i | ||||||||
\(37\) | 2.60408 | − | 5.49716i | 0.428108 | − | 0.903728i | ||||
\(38\) | −1.71600 | + | 1.71600i | −0.278371 | + | 0.278371i | ||||
\(39\) | 0.242300 | − | 2.76950i | 0.0387990 | − | 0.443475i | ||||
\(40\) | 2.20506 | − | 0.371110i | 0.348650 | − | 0.0586777i | ||||
\(41\) | −6.02913 | − | 1.06310i | −0.941592 | − | 0.166028i | −0.318276 | − | 0.947998i | \(-0.603104\pi\) |
−0.623316 | + | 0.781970i | \(0.714215\pi\) | |||||||
\(42\) | 2.13390 | − | 0.776677i | 0.329268 | − | 0.119844i | ||||
\(43\) | 0.539434i | 0.0822629i | 0.999154 | + | 0.0411314i | \(0.0130962\pi\) | ||||
−0.999154 | + | 0.0411314i | \(0.986904\pi\) | |||||||
\(44\) | 0.601565 | + | 1.65279i | 0.0906894 | + | 0.249167i | ||||
\(45\) | −5.36685 | − | 0.989521i | −0.800043 | − | 0.147509i | ||||
\(46\) | 0.308453 | + | 1.74933i | 0.0454790 | + | 0.257924i | ||||
\(47\) | −4.57313 | + | 1.22537i | −0.667060 | + | 0.178738i | −0.576430 | − | 0.817146i | \(-0.695555\pi\) |
−0.0906299 | + | 0.995885i | \(0.528888\pi\) | |||||||
\(48\) | −0.193581 | + | 0.722455i | −0.0279411 | + | 0.104277i | ||||
\(49\) | 1.42579 | + | 1.69919i | 0.203684 | + | 0.242741i | ||||
\(50\) | −0.0779548 | + | 4.99939i | −0.0110245 | + | 0.707021i | ||||
\(51\) | 0.337614 | − | 0.0904634i | 0.0472754 | − | 0.0126674i | ||||
\(52\) | −1.27128 | + | 3.49282i | −0.176295 | + | 0.484367i | ||||
\(53\) | −3.31600 | + | 1.54628i | −0.455487 | + | 0.212397i | −0.636801 | − | 0.771028i | \(-0.719743\pi\) |
0.181314 | + | 0.983425i | \(0.441965\pi\) | |||||||
\(54\) | 2.33402 | − | 3.33332i | 0.317619 | − | 0.453608i | ||||
\(55\) | −3.87839 | + | 0.652731i | −0.522961 | + | 0.0880142i | ||||
\(56\) | −3.02458 | + | 0.264617i | −0.404177 | + | 0.0353609i | ||||
\(57\) | 1.78752 | − | 0.315187i | 0.236762 | − | 0.0417476i | ||||
\(58\) | −1.53313 | − | 3.28780i | −0.201310 | − | 0.431710i | ||||
\(59\) | −2.77453 | − | 5.95000i | −0.361213 | − | 0.774623i | −0.999986 | − | 0.00522855i | \(-0.998336\pi\) |
0.638774 | − | 0.769395i | \(-0.279442\pi\) | |||||||
\(60\) | −1.51019 | − | 0.718601i | −0.194965 | − | 0.0927710i | ||||
\(61\) | −11.1701 | + | 7.82136i | −1.43018 | + | 1.00142i | −0.435308 | + | 0.900281i | \(0.643361\pi\) |
−0.994872 | + | 0.101142i | \(0.967750\pi\) | |||||||
\(62\) | 0.0931613 | − | 1.06484i | 0.0118315 | − | 0.135235i | ||||
\(63\) | 7.15746 | + | 1.91784i | 0.901756 | + | 0.241625i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | −7.16528 | − | 4.21169i | −0.888744 | − | 0.522396i | ||||
\(66\) | 0.340482 | − | 1.27070i | 0.0419105 | − | 0.156412i | ||||
\(67\) | 2.55532 | − | 5.47990i | 0.312182 | − | 0.669476i | −0.686135 | − | 0.727474i | \(-0.740694\pi\) |
0.998317 | + | 0.0579981i | \(0.0184717\pi\) | |||||||
\(68\) | −0.467315 | −0.0566703 | ||||||||
\(69\) | 0.561480 | − | 1.20410i | 0.0675943 | − | 0.144956i | ||||
\(70\) | 0.644407 | − | 6.75836i | 0.0770214 | − | 0.807778i | ||||
\(71\) | 7.04380 | + | 5.91045i | 0.835945 | + | 0.701441i | 0.956648 | − | 0.291247i | \(-0.0940703\pi\) |
−0.120702 | + | 0.992689i | \(0.538515\pi\) | |||||||
\(72\) | −1.86960 | + | 1.56878i | −0.220334 | + | 0.184882i | ||||
\(73\) | 2.93388 | + | 2.93388i | 0.343385 | + | 0.343385i | 0.857638 | − | 0.514254i | \(-0.171931\pi\) |
−0.514254 | + | 0.857638i | \(0.671931\pi\) | |||||||
\(74\) | 5.88494 | − | 1.53867i | 0.684110 | − | 0.178866i | ||||
\(75\) | 2.19251 | − | 3.02957i | 0.253169 | − | 0.349825i | ||||
\(76\) | −2.41755 | − | 0.211508i | −0.277312 | − | 0.0242617i | ||||
\(77\) | 5.31982 | − | 0.465424i | 0.606250 | − | 0.0530400i | ||||
\(78\) | 2.27731 | − | 1.59459i | 0.257854 | − | 0.180552i | ||||
\(79\) | −7.25157 | − | 3.38146i | −0.815866 | − | 0.380444i | −0.0305449 | − | 0.999533i | \(-0.509724\pi\) |
−0.785321 | + | 0.619089i | \(0.787502\pi\) | |||||||
\(80\) | 1.70167 | + | 1.45063i | 0.190253 | + | 0.162185i | ||||
\(81\) | 4.02020 | − | 1.46323i | 0.446689 | − | 0.162582i | ||||
\(82\) | −3.06107 | − | 5.30193i | −0.338038 | − | 0.585500i | ||||
\(83\) | 2.64327 | + | 1.85084i | 0.290137 | + | 0.203156i | 0.709579 | − | 0.704626i | \(-0.248885\pi\) |
−0.419442 | + | 0.907782i | \(0.637774\pi\) | |||||||
\(84\) | 1.96661 | + | 1.13543i | 0.214575 | + | 0.123885i | ||||
\(85\) | 0.189470 | − | 1.02763i | 0.0205509 | − | 0.111462i | ||||
\(86\) | −0.413230 | + | 0.346741i | −0.0445598 | + | 0.0373901i | ||||
\(87\) | −0.471159 | + | 2.67207i | −0.0505135 | + | 0.286476i | ||||
\(88\) | −0.879430 | + | 1.52322i | −0.0937475 | + | 0.162375i | ||||
\(89\) | −9.94463 | + | 4.63726i | −1.05413 | + | 0.491548i | −0.870868 | − | 0.491516i | \(-0.836443\pi\) |
−0.183260 | + | 0.983064i | \(0.558665\pi\) | |||||||
\(90\) | −2.69173 | − | 4.74730i | −0.283733 | − | 0.500409i | ||||
\(91\) | 9.24434 | + | 6.47296i | 0.969070 | + | 0.678550i | ||||
\(92\) | −1.14179 | + | 1.36073i | −0.119040 | + | 0.141866i | ||||
\(93\) | −0.513895 | + | 0.612436i | −0.0532884 | + | 0.0635066i | ||||
\(94\) | −3.87824 | − | 2.71557i | −0.400010 | − | 0.280090i | ||||
\(95\) | 1.44529 | − | 5.23044i | 0.148283 | − | 0.536632i | ||||
\(96\) | −0.677864 | + | 0.316093i | −0.0691842 | + | 0.0322611i | ||||
\(97\) | −0.114924 | + | 0.199055i | −0.0116688 | + | 0.0202110i | −0.871801 | − | 0.489860i | \(-0.837048\pi\) |
0.860132 | + | 0.510071i | \(0.170381\pi\) | |||||||
\(98\) | −0.385175 | + | 2.18444i | −0.0389085 | + | 0.220661i | ||||
\(99\) | 3.28836 | − | 2.75926i | 0.330492 | − | 0.277316i | ||||
\(100\) | −3.87987 | + | 3.15383i | −0.387987 | + | 0.315383i | ||||
\(101\) | −13.1108 | − | 7.56952i | −1.30457 | − | 0.753195i | −0.323388 | − | 0.946267i | \(-0.604822\pi\) |
−0.981185 | + | 0.193071i | \(0.938155\pi\) | |||||||
\(102\) | 0.286313 | + | 0.200479i | 0.0283492 | + | 0.0198503i | ||||
\(103\) | 6.08041 | + | 10.5316i | 0.599120 | + | 1.03771i | 0.992951 | + | 0.118524i | \(0.0378162\pi\) |
−0.393831 | + | 0.919183i | \(0.628850\pi\) | |||||||
\(104\) | −3.49282 | + | 1.27128i | −0.342499 | + | 0.124659i | ||||
\(105\) | −3.29416 | + | 3.86424i | −0.321477 | + | 0.377111i | ||||
\(106\) | −3.31600 | − | 1.54628i | −0.322078 | − | 0.150188i | ||||
\(107\) | 14.4811 | − | 10.1397i | 1.39994 | − | 0.980246i | 0.402026 | − | 0.915628i | \(-0.368306\pi\) |
0.997910 | − | 0.0646180i | \(-0.0205829\pi\) | |||||||
\(108\) | 4.05375 | − | 0.354657i | 0.390072 | − | 0.0341269i | ||||
\(109\) | −15.8304 | − | 1.38498i | −1.51628 | − | 0.132657i | −0.701602 | − | 0.712569i | \(-0.747531\pi\) |
−0.814679 | + | 0.579912i | \(0.803087\pi\) | |||||||
\(110\) | −2.99300 | − | 2.55145i | −0.285371 | − | 0.243271i | ||||
\(111\) | −4.26566 | − | 1.58194i | −0.404878 | − | 0.150151i | ||||
\(112\) | −2.14687 | − | 2.14687i | −0.202861 | − | 0.202861i | ||||
\(113\) | −3.42460 | + | 2.87358i | −0.322160 | + | 0.270324i | −0.789496 | − | 0.613756i | \(-0.789658\pi\) |
0.467337 | + | 0.884079i | \(0.345214\pi\) | |||||||
\(114\) | 1.39044 | + | 1.16672i | 0.130227 | + | 0.109273i | ||||
\(115\) | −2.52932 | − | 3.06250i | −0.235861 | − | 0.285580i | ||||
\(116\) | 1.53313 | − | 3.28780i | 0.142347 | − | 0.305265i | ||||
\(117\) | 9.07160 | 0.838670 | ||||||||
\(118\) | 2.77453 | − | 5.95000i | 0.255416 | − | 0.547741i | ||||
\(119\) | −0.367221 | + | 1.37049i | −0.0336631 | + | 0.125632i | ||||
\(120\) | −0.420254 | − | 1.61878i | −0.0383638 | − | 0.147774i | ||||
\(121\) | −3.95321 | + | 6.84715i | −0.359382 | + | 0.622469i | ||||
\(122\) | −13.1715 | − | 3.52929i | −1.19249 | − | 0.319527i | ||||
\(123\) | −0.399086 | + | 4.56157i | −0.0359843 | + | 0.411303i | ||||
\(124\) | 0.875597 | − | 0.613099i | 0.0786309 | − | 0.0550579i | ||||
\(125\) | −5.36221 | − | 9.81054i | −0.479611 | − | 0.877481i | ||||
\(126\) | 3.13158 | + | 6.71570i | 0.278983 | + | 0.598282i | ||||
\(127\) | 4.64969 | + | 9.97130i | 0.412593 | + | 0.884810i | 0.997291 | + | 0.0735581i | \(0.0234354\pi\) |
−0.584697 | + | 0.811251i | \(0.698787\pi\) | |||||||
\(128\) | 0.984808 | − | 0.173648i | 0.0870455 | − | 0.0153485i | ||||
\(129\) | 0.401929 | − | 0.0351642i | 0.0353879 | − | 0.00309604i | ||||
\(130\) | −1.37941 | − | 8.19615i | −0.120982 | − | 0.718850i | ||||
\(131\) | 10.6369 | − | 15.1911i | 0.929354 | − | 1.32725i | −0.0155405 | − | 0.999879i | \(-0.504947\pi\) |
0.944894 | − | 0.327376i | \(-0.106164\pi\) | |||||||
\(132\) | 1.19227 | − | 0.555964i | 0.103774 | − | 0.0483904i | ||||
\(133\) | −2.52002 | + | 6.92370i | −0.218514 | + | 0.600361i | ||||
\(134\) | 5.84037 | − | 1.56492i | 0.504532 | − | 0.135189i | ||||
\(135\) | −0.863677 | + | 9.05800i | −0.0743335 | + | 0.779589i | ||||
\(136\) | −0.300384 | − | 0.357984i | −0.0257577 | − | 0.0306969i | ||||
\(137\) | 2.45255 | − | 9.15303i | 0.209535 | − | 0.781996i | −0.778484 | − | 0.627665i | \(-0.784011\pi\) |
0.988019 | − | 0.154332i | \(-0.0493224\pi\) | |||||||
\(138\) | 1.28331 | − | 0.343861i | 0.109242 | − | 0.0292714i | ||||
\(139\) | −2.56515 | − | 14.5477i | −0.217573 | − | 1.23392i | −0.876385 | − | 0.481612i | \(-0.840051\pi\) |
0.658811 | − | 0.752308i | \(-0.271060\pi\) | |||||||
\(140\) | 5.59142 | − | 3.85054i | 0.472561 | − | 0.325430i | ||||
\(141\) | 1.21112 | + | 3.32754i | 0.101995 | + | 0.280229i | ||||
\(142\) | 9.19503i | 0.771630i | ||||||||
\(143\) | 6.14337 | − | 2.23601i | 0.513735 | − | 0.186984i | ||||
\(144\) | −2.40351 | − | 0.423803i | −0.200292 | − | 0.0353169i | ||||
\(145\) | 6.60829 | + | 4.70437i | 0.548789 | + | 0.390677i | ||||
\(146\) | −0.361621 | + | 4.13334i | −0.0299279 | + | 0.342078i | ||||
\(147\) | 1.17311 | − | 1.17311i | 0.0967567 | − | 0.0967567i | ||||
\(148\) | 4.96145 | + | 3.51909i | 0.407829 | + | 0.289267i | ||||
\(149\) | 13.9753i | 1.14490i | 0.819938 | + | 0.572452i | \(0.194008\pi\) | ||||
−0.819938 | + | 0.572452i | \(0.805992\pi\) | |||||||
\(150\) | 3.73010 | − | 0.267813i | 0.304561 | − | 0.0218669i | ||||
\(151\) | 7.39855 | − | 8.81725i | 0.602086 | − | 0.717538i | −0.375795 | − | 0.926703i | \(-0.622630\pi\) |
0.977880 | + | 0.209165i | \(0.0670746\pi\) | |||||||
\(152\) | −1.39195 | − | 1.98791i | −0.112902 | − | 0.161240i | ||||
\(153\) | 0.390081 | + | 1.07174i | 0.0315362 | + | 0.0866450i | ||||
\(154\) | 3.77605 | + | 3.77605i | 0.304283 | + | 0.304283i | ||||
\(155\) | 0.993202 | + | 2.17402i | 0.0797759 | + | 0.174621i | ||||
\(156\) | 2.68535 | + | 0.719537i | 0.215000 | + | 0.0576091i | ||||
\(157\) | 2.49071 | − | 3.55710i | 0.198780 | − | 0.283887i | −0.707370 | − | 0.706843i | \(-0.750119\pi\) |
0.906150 | + | 0.422956i | \(0.139007\pi\) | |||||||
\(158\) | −2.07087 | − | 7.72859i | −0.164750 | − | 0.614854i | ||||
\(159\) | 1.36828 | + | 2.36993i | 0.108512 | + | 0.187948i | ||||
\(160\) | −0.0174317 | + | 2.23600i | −0.00137810 | + | 0.176771i | ||||
\(161\) | 3.09337 | + | 4.41779i | 0.243792 | + | 0.348171i | ||||
\(162\) | 3.70504 | + | 2.13910i | 0.291095 | + | 0.168064i | ||||
\(163\) | 1.47624 | + | 0.537308i | 0.115628 | + | 0.0420852i | 0.399186 | − | 0.916870i | \(-0.369293\pi\) |
−0.283558 | + | 0.958955i | \(0.591515\pi\) | |||||||
\(164\) | 2.09389 | − | 5.75293i | 0.163506 | − | 0.449228i | ||||
\(165\) | 0.739168 | + | 2.84721i | 0.0575441 | + | 0.221655i | ||||
\(166\) | 0.281238 | + | 3.21456i | 0.0218283 | + | 0.249498i | ||||
\(167\) | 7.98349 | + | 6.69895i | 0.617781 | + | 0.518380i | 0.897105 | − | 0.441817i | \(-0.145666\pi\) |
−0.279324 | + | 0.960197i | \(0.590110\pi\) | |||||||
\(168\) | 0.394329 | + | 2.23635i | 0.0304232 | + | 0.172538i | ||||
\(169\) | 0.766719 | + | 0.279063i | 0.0589784 | + | 0.0214664i | ||||
\(170\) | 0.908997 | − | 0.515403i | 0.0697169 | − | 0.0395296i | ||||
\(171\) | 1.53293 | + | 5.72096i | 0.117226 | + | 0.437493i | ||||
\(172\) | −0.531239 | − | 0.0936717i | −0.0405066 | − | 0.00714240i | ||||
\(173\) | −21.1933 | − | 1.85417i | −1.61130 | − | 0.140970i | −0.754385 | − | 0.656432i | \(-0.772065\pi\) |
−0.856912 | + | 0.515462i | \(0.827620\pi\) | |||||||
\(174\) | −2.34978 | + | 1.35665i | −0.178137 | + | 0.102847i | ||||
\(175\) | 6.20035 | + | 13.8567i | 0.468702 | + | 1.04747i | ||||
\(176\) | −1.73214 | + | 0.305423i | −0.130565 | + | 0.0230221i | ||||
\(177\) | −4.25244 | + | 2.45515i | −0.319633 | + | 0.184540i | ||||
\(178\) | −9.94463 | − | 4.63726i | −0.745381 | − | 0.347577i | ||||
\(179\) | −9.27493 | + | 9.27493i | −0.693241 | + | 0.693241i | −0.962944 | − | 0.269703i | \(-0.913075\pi\) |
0.269703 | + | 0.962944i | \(0.413075\pi\) | |||||||
\(180\) | 1.90643 | − | 5.11349i | 0.142097 | − | 0.381137i | ||||
\(181\) | −1.96177 | + | 11.1258i | −0.145818 | + | 0.826972i | 0.820890 | + | 0.571087i | \(0.193478\pi\) |
−0.966707 | + | 0.255885i | \(0.917633\pi\) | |||||||
\(182\) | 0.983575 | + | 11.2423i | 0.0729074 | + | 0.833336i | ||||
\(183\) | 6.55580 | + | 7.81290i | 0.484619 | + | 0.577546i | ||||
\(184\) | −1.77631 | −0.130951 | ||||||||
\(185\) | −9.75008 | + | 9.48346i | −0.716840 | + | 0.697238i | ||||
\(186\) | −0.799478 | −0.0586206 | ||||||||
\(187\) | 0.528334 | + | 0.629644i | 0.0386356 | + | 0.0460441i | ||||
\(188\) | −0.412635 | − | 4.71644i | −0.0300945 | − | 0.343982i | ||||
\(189\) | 2.14538 | − | 12.1671i | 0.156054 | − | 0.885023i | ||||
\(190\) | 4.93577 | − | 2.25491i | 0.358078 | − | 0.163588i | ||||
\(191\) | 1.61258 | − | 1.61258i | 0.116682 | − | 0.116682i | −0.646355 | − | 0.763037i | \(-0.723707\pi\) |
0.763037 | + | 0.646355i | \(0.223707\pi\) | |||||||
\(192\) | −0.677864 | − | 0.316093i | −0.0489206 | − | 0.0228121i | ||||
\(193\) | −4.29330 | + | 2.47874i | −0.309039 | + | 0.178424i | −0.646496 | − | 0.762917i | \(-0.723766\pi\) |
0.337457 | + | 0.941341i | \(0.390433\pi\) | |||||||
\(194\) | −0.226357 | + | 0.0399128i | −0.0162515 | + | 0.00286557i | ||||
\(195\) | −2.67102 | + | 5.61336i | −0.191276 | + | 0.401981i | ||||
\(196\) | −1.92096 | + | 1.10907i | −0.137211 | + | 0.0792191i | ||||
\(197\) | 26.4650 | + | 2.31539i | 1.88555 | + | 0.164964i | 0.970933 | − | 0.239351i | \(-0.0769348\pi\) |
0.914619 | + | 0.404316i | \(0.132490\pi\) | |||||||
\(198\) | 4.22743 | + | 0.745410i | 0.300430 | + | 0.0529740i | ||||
\(199\) | 3.34781 | + | 12.4942i | 0.237320 | + | 0.885689i | 0.977089 | + | 0.212829i | \(0.0682677\pi\) |
−0.739770 | + | 0.672860i | \(0.765066\pi\) | |||||||
\(200\) | −4.90990 | − | 0.944906i | −0.347183 | − | 0.0668149i | ||||
\(201\) | −4.24962 | − | 1.54673i | −0.299745 | − | 0.109098i | ||||
\(202\) | −2.62887 | − | 14.9090i | −0.184966 | − | 1.04900i | ||||
\(203\) | −8.43734 | − | 7.07977i | −0.592185 | − | 0.496902i | ||||
\(204\) | 0.0304630 | + | 0.348194i | 0.00213284 | + | 0.0243784i | ||||
\(205\) | 11.8017 | + | 6.93697i | 0.824270 | + | 0.484499i | ||||
\(206\) | −4.15924 | + | 11.4274i | −0.289788 | + | 0.796186i | ||||
\(207\) | 4.07379 | + | 1.48274i | 0.283148 | + | 0.103057i | ||||
\(208\) | −3.21900 | − | 1.85849i | −0.223197 | − | 0.128863i | ||||
\(209\) | 2.44824 | + | 3.49645i | 0.169348 | + | 0.241854i | ||||
\(210\) | −5.07762 | − | 0.0395849i | −0.350389 | − | 0.00273162i | ||||
\(211\) | 4.71596 | + | 8.16829i | 0.324660 | + | 0.562328i | 0.981444 | − | 0.191751i | \(-0.0614167\pi\) |
−0.656783 | + | 0.754079i | \(0.728083\pi\) | |||||||
\(212\) | −0.946967 | − | 3.53413i | −0.0650379 | − | 0.242725i | ||||
\(213\) | 3.94468 | − | 5.63358i | 0.270285 | − | 0.386007i | ||||
\(214\) | 17.0757 | + | 4.57543i | 1.16727 | + | 0.312770i | ||||
\(215\) | 0.421372 | − | 1.13022i | 0.0287373 | − | 0.0770801i | ||||
\(216\) | 2.87738 | + | 2.87738i | 0.195781 | + | 0.195781i | ||||
\(217\) | −1.10997 | − | 3.04963i | −0.0753499 | − | 0.207022i | ||||
\(218\) | −9.11465 | − | 13.0171i | −0.617322 | − | 0.881627i | ||||
\(219\) | 1.99477 | − | 2.37727i | 0.134794 | − | 0.160641i | ||||
\(220\) | 0.0306600 | − | 3.93281i | 0.00206710 | − | 0.265150i | ||||
\(221\) | 1.73700i | 0.116843i | ||||||||
\(222\) | −1.53008 | − | 4.28453i | −0.102692 | − | 0.287559i | ||||
\(223\) | −17.6658 | + | 17.6658i | −1.18299 | + | 1.18299i | −0.204022 | + | 0.978966i | \(0.565401\pi\) |
−0.978966 | + | 0.204022i | \(0.934599\pi\) | |||||||
\(224\) | 0.264617 | − | 3.02458i | 0.0176805 | − | 0.202089i | ||||
\(225\) | 10.4716 | + | 6.26549i | 0.698109 | + | 0.417699i | ||||
\(226\) | −4.40258 | − | 0.776294i | −0.292856 | − | 0.0516383i | ||||
\(227\) | −12.1877 | + | 4.43597i | −0.808928 | + | 0.294426i | −0.713181 | − | 0.700980i | \(-0.752746\pi\) |
−0.0957471 | + | 0.995406i | \(0.530524\pi\) | |||||||
\(228\) | 1.81509i | 0.120207i | ||||||||
\(229\) | −6.43623 | − | 17.6834i | −0.425318 | − | 1.16855i | −0.948624 | − | 0.316406i | \(-0.897524\pi\) |
0.523306 | − | 0.852145i | \(-0.324699\pi\) | |||||||
\(230\) | 0.720195 | − | 3.90611i | 0.0474883 | − | 0.257562i | ||||
\(231\) | −0.693570 | − | 3.93343i | −0.0456335 | − | 0.258801i | ||||
\(232\) | 3.50408 | − | 0.938915i | 0.230054 | − | 0.0616428i | ||||
\(233\) | 4.55632 | − | 17.0044i | 0.298494 | − | 1.11400i | −0.639908 | − | 0.768452i | \(-0.721028\pi\) |
0.938402 | − | 0.345545i | \(-0.112306\pi\) | |||||||
\(234\) | 5.83111 | + | 6.94925i | 0.381192 | + | 0.454287i | ||||
\(235\) | 10.5388 | + | 1.00487i | 0.687473 | + | 0.0655503i | ||||
\(236\) | 6.34139 | − | 1.69917i | 0.412790 | − | 0.110607i | ||||
\(237\) | −2.04680 | + | 5.62354i | −0.132954 | + | 0.365288i | ||||
\(238\) | −1.28590 | + | 0.599625i | −0.0833525 | + | 0.0388679i | ||||
\(239\) | −16.3440 | + | 23.3417i | −1.05721 | + | 1.50985i | −0.210640 | + | 0.977564i | \(0.567555\pi\) |
−0.846566 | + | 0.532283i | \(0.821334\pi\) | |||||||
\(240\) | 0.969927 | − | 1.36247i | 0.0626085 | − | 0.0879469i | ||||
\(241\) | 17.5907 | − | 1.53899i | 1.13312 | − | 0.0991348i | 0.494870 | − | 0.868967i | \(-0.335216\pi\) |
0.638246 | + | 0.769833i | \(0.279660\pi\) | |||||||
\(242\) | −7.78630 | + | 1.37293i | −0.500522 | + | 0.0882555i | ||||
\(243\) | −6.51151 | − | 13.9640i | −0.417714 | − | 0.895790i | ||||
\(244\) | −5.76288 | − | 12.3585i | −0.368930 | − | 0.791174i | ||||
\(245\) | −1.66000 | − | 4.67386i | −0.106053 | − | 0.298602i | ||||
\(246\) | −3.75089 | + | 2.62640i | −0.239148 | + | 0.167453i | ||||
\(247\) | −0.786171 | + | 8.98598i | −0.0500229 | + | 0.571764i | ||||
\(248\) | 1.03248 | + | 0.276653i | 0.0655628 | + | 0.0175675i | ||||
\(249\) | 1.20674 | − | 2.09014i | 0.0764742 | − | 0.132457i | ||||
\(250\) | 4.06854 | − | 10.4138i | 0.257317 | − | 0.658626i | ||||
\(251\) | 0.462964 | − | 1.72780i | 0.0292220 | − | 0.109058i | −0.949774 | − | 0.312935i | \(-0.898688\pi\) |
0.978996 | + | 0.203877i | \(0.0653544\pi\) | |||||||
\(252\) | −3.13158 | + | 6.71570i | −0.197271 | + | 0.423049i | ||||
\(253\) | 3.12428 | 0.196422 | ||||||||
\(254\) | −4.64969 | + | 9.97130i | −0.291748 | + | 0.625655i | ||||
\(255\) | −0.778030 | − | 0.0741849i | −0.0487221 | − | 0.00464564i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | −1.21949 | + | 1.02327i | −0.0760695 | + | 0.0638299i | −0.680030 | − | 0.733185i | \(-0.738033\pi\) |
0.603960 | + | 0.797015i | \(0.293589\pi\) | |||||||
\(258\) | 0.285292 | + | 0.285292i | 0.0177615 | + | 0.0177615i | ||||
\(259\) | 14.2191 | − | 11.7850i | 0.883534 | − | 0.732287i | ||||
\(260\) | 5.39195 | − | 6.32507i | 0.334394 | − | 0.392264i | ||||
\(261\) | −8.81999 | − | 0.771649i | −0.545944 | − | 0.0477639i | ||||
\(262\) | 18.4744 | − | 1.61630i | 1.14135 | − | 0.0998552i | ||||
\(263\) | 20.0920 | − | 14.0685i | 1.23892 | − | 0.867503i | 0.244162 | − | 0.969734i | \(-0.421487\pi\) |
0.994761 | + | 0.102231i | \(0.0325982\pi\) | |||||||
\(264\) | 1.19227 | + | 0.555964i | 0.0733790 | + | 0.0342172i | ||||
\(265\) | 8.15550 | − | 0.649491i | 0.500988 | − | 0.0398979i | ||||
\(266\) | −6.92370 | + | 2.52002i | −0.424519 | + | 0.154512i | ||||
\(267\) | 4.10346 | + | 7.10740i | 0.251128 | + | 0.434966i | ||||
\(268\) | 4.95292 | + | 3.46807i | 0.302548 | + | 0.211846i | ||||
\(269\) | −11.2601 | − | 6.50101i | −0.686539 | − | 0.396374i | 0.115775 | − | 0.993275i | \(-0.463065\pi\) |
−0.802314 | + | 0.596902i | \(0.796398\pi\) | |||||||
\(270\) | −7.49399 | + | 5.16076i | −0.456070 | + | 0.314074i | ||||
\(271\) | 15.1832 | − | 12.7402i | 0.922315 | − | 0.773914i | −0.0521065 | − | 0.998642i | \(-0.516594\pi\) |
0.974422 | + | 0.224727i | \(0.0721491\pi\) | |||||||
\(272\) | 0.0811484 | − | 0.460215i | 0.00492034 | − | 0.0279047i | ||||
\(273\) | 4.22035 | − | 7.30986i | 0.255427 | − | 0.442413i | ||||
\(274\) | 8.58810 | − | 4.00469i | 0.518826 | − | 0.241932i | ||||
\(275\) | 8.63583 | + | 1.66196i | 0.520760 | + | 0.100220i | ||||
\(276\) | 1.08831 | + | 0.762040i | 0.0655083 | + | 0.0458694i | ||||
\(277\) | 10.9193 | − | 13.0131i | 0.656076 | − | 0.781880i | −0.330741 | − | 0.943721i | \(-0.607299\pi\) |
0.986817 | + | 0.161841i | \(0.0517432\pi\) | |||||||
\(278\) | 9.49534 | − | 11.3161i | 0.569493 | − | 0.678695i | ||||
\(279\) | −2.13697 | − | 1.49632i | −0.127937 | − | 0.0895824i | ||||
\(280\) | 6.54378 | + | 1.80819i | 0.391066 | + | 0.108060i | ||||
\(281\) | −23.1231 | + | 10.7825i | −1.37941 | + | 0.643228i | −0.963876 | − | 0.266351i | \(-0.914182\pi\) |
−0.415531 | + | 0.909579i | \(0.636404\pi\) | |||||||
\(282\) | −1.77055 | + | 3.06668i | −0.105434 | + | 0.182618i | ||||
\(283\) | 2.62280 | − | 14.8747i | 0.155909 | − | 0.884207i | −0.802040 | − | 0.597270i | \(-0.796252\pi\) |
0.957950 | − | 0.286936i | \(-0.0926369\pi\) | |||||||
\(284\) | −7.04380 | + | 5.91045i | −0.417973 | + | 0.350721i | ||||
\(285\) | −3.99139 | − | 0.735918i | −0.236430 | − | 0.0435920i | ||||
\(286\) | 5.66176 | + | 3.26882i | 0.334787 | + | 0.193289i | ||||
\(287\) | −15.2261 | − | 10.6614i | −0.898769 | − | 0.629325i | ||||
\(288\) | −1.22029 | − | 2.11361i | −0.0719064 | − | 0.124546i | ||||
\(289\) | 15.7696 | − | 5.73965i | 0.927621 | − | 0.337627i | ||||
\(290\) | 0.643969 | + | 8.08616i | 0.0378151 | + | 0.474835i | ||||
\(291\) | 0.155806 | + | 0.0726537i | 0.00913353 | + | 0.00425904i | ||||
\(292\) | −3.39877 | + | 2.37984i | −0.198898 | + | 0.139270i | ||||
\(293\) | 11.0594 | − | 0.967570i | 0.646096 | − | 0.0565260i | 0.240602 | − | 0.970624i | \(-0.422655\pi\) |
0.405494 | + | 0.914098i | \(0.367100\pi\) | |||||||
\(294\) | 1.65272 | + | 0.144594i | 0.0963885 | + | 0.00843291i | ||||
\(295\) | 1.16540 | + | 14.6337i | 0.0678523 | + | 0.852005i | ||||
\(296\) | 0.493383 | + | 6.06272i | 0.0286773 | + | 0.352388i | ||||
\(297\) | −5.06091 | − | 5.06091i | −0.293664 | − | 0.293664i | ||||
\(298\) | −10.7057 | + | 8.98317i | −0.620166 | + | 0.520381i | ||||
\(299\) | 5.05782 | + | 4.24401i | 0.292501 | + | 0.245438i | ||||
\(300\) | 2.60282 | + | 2.68528i | 0.150274 | + | 0.155034i | ||||
\(301\) | −0.692162 | + | 1.48435i | −0.0398956 | + | 0.0855563i | ||||
\(302\) | 11.5101 | 0.662332 | ||||||||
\(303\) | −4.78535 | + | 10.2622i | −0.274911 | + | 0.589549i | ||||
\(304\) | 0.628098 | − | 2.34409i | 0.0360239 | − | 0.134443i | ||||
\(305\) | 29.5130 | − | 7.66189i | 1.68991 | − | 0.438719i | ||||
\(306\) | −0.570261 | + | 0.987721i | −0.0325996 | + | 0.0564642i | ||||
\(307\) | −28.2527 | − | 7.57029i | −1.61247 | − | 0.432059i | −0.663690 | − | 0.748007i | \(-0.731011\pi\) |
−0.948776 | + | 0.315948i | \(0.897677\pi\) | |||||||
\(308\) | −0.465424 | + | 5.31982i | −0.0265200 | + | 0.303125i | ||||
\(309\) | 7.45065 | − | 5.21700i | 0.423853 | − | 0.296785i | ||||
\(310\) | −1.02698 | + | 2.15827i | −0.0583283 | + | 0.122581i | ||||
\(311\) | −8.95742 | − | 19.2092i | −0.507929 | − | 1.08926i | −0.978377 | − | 0.206829i | \(-0.933686\pi\) |
0.470448 | − | 0.882427i | \(-0.344092\pi\) | |||||||
\(312\) | 1.17491 | + | 2.51961i | 0.0665163 | + | 0.142645i | ||||
\(313\) | −12.3523 | + | 2.17804i | −0.698192 | + | 0.123110i | −0.511468 | − | 0.859302i | \(-0.670898\pi\) |
−0.186724 | + | 0.982412i | \(0.559787\pi\) | |||||||
\(314\) | 4.32589 | − | 0.378466i | 0.244124 | − | 0.0213581i | ||||
\(315\) | −13.4982 | − | 9.60920i | −0.760535 | − | 0.541417i | ||||
\(316\) | 4.58931 | − | 6.55422i | 0.258169 | − | 0.368704i | ||||
\(317\) | −25.8140 | + | 12.0373i | −1.44986 | + | 0.676079i | −0.978573 | − | 0.205902i | \(-0.933987\pi\) |
−0.471284 | + | 0.881981i | \(0.656209\pi\) | |||||||
\(318\) | −0.935960 | + | 2.57153i | −0.0524860 | + | 0.144204i | ||||
\(319\) | −6.16318 | + | 1.65142i | −0.345072 | + | 0.0924617i | ||||
\(320\) | −1.72408 | + | 1.42392i | −0.0963790 | + | 0.0795995i | ||||
\(321\) | −8.49905 | − | 10.1288i | −0.474371 | − | 0.565333i | ||||
\(322\) | −1.39584 | + | 5.20936i | −0.0777873 | + | 0.290306i | ||||
\(323\) | −1.09543 | + | 0.293520i | −0.0609513 | + | 0.0163319i | ||||
\(324\) | 0.742903 | + | 4.21321i | 0.0412724 | + | 0.234067i | ||||
\(325\) | 11.7227 | + | 14.4214i | 0.650259 | + | 0.799954i | ||||
\(326\) | 0.537308 | + | 1.47624i | 0.0297587 | + | 0.0817614i | ||||
\(327\) | 11.8855i | 0.657267i | ||||||||
\(328\) | 5.75293 | − | 2.09389i | 0.317652 | − | 0.115616i | ||||
\(329\) | −14.1561 | − | 2.49610i | −0.780450 | − | 0.137614i | ||||
\(330\) | −1.70596 | + | 2.39639i | −0.0939103 | + | 0.131917i | ||||
\(331\) | 0.450411 | − | 5.14822i | 0.0247568 | − | 0.282972i | −0.973718 | − | 0.227758i | \(-0.926860\pi\) |
0.998475 | − | 0.0552136i | \(-0.0175840\pi\) | |||||||
\(332\) | −2.28172 | + | 2.28172i | −0.125226 | + | 0.125226i | ||||
\(333\) | 3.92920 | − | 14.3161i | 0.215319 | − | 0.784516i | ||||
\(334\) | 10.4217i | 0.570251i | ||||||||
\(335\) | −9.63444 | + | 9.48538i | −0.526386 | + | 0.518242i | ||||
\(336\) | −1.45967 | + | 1.73957i | −0.0796318 | + | 0.0949015i | ||||
\(337\) | −14.9633 | − | 21.3698i | −0.815103 | − | 1.16409i | −0.983950 | − | 0.178446i | \(-0.942893\pi\) |
0.168846 | − | 0.985642i | \(-0.445996\pi\) | |||||||
\(338\) | 0.279063 | + | 0.766719i | 0.0151790 | + | 0.0417040i | ||||
\(339\) | 2.36433 | + | 2.36433i | 0.128413 | + | 0.128413i | ||||
\(340\) | 0.979114 | + | 0.365037i | 0.0530999 | + | 0.0197969i | ||||
\(341\) | −1.81599 | − | 0.486594i | −0.0983416 | − | 0.0263506i | ||||
\(342\) | −3.39716 | + | 4.85165i | −0.183698 | + | 0.262347i | ||||
\(343\) | −3.75764 | − | 14.0237i | −0.202893 | − | 0.757209i | ||||
\(344\) | −0.269717 | − | 0.467163i | −0.0145422 | − | 0.0251878i | ||||
\(345\) | −2.11697 | + | 2.08422i | −0.113974 | + | 0.112211i | ||||
\(346\) | −12.2024 | − | 17.4269i | −0.656006 | − | 0.936873i | ||||
\(347\) | −28.6827 | − | 16.5600i | −1.53977 | − | 0.888985i | −0.998852 | − | 0.0479084i | \(-0.984744\pi\) |
−0.540916 | − | 0.841077i | \(-0.681922\pi\) | |||||||
\(348\) | −2.54966 | − | 0.928002i | −0.136676 | − | 0.0497461i | ||||
\(349\) | −3.30065 | + | 9.06845i | −0.176680 | + | 0.485423i | −0.996147 | − | 0.0877031i | \(-0.972047\pi\) |
0.819467 | + | 0.573126i | \(0.194270\pi\) | |||||||
\(350\) | −6.62936 | + | 13.6567i | −0.354354 | + | 0.729980i | ||||
\(351\) | −1.31825 | − | 15.0677i | −0.0703631 | − | 0.804254i | ||||
\(352\) | −1.34736 | − | 1.13057i | −0.0718148 | − | 0.0602598i | ||||
\(353\) | 1.93452 | + | 10.9712i | 0.102964 | + | 0.583937i | 0.992014 | + | 0.126128i | \(0.0402549\pi\) |
−0.889050 | + | 0.457810i | \(0.848634\pi\) | |||||||
\(354\) | −4.61417 | − | 1.67942i | −0.245241 | − | 0.0892602i | ||||
\(355\) | −10.1412 | − | 17.8857i | −0.538241 | − | 0.949274i | ||||
\(356\) | −2.83994 | − | 10.5988i | −0.150516 | − | 0.561735i | ||||
\(357\) | 1.04508 | + | 0.184276i | 0.0553115 | + | 0.00975291i | ||||
\(358\) | −13.0668 | − | 1.14320i | −0.690603 | − | 0.0604199i | ||||
\(359\) | −4.01803 | + | 2.31981i | −0.212064 | + | 0.122435i | −0.602270 | − | 0.798292i | \(-0.705737\pi\) |
0.390206 | + | 0.920727i | \(0.372404\pi\) | |||||||
\(360\) | 5.14259 | − | 1.82648i | 0.271038 | − | 0.0962638i | ||||
\(361\) | 12.9115 | − | 2.27665i | 0.679555 | − | 0.119824i | ||||
\(362\) | −9.78384 | + | 5.64870i | −0.514227 | + | 0.296889i | ||||
\(363\) | 5.35948 | + | 2.49916i | 0.281300 | + | 0.131172i | ||||
\(364\) | −7.97988 | + | 7.97988i | −0.418259 | + | 0.418259i | ||||
\(365\) | −3.85527 | − | 8.43880i | −0.201794 | − | 0.441707i | ||||
\(366\) | −1.77104 | + | 10.0441i | −0.0925738 | + | 0.525012i | ||||
\(367\) | 0.0576343 | + | 0.658763i | 0.00300849 | + | 0.0343872i | 0.997551 | − | 0.0699492i | \(-0.0222837\pi\) |
−0.994542 | + | 0.104336i | \(0.966728\pi\) | |||||||
\(368\) | −1.14179 | − | 1.36073i | −0.0595200 | − | 0.0709331i | ||||
\(369\) | −14.9416 | −0.777828 | ||||||||
\(370\) | −13.5320 | − | 1.37314i | −0.703494 | − | 0.0713864i | ||||
\(371\) | −11.1086 | −0.576731 | ||||||||
\(372\) | −0.513895 | − | 0.612436i | −0.0266442 | − | 0.0317533i | ||||
\(373\) | 2.91787 | + | 33.3514i | 0.151082 | + | 1.72687i | 0.572415 | + | 0.819964i | \(0.306007\pi\) |
−0.421333 | + | 0.906906i | \(0.638438\pi\) | |||||||
\(374\) | −0.142729 | + | 0.809454i | −0.00738032 | + | 0.0418559i | ||||
\(375\) | −6.96023 | + | 4.63488i | −0.359425 | + | 0.239344i | ||||
\(376\) | 3.34777 | − | 3.34777i | 0.172648 | − | 0.172648i | ||||
\(377\) | −12.2207 | − | 5.69860i | −0.629398 | − | 0.293493i | ||||
\(378\) | 10.6995 | − | 6.17738i | 0.550325 | − | 0.317730i | ||||
\(379\) | 31.4688 | − | 5.54879i | 1.61644 | − | 0.285022i | 0.709002 | − | 0.705206i | \(-0.249145\pi\) |
0.907439 | + | 0.420184i | \(0.138034\pi\) | |||||||
\(380\) | 4.90001 | + | 2.33159i | 0.251365 | + | 0.119608i | ||||
\(381\) | 7.12646 | − | 4.11446i | 0.365099 | − | 0.210790i | ||||
\(382\) | 2.27185 | + | 0.198762i | 0.116238 | + | 0.0101695i | ||||
\(383\) | −12.2073 | − | 2.15248i | −0.623765 | − | 0.109987i | −0.147172 | − | 0.989111i | \(-0.547017\pi\) |
−0.476593 | + | 0.879124i | \(0.658128\pi\) | |||||||
\(384\) | −0.193581 | − | 0.722455i | −0.00987865 | − | 0.0368676i | ||||
\(385\) | −11.5096 | − | 3.18036i | −0.586583 | − | 0.162086i | ||||
\(386\) | −4.65851 | − | 1.69556i | −0.237112 | − | 0.0863016i | ||||
\(387\) | 0.228614 | + | 1.29653i | 0.0116211 | + | 0.0659065i | ||||
\(388\) | −0.176074 | − | 0.147744i | −0.00893883 | − | 0.00750057i | ||||
\(389\) | 0.598139 | + | 6.83676i | 0.0303269 | + | 0.346638i | 0.996165 | + | 0.0874922i | \(0.0278853\pi\) |
−0.965838 | + | 0.259145i | \(0.916559\pi\) | |||||||
\(390\) | −6.01699 | + | 1.56208i | −0.304682 | + | 0.0790988i | ||||
\(391\) | −0.283910 | + | 0.780036i | −0.0143579 | + | 0.0394481i | ||||
\(392\) | −2.08436 | − | 0.758646i | −0.105276 | − | 0.0383174i | ||||
\(393\) | −12.0122 | − | 6.93526i | −0.605936 | − | 0.349837i | ||||
\(394\) | 15.2377 | + | 21.7617i | 0.767663 | + | 1.09634i | ||||
\(395\) | 12.5520 | + | 12.7493i | 0.631562 | + | 0.641486i | ||||
\(396\) | 2.14632 | + | 3.71754i | 0.107857 | + | 0.186813i | ||||
\(397\) | 9.67583 | + | 36.1107i | 0.485616 | + | 1.81234i | 0.577271 | + | 0.816553i | \(0.304118\pi\) |
−0.0916550 | + | 0.995791i | \(0.529216\pi\) | |||||||
\(398\) | −7.41917 | + | 10.5957i | −0.371889 | + | 0.531113i | ||||
\(399\) | 5.32309 | + | 1.42632i | 0.266488 | + | 0.0714051i | ||||
\(400\) | −2.43219 | − | 4.36858i | −0.121609 | − | 0.218429i | ||||
\(401\) | −0.547394 | − | 0.547394i | −0.0273356 | − | 0.0273356i | 0.693307 | − | 0.720642i | \(-0.256153\pi\) |
−0.720642 | + | 0.693307i | \(0.756153\pi\) | |||||||
\(402\) | −1.54673 | − | 4.24962i | −0.0771441 | − | 0.211952i | ||||
\(403\) | −2.27888 | − | 3.25457i | −0.113519 | − | 0.162122i | ||||
\(404\) | 9.73119 | − | 11.5972i | 0.484145 | − | 0.576981i | ||||
\(405\) | −9.56608 | − | 0.0745767i | −0.475342 | − | 0.00370574i | ||||
\(406\) | − | 11.0142i | − | 0.546624i | ||||||
\(407\) | −0.867791 | − | 10.6635i | −0.0430148 | − | 0.528569i | ||||
\(408\) | −0.247151 | + | 0.247151i | −0.0122358 | + | 0.0122358i | ||||
\(409\) | 2.55732 | − | 29.2303i | 0.126451 | − | 1.44534i | −0.622449 | − | 0.782661i | \(-0.713862\pi\) |
0.748900 | − | 0.662683i | \(-0.230582\pi\) | |||||||
\(410\) | 2.27199 | + | 13.4997i | 0.112206 | + | 0.666701i | ||||
\(411\) | −6.97975 | − | 1.23072i | −0.344286 | − | 0.0607068i | ||||
\(412\) | −11.4274 | + | 4.15924i | −0.562989 | + | 0.204911i | ||||
\(413\) | − | 19.9325i | − | 0.980816i | ||||||
\(414\) | 1.48274 | + | 4.07379i | 0.0728726 | + | 0.200216i | ||||
\(415\) | −4.09240 | − | 5.94262i | −0.200888 | − | 0.291712i | ||||
\(416\) | −0.645446 | − | 3.66051i | −0.0316456 | − | 0.179471i | ||||
\(417\) | −10.6722 | + | 2.85961i | −0.522620 | + | 0.140036i | ||||
\(418\) | −1.10474 | + | 4.12293i | −0.0540344 | + | 0.201659i | ||||
\(419\) | 25.2606 | + | 30.1044i | 1.23406 | + | 1.47070i | 0.831708 | + | 0.555213i | \(0.187363\pi\) |
0.402354 | + | 0.915484i | \(0.368192\pi\) | |||||||
\(420\) | −3.23351 | − | 3.91513i | −0.157779 | − | 0.191039i | ||||
\(421\) | −11.6967 | + | 3.13413i | −0.570063 | + | 0.152748i | −0.532326 | − | 0.846540i | \(-0.678682\pi\) |
−0.0377377 | + | 0.999288i | \(0.512015\pi\) | |||||||
\(422\) | −3.22591 | + | 8.86311i | −0.157035 | + | 0.431449i | ||||
\(423\) | −10.4722 | + | 4.88329i | −0.509178 | + | 0.237434i | ||||
\(424\) | 2.09860 | − | 2.99711i | 0.101917 | − | 0.145553i | ||||
\(425\) | −1.19969 | + | 2.00507i | −0.0581937 | + | 0.0972603i | ||||
\(426\) | 6.85116 | − | 0.599399i | 0.331940 | − | 0.0290410i | ||||
\(427\) | −40.7722 | + | 7.18924i | −1.97311 | + | 0.347912i | ||||
\(428\) | 7.47109 | + | 16.0218i | 0.361129 | + | 0.774443i | ||||
\(429\) | −2.06651 | − | 4.43164i | −0.0997718 | − | 0.213961i | ||||
\(430\) | 1.13665 | − | 0.403700i | 0.0548141 | − | 0.0194681i | ||||
\(431\) | 29.9046 | − | 20.9394i | 1.44045 | − | 1.00862i | 0.446981 | − | 0.894544i | \(-0.352499\pi\) |
0.993472 | − | 0.114072i | \(-0.0363896\pi\) | |||||||
\(432\) | −0.354657 | + | 4.05375i | −0.0170634 | + | 0.195036i | ||||
\(433\) | 7.77586 | + | 2.08354i | 0.373684 | + | 0.100128i | 0.440773 | − | 0.897619i | \(-0.354704\pi\) |
−0.0670888 | + | 0.997747i | \(0.521371\pi\) | |||||||
\(434\) | 1.62267 | − | 2.81055i | 0.0778908 | − | 0.134911i | ||||
\(435\) | 3.07443 | − | 5.23047i | 0.147407 | − | 0.250782i | ||||
\(436\) | 4.11287 | − | 15.3494i | 0.196971 | − | 0.735105i | ||||
\(437\) | −1.82179 | + | 3.90684i | −0.0871481 | + | 0.186890i | ||||
\(438\) | 3.10330 | 0.148282 | ||||||||
\(439\) | 13.8848 | − | 29.7760i | 0.662683 | − | 1.42113i | −0.231234 | − | 0.972898i | \(-0.574276\pi\) |
0.893918 | − | 0.448231i | \(-0.147946\pi\) | |||||||
\(440\) | 3.03242 | − | 2.50447i | 0.144565 | − | 0.119396i | ||||
\(441\) | 4.14702 | + | 3.47976i | 0.197477 | + | 0.165703i | ||||
\(442\) | −1.33062 | + | 1.11652i | −0.0632911 | + | 0.0531075i | ||||
\(443\) | 26.6048 | + | 26.6048i | 1.26403 | + | 1.26403i | 0.949121 | + | 0.314913i | \(0.101975\pi\) |
0.314913 | + | 0.949121i | \(0.398025\pi\) | |||||||
\(444\) | 2.29863 | − | 3.92615i | 0.109088 | − | 0.186327i | ||||
\(445\) | 24.4582 | − | 1.94781i | 1.15943 | − | 0.0923352i | ||||
\(446\) | −24.8881 | − | 2.17743i | −1.17849 | − | 0.103104i | ||||
\(447\) | 10.4129 | − | 0.911014i | 0.492515 | − | 0.0430895i | ||||
\(448\) | 2.48706 | − | 1.74146i | 0.117502 | − | 0.0822761i | ||||
\(449\) | 14.3688 | + | 6.70030i | 0.678107 | + | 0.316207i | 0.730984 | − | 0.682394i | \(-0.239061\pi\) |
−0.0528769 | + | 0.998601i | \(0.516839\pi\) | |||||||
\(450\) | 1.93139 | + | 12.0491i | 0.0910467 | + | 0.568001i | ||||
\(451\) | −10.1186 | + | 3.68287i | −0.476466 | + | 0.173419i | ||||
\(452\) | −2.23525 | − | 3.87157i | −0.105137 | − | 0.182103i | ||||
\(453\) | −7.05198 | − | 4.93785i | −0.331331 | − | 0.232000i | ||||
\(454\) | −11.2323 | − | 6.48496i | −0.527157 | − | 0.304354i | ||||
\(455\) | −14.3124 | − | 20.7832i | −0.670975 | − | 0.974331i | ||||
\(456\) | −1.39044 | + | 1.16672i | −0.0651133 | + | 0.0546366i | ||||
\(457\) | 1.25772 | − | 7.13291i | 0.0588339 | − | 0.333663i | −0.941157 | − | 0.337970i | \(-0.890260\pi\) |
0.999991 | + | 0.00430666i | \(0.00137086\pi\) | |||||||
\(458\) | 9.40914 | − | 16.2971i | 0.439660 | − | 0.761514i | ||||
\(459\) | 1.72345 | − | 0.803657i | 0.0804436 | − | 0.0375115i | ||||
\(460\) | 3.45519 | − | 1.95910i | 0.161099 | − | 0.0913435i | ||||
\(461\) | 19.5263 | + | 13.6725i | 0.909430 | + | 0.636790i | 0.931805 | − | 0.362960i | \(-0.118234\pi\) |
−0.0223745 | + | 0.999750i | \(0.507123\pi\) | |||||||
\(462\) | 2.56736 | − | 3.05966i | 0.119445 | − | 0.142348i | ||||
\(463\) | −14.0840 | + | 16.7847i | −0.654539 | + | 0.780049i | −0.986591 | − | 0.163212i | \(-0.947815\pi\) |
0.332052 | + | 0.943261i | \(0.392259\pi\) | |||||||
\(464\) | 2.97163 | + | 2.08076i | 0.137954 | + | 0.0965967i | ||||
\(465\) | 1.55510 | − | 0.881747i | 0.0721162 | − | 0.0408901i | ||||
\(466\) | 15.9549 | − | 7.43988i | 0.739096 | − | 0.344646i | ||||
\(467\) | 3.40375 | − | 5.89546i | 0.157507 | − | 0.272810i | −0.776462 | − | 0.630164i | \(-0.782988\pi\) |
0.933969 | + | 0.357354i | \(0.116321\pi\) | |||||||
\(468\) | −1.57527 | + | 8.93378i | −0.0728167 | + | 0.412964i | ||||
\(469\) | 14.0628 | − | 11.8001i | 0.649361 | − | 0.544878i | ||||
\(470\) | 6.00441 | + | 8.71908i | 0.276963 | + | 0.402181i | ||||
\(471\) | −2.81274 | − | 1.62393i | −0.129604 | − | 0.0748270i | ||||
\(472\) | 5.37781 | + | 3.76558i | 0.247534 | + | 0.173325i | ||||
\(473\) | 0.474394 | + | 0.821675i | 0.0218127 | + | 0.0377806i | ||||
\(474\) | −5.62354 | + | 2.04680i | −0.258298 | + | 0.0940126i | ||||
\(475\) | −7.11385 | + | 9.82981i | −0.326406 | + | 0.451023i | ||||
\(476\) | −1.28590 | − | 0.599625i | −0.0589391 | − | 0.0274837i | ||||
\(477\) | −7.31471 | + | 5.12181i | −0.334917 | + | 0.234512i | ||||
\(478\) | −28.3865 | + | 2.48350i | −1.29837 | + | 0.113592i | ||||
\(479\) | −9.41592 | − | 0.823786i | −0.430224 | − | 0.0376397i | −0.130013 | − | 0.991512i | \(-0.541502\pi\) |
−0.300212 | + | 0.953873i | \(0.597057\pi\) | |||||||
\(480\) | 1.66717 | − | 0.132771i | 0.0760954 | − | 0.00606012i | ||||
\(481\) | 13.0804 | − | 18.4416i | 0.596414 | − | 0.840865i | ||||
\(482\) | 12.4860 | + | 12.4860i | 0.568722 | + | 0.568722i | ||||
\(483\) | 3.09002 | − | 2.59284i | 0.140601 | − | 0.117978i | ||||
\(484\) | −6.05666 | − | 5.08214i | −0.275303 | − | 0.231007i | ||||
\(485\) | 0.396278 | − | 0.327286i | 0.0179941 | − | 0.0148613i | ||||
\(486\) | 6.51151 | − | 13.9640i | 0.295368 | − | 0.633419i | ||||
\(487\) | 13.6520 | 0.618632 | 0.309316 | − | 0.950959i | \(-0.399900\pi\) | ||||
0.309316 | + | 0.950959i | \(0.399900\pi\) | |||||||
\(488\) | 5.76288 | − | 12.3585i | 0.260873 | − | 0.559444i | ||||
\(489\) | 0.304113 | − | 1.13496i | 0.0137525 | − | 0.0513249i | ||||
\(490\) | 2.51336 | − | 4.27593i | 0.113542 | − | 0.193167i | ||||
\(491\) | 2.41488 | − | 4.18270i | 0.108982 | − | 0.188762i | −0.806376 | − | 0.591403i | \(-0.798574\pi\) |
0.915358 | + | 0.402641i | \(0.131908\pi\) | |||||||
\(492\) | −4.42297 | − | 1.18513i | −0.199403 | − | 0.0534298i | ||||
\(493\) | 0.147753 | − | 1.68882i | 0.00665445 | − | 0.0760607i | ||||
\(494\) | −7.38900 | + | 5.17383i | −0.332447 | + | 0.232782i | ||||
\(495\) | −9.04510 | + | 3.21252i | −0.406547 | + | 0.144392i | ||||
\(496\) | 0.451739 | + | 0.968758i | 0.0202837 | + | 0.0434985i | ||||
\(497\) | 11.7984 | + | 25.3017i | 0.529230 | + | 1.13494i | ||||
\(498\) | 2.37682 | − | 0.419097i | 0.106508 | − | 0.0187802i | ||||
\(499\) | −11.4252 | + | 0.999572i | −0.511460 | + | 0.0447470i | −0.339965 | − | 0.940438i | \(-0.610415\pi\) |
−0.171495 | + | 0.985185i | \(0.554860\pi\) | |||||||
\(500\) | 10.5926 | − | 3.57717i | 0.473717 | − | 0.159976i | ||||
\(501\) | 4.47093 | − | 6.38514i | 0.199746 | − | 0.285267i | ||||
\(502\) | 1.62116 | − | 0.755960i | 0.0723560 | − | 0.0337402i | ||||
\(503\) | 2.09914 | − | 5.76733i | 0.0935959 | − | 0.257153i | −0.884057 | − | 0.467380i | \(-0.845198\pi\) |
0.977653 | + | 0.210227i | \(0.0674203\pi\) | |||||||
\(504\) | −7.15746 | + | 1.91784i | −0.318819 | + | 0.0854272i | ||||
\(505\) | 21.5568 | + | 26.1009i | 0.959264 | + | 1.16148i | ||||
\(506\) | 2.00825 | + | 2.39334i | 0.0892776 | + | 0.106397i | ||||
\(507\) | 0.157948 | − | 0.589470i | 0.00701471 | − | 0.0261793i | ||||
\(508\) | −10.6272 | + | 2.84756i | −0.471507 | + | 0.126340i | ||||
\(509\) | −1.59081 | − | 9.02193i | −0.0705114 | − | 0.399890i | −0.999552 | − | 0.0299134i | \(-0.990477\pi\) |
0.929041 | − | 0.369977i | \(-0.120634\pi\) | |||||||
\(510\) | −0.443279 | − | 0.643691i | −0.0196287 | − | 0.0285031i | ||||
\(511\) | 4.30854 | + | 11.8376i | 0.190599 | + | 0.523666i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 9.27961 | − | 3.37750i | 0.409705 | − | 0.149120i | ||||
\(514\) | −1.56774 | − | 0.276435i | −0.0691502 | − | 0.0121930i | ||||
\(515\) | −4.51300 | − | 26.8153i | −0.198867 | − | 1.18162i | ||||
\(516\) | −0.0351642 | + | 0.401929i | −0.00154802 | + | 0.0176939i | ||||
\(517\) | −5.88825 | + | 5.88825i | −0.258965 | + | 0.258965i | ||||
\(518\) | 18.1677 | + | 3.31721i | 0.798245 | + | 0.145750i | ||||
\(519\) | 15.9119i | 0.698454i | ||||||||
\(520\) | 8.31116 | + | 0.0647934i | 0.364469 | + | 0.00284138i | ||||
\(521\) | −5.53652 | + | 6.59817i | −0.242559 | + | 0.289071i | −0.873565 | − | 0.486707i | \(-0.838198\pi\) |
0.631006 | + | 0.775778i | \(0.282642\pi\) | |||||||
\(522\) | −5.07826 | − | 7.25251i | −0.222270 | − | 0.317434i | ||||
\(523\) | 3.76801 | + | 10.3525i | 0.164764 | + | 0.452685i | 0.994408 | − | 0.105608i | \(-0.0336789\pi\) |
−0.829644 | + | 0.558293i | \(0.811457\pi\) | |||||||
\(524\) | 13.1133 | + | 13.1133i | 0.572855 | + | 0.572855i | ||||
\(525\) | 9.92039 | − | 5.52313i | 0.432961 | − | 0.241049i | ||||
\(526\) | 23.6920 | + | 6.34825i | 1.03302 | + | 0.276797i | ||||
\(527\) | 0.286510 | − | 0.409179i | 0.0124806 | − | 0.0178241i | ||||
\(528\) | 0.340482 | + | 1.27070i | 0.0148176 | + | 0.0553000i | ||||
\(529\) | −9.92236 | − | 17.1860i | −0.431407 | − | 0.747219i | ||||
\(530\) | 5.73979 | + | 5.82999i | 0.249321 | + | 0.253239i | ||||
\(531\) | −9.19022 | − | 13.1250i | −0.398822 | − | 0.569576i | ||||
\(532\) | −6.38092 | − | 3.68403i | −0.276648 | − | 0.159723i | ||||
\(533\) | −21.3835 | − | 7.78296i | −0.926222 | − | 0.337117i | ||||
\(534\) | −2.80693 | + | 7.71198i | −0.121468 | + | 0.333730i | ||||
\(535\) | −38.2611 | + | 9.93300i | −1.65417 | + | 0.429441i | ||||
\(536\) | 0.526979 | + | 6.02339i | 0.0227620 | + | 0.260171i | ||||
\(537\) | 7.51531 | + | 6.30609i | 0.324310 | + | 0.272128i | ||||
\(538\) | −2.25778 | − | 12.8045i | −0.0973397 | − | 0.552041i | ||||
\(539\) | 3.66610 | + | 1.33435i | 0.157910 | + | 0.0574746i | ||||
\(540\) | −8.77041 | − | 2.42346i | −0.377419 | − | 0.104289i | ||||
\(541\) | −0.998425 | − | 3.72617i | −0.0429256 | − | 0.160201i | 0.941136 | − | 0.338028i | \(-0.109760\pi\) |
−0.984062 | + | 0.177827i | \(0.943093\pi\) | |||||||
\(542\) | 19.5192 | + | 3.44176i | 0.838420 | + | 0.147836i | ||||
\(543\) | 8.41764 | + | 0.736448i | 0.361235 | + | 0.0316040i | ||||
\(544\) | 0.404707 | − | 0.233657i | 0.0173517 | − | 0.0100180i | ||||
\(545\) | 32.0859 | + | 15.2676i | 1.37441 | + | 0.653990i | ||||
\(546\) | 8.31247 | − | 1.46571i | 0.355741 | − | 0.0627267i | ||||
\(547\) | 26.9501 | − | 15.5597i | 1.15231 | − | 0.665284i | 0.202857 | − | 0.979208i | \(-0.434977\pi\) |
0.949448 | + | 0.313925i | \(0.101644\pi\) | |||||||
\(548\) | 8.58810 | + | 4.00469i | 0.366865 | + | 0.171072i | ||||
\(549\) | −23.5326 | + | 23.5326i | −1.00435 | + | 1.00435i | ||||
\(550\) | 4.27787 | + | 7.68372i | 0.182409 | + | 0.327635i | ||||
\(551\) | 1.52873 | − | 8.66987i | 0.0651262 | − | 0.369349i | ||||
\(552\) | 0.115793 | + | 1.32352i | 0.00492848 | + | 0.0563327i | ||||
\(553\) | −15.6151 | − | 18.6094i | −0.664023 | − | 0.791352i | ||||
\(554\) | 16.9874 | 0.721724 | ||||||||
\(555\) | 7.70165 | + | 6.64653i | 0.326917 | + | 0.282129i | ||||
\(556\) | 14.7721 | 0.626478 | ||||||||
\(557\) | 16.9526 | + | 20.2033i | 0.718304 | + | 0.856041i | 0.994465 | − | 0.105070i | \(-0.0335067\pi\) |
−0.276161 | + | 0.961111i | \(0.589062\pi\) | |||||||
\(558\) | −0.227368 | − | 2.59883i | −0.00962526 | − | 0.110017i | ||||
\(559\) | −0.348176 | + | 1.97460i | −0.0147263 | + | 0.0835168i | ||||
\(560\) | 2.82111 | + | 6.17511i | 0.119213 | + | 0.260946i | ||||
\(561\) | 0.434703 | − | 0.434703i | 0.0183532 | − | 0.0183532i | ||||
\(562\) | −23.1231 | − | 10.7825i | −0.975388 | − | 0.454831i | ||||
\(563\) | 34.0096 | − | 19.6354i | 1.43333 | − | 0.827535i | 0.435959 | − | 0.899967i | \(-0.356409\pi\) |
0.997373 | + | 0.0724318i | \(0.0230760\pi\) | |||||||
\(564\) | −3.48729 | + | 0.614904i | −0.146842 | + | 0.0258921i | ||||
\(565\) | 9.41986 | − | 3.34562i | 0.396296 | − | 0.140751i | ||||
\(566\) | 13.0806 | − | 7.55206i | 0.549817 | − | 0.317437i | ||||
\(567\) | 12.9398 | + | 1.13209i | 0.543421 | + | 0.0475432i | ||||
\(568\) | −9.05534 | − | 1.59670i | −0.379953 | − | 0.0669960i | ||||
\(569\) | 5.05635 | + | 18.8705i | 0.211973 | + | 0.791094i | 0.987210 | + | 0.159424i | \(0.0509637\pi\) |
−0.775237 | + | 0.631670i | \(0.782370\pi\) | |||||||
\(570\) | −2.00187 | − | 3.53062i | −0.0838491 | − | 0.147881i | ||||
\(571\) | −6.05300 | − | 2.20311i | −0.253310 | − | 0.0921974i | 0.212244 | − | 0.977217i | \(-0.431923\pi\) |
−0.465554 | + | 0.885019i | \(0.654145\pi\) | |||||||
\(572\) | 1.13525 | + | 6.43832i | 0.0474672 | + | 0.269200i | ||||
\(573\) | −1.30664 | − | 1.09640i | −0.0545858 | − | 0.0458030i | ||||
\(574\) | −1.62002 | − | 18.5169i | −0.0676184 | − | 0.772881i | ||||
\(575\) | 2.90718 | + | 8.39228i | 0.121238 | + | 0.349982i | ||||
\(576\) | 0.834729 | − | 2.29340i | 0.0347804 | − | 0.0955583i | ||||
\(577\) | 5.24855 | + | 1.91031i | 0.218500 | + | 0.0795274i | 0.448951 | − | 0.893557i | \(-0.351798\pi\) |
−0.230451 | + | 0.973084i | \(0.574020\pi\) | |||||||
\(578\) | 14.5333 | + | 8.39081i | 0.604506 | + | 0.349012i | ||||
\(579\) | 2.12676 | + | 3.03733i | 0.0883853 | + | 0.126227i | ||||
\(580\) | −5.78042 | + | 5.69099i | −0.240019 | + | 0.236305i | ||||
\(581\) | 4.89857 | + | 8.48457i | 0.203227 | + | 0.351999i | ||||
\(582\) | 0.0444944 | + | 0.166056i | 0.00184435 | + | 0.00688322i | ||||
\(583\) | −3.69114 | + | 5.27150i | −0.152872 | + | 0.218323i | ||||
\(584\) | −4.00775 | − | 1.07387i | −0.165842 | − | 0.0444372i | ||||
\(585\) | −19.0067 | − | 7.08617i | −0.785832 | − | 0.292977i | ||||
\(586\) | 7.85003 | + | 7.85003i | 0.324282 | + | 0.324282i | ||||
\(587\) | 4.71510 | + | 12.9546i | 0.194613 | + | 0.534694i | 0.998166 | − | 0.0605389i | \(-0.0192819\pi\) |
−0.803553 | + | 0.595233i | \(0.797060\pi\) | |||||||
\(588\) | 0.951582 | + | 1.35900i | 0.0392426 | + | 0.0560442i | ||||
\(589\) | 1.66739 | − | 1.98712i | 0.0687038 | − | 0.0818779i | ||||
\(590\) | −10.4609 | + | 10.2991i | −0.430670 | + | 0.424007i | ||||
\(591\) | − | 19.8699i | − | 0.817336i | ||||||
\(592\) | −4.32717 | + | 4.27499i | −0.177846 | + | 0.175701i | ||||
\(593\) | 14.3975 | − | 14.3975i | 0.591234 | − | 0.591234i | −0.346731 | − | 0.937965i | \(-0.612708\pi\) |
0.937965 | + | 0.346731i | \(0.112708\pi\) | |||||||
\(594\) | 0.623792 | − | 7.12998i | 0.0255945 | − | 0.292546i | ||||
\(595\) | 1.83994 | − | 2.58458i | 0.0754301 | − | 0.105958i | ||||
\(596\) | −13.7630 | − | 2.42679i | −0.563755 | − | 0.0994052i | ||||
\(597\) | 9.09111 | − | 3.30889i | 0.372074 | − | 0.135424i | ||||
\(598\) | 6.60251i | 0.269997i | ||||||||
\(599\) | 12.2453 | + | 33.6436i | 0.500328 | + | 1.37464i | 0.890956 | + | 0.454090i | \(0.150036\pi\) |
−0.390628 | + | 0.920549i | \(0.627742\pi\) | |||||||
\(600\) | −0.383981 | + | 3.71994i | −0.0156759 | + | 0.151866i | ||||
\(601\) | 2.87031 | + | 16.2783i | 0.117082 | + | 0.664007i | 0.985698 | + | 0.168521i | \(0.0538990\pi\) |
−0.868616 | + | 0.495486i | \(0.834990\pi\) | |||||||
\(602\) | −1.58199 | + | 0.423893i | −0.0644770 | + | 0.0172766i | ||||
\(603\) | 3.81933 | − | 14.2539i | 0.155535 | − | 0.580465i | ||||
\(604\) | 7.39855 | + | 8.81725i | 0.301043 | + | 0.358769i | ||||
\(605\) | 13.6313 | − | 11.2581i | 0.554191 | − | 0.457707i | ||||
\(606\) | −10.9373 | + | 2.93063i | −0.444296 | + | 0.119049i | ||||
\(607\) | −14.6775 | + | 40.3261i | −0.595741 | + | 1.63679i | 0.163925 | + | 0.986473i | \(0.447584\pi\) |
−0.759667 | + | 0.650313i | \(0.774638\pi\) | |||||||
\(608\) | 2.19941 | − | 1.02560i | 0.0891980 | − | 0.0415937i | ||||
\(609\) | −4.72509 | + | 6.74813i | −0.191470 | + | 0.273448i | ||||
\(610\) | 24.8399 | + | 17.6833i | 1.00574 | + | 0.715975i | ||||
\(611\) | −17.5309 | + | 1.53376i | −0.709224 | + | 0.0620491i | ||||
\(612\) | −1.12319 | + | 0.198050i | −0.0454025 | + | 0.00800568i | ||||
\(613\) | −1.50906 | − | 3.23618i | −0.0609502 | − | 0.130708i | 0.873473 | − | 0.486872i | \(-0.161862\pi\) |
−0.934423 | + | 0.356164i | \(0.884084\pi\) | |||||||
\(614\) | −12.3613 | − | 26.5089i | −0.498862 | − | 1.06981i | ||||
\(615\) | 4.39937 | − | 9.24562i | 0.177400 | − | 0.372819i | ||||
\(616\) | −4.37439 | + | 3.06298i | −0.176249 | + | 0.123411i | ||||
\(617\) | −1.71562 | + | 19.6096i | −0.0690681 | + | 0.789452i | 0.880122 | + | 0.474748i | \(0.157461\pi\) |
−0.949190 | + | 0.314704i | \(0.898095\pi\) | |||||||
\(618\) | 8.78564 | + | 2.35411i | 0.353410 | + | 0.0946960i | ||||
\(619\) | −1.14636 | + | 1.98555i | −0.0460761 | + | 0.0798062i | −0.888144 | − | 0.459566i | \(-0.848005\pi\) |
0.842068 | + | 0.539372i | \(0.181338\pi\) | |||||||
\(620\) | −2.31346 | + | 0.600599i | −0.0929107 | + | 0.0241206i | ||||
\(621\) | 1.87080 | − | 6.98193i | 0.0750727 | − | 0.280175i | ||||
\(622\) | 8.95742 | − | 19.2092i | 0.359160 | − | 0.770221i | ||||
\(623\) | −33.3146 | −1.33472 | ||||||||
\(624\) | −1.17491 | + | 2.51961i | −0.0470341 | + | 0.100865i | ||||
\(625\) | 3.57148 | + | 24.7436i | 0.142859 | + | 0.989743i | ||||
\(626\) | −9.60837 | − | 8.06238i | −0.384028 | − | 0.322237i | ||||
\(627\) | 2.44559 | − | 2.05209i | 0.0976674 | − | 0.0819527i | ||||
\(628\) | 3.07055 | + | 3.07055i | 0.122528 | + | 0.122528i | ||||
\(629\) | 2.74119 | + | 0.752351i | 0.109299 | + | 0.0299982i | ||||
\(630\) | −1.31538 | − | 16.5169i | −0.0524059 | − | 0.658048i | ||||
\(631\) | −4.59243 | − | 0.401785i | −0.182822 | − | 0.0159948i | −0.00462280 | − | 0.999989i | \(-0.501471\pi\) |
−0.178199 | + | 0.983994i | \(0.557027\pi\) | |||||||
\(632\) | 7.97078 | − | 0.697353i | 0.317061 | − | 0.0277392i | ||||
\(633\) | 5.77872 | − | 4.04631i | 0.229684 | − | 0.160826i | ||||
\(634\) | −25.8140 | − | 12.0373i | −1.02520 | − | 0.478060i | ||||
\(635\) | −1.95304 | − | 24.5238i | −0.0775039 | − | 0.973198i | ||||
\(636\) | −2.57153 | + | 0.935960i | −0.101968 | + | 0.0371132i | ||||
\(637\) | 4.12238 | + | 7.14017i | 0.163335 | + | 0.282904i | ||||
\(638\) | −5.22668 | − | 3.65976i | −0.206926 | − | 0.144891i | ||||
\(639\) | 19.4347 | + | 11.2206i | 0.768824 | + | 0.443881i | ||||
\(640\) | −2.19900 | − | 0.405444i | −0.0869232 | − | 0.0160266i | ||||
\(641\) | 12.1681 | − | 10.2103i | 0.480612 | − | 0.403282i | −0.370035 | − | 0.929018i | \(-0.620654\pi\) |
0.850648 | + | 0.525736i | \(0.176210\pi\) | |||||||
\(642\) | 2.29601 | − | 13.0213i | 0.0906161 | − | 0.513910i | ||||
\(643\) | −19.7808 | + | 34.2613i | −0.780077 | + | 1.35113i | 0.151820 | + | 0.988408i | \(0.451487\pi\) |
−0.931896 | + | 0.362725i | \(0.881847\pi\) | |||||||
\(644\) | −4.88783 | + | 2.27923i | −0.192608 | + | 0.0898144i | ||||
\(645\) | −0.869586 | − | 0.240286i | −0.0342399 | − | 0.00946126i | ||||
\(646\) | −0.928978 | − | 0.650477i | −0.0365501 | − | 0.0255927i | ||||
\(647\) | 10.8250 | − | 12.9007i | 0.425574 | − | 0.507179i | −0.510066 | − | 0.860135i | \(-0.670379\pi\) |
0.935640 | + | 0.352956i | \(0.114824\pi\) | |||||||
\(648\) | −2.74998 | + | 3.27730i | −0.108029 | + | 0.128744i | ||||
\(649\) | −9.45881 | − | 6.62313i | −0.371291 | − | 0.259981i | ||||
\(650\) | −3.51219 | + | 18.2500i | −0.137760 | + | 0.715824i | ||||
\(651\) | −2.19990 | + | 1.02583i | −0.0862211 | + | 0.0402055i | ||||
\(652\) | −0.785491 | + | 1.36051i | −0.0307622 | + | 0.0532817i | ||||
\(653\) | 1.20479 | − | 6.83272i | 0.0471472 | − | 0.267385i | −0.952117 | − | 0.305733i | \(-0.901098\pi\) |
0.999264 | + | 0.0383480i | \(0.0122096\pi\) | |||||||
\(654\) | −9.10478 | + | 7.63982i | −0.356025 | + | 0.298741i | ||||
\(655\) | −34.1528 | + | 23.5194i | −1.33446 | + | 0.918979i | ||||
\(656\) | 5.30193 | + | 3.06107i | 0.207005 | + | 0.119515i | ||||
\(657\) | 8.29499 | + | 5.80821i | 0.323618 | + | 0.226600i | ||||
\(658\) | −7.18723 | − | 12.4486i | −0.280187 | − | 0.485299i | ||||
\(659\) | 35.9901 | − | 13.0993i | 1.40198 | − | 0.510278i | 0.473212 | − | 0.880948i | \(-0.343094\pi\) |
0.928764 | + | 0.370671i | \(0.120872\pi\) | |||||||
\(660\) | −2.93231 | + | 0.233525i | −0.114140 | + | 0.00908994i | ||||
\(661\) | 0.642026 | + | 0.299382i | 0.0249719 | + | 0.0116446i | 0.435064 | − | 0.900399i | \(-0.356726\pi\) |
−0.410092 | + | 0.912044i | \(0.634503\pi\) | |||||||
\(662\) | 4.23328 | − | 2.96418i | 0.164531 | − | 0.115206i | ||||
\(663\) | 1.29423 | − | 0.113230i | 0.0502637 | − | 0.00439750i | ||||
\(664\) | −3.21456 | − | 0.281238i | −0.124749 | − | 0.0109141i | ||||
\(665\) | 10.6883 | − | 12.5380i | 0.414474 | − | 0.486203i | ||||
\(666\) | 13.4924 | − | 6.19225i | 0.522820 | − | 0.239945i | ||||
\(667\) | −4.55653 | − | 4.55653i | −0.176430 | − | 0.176430i | ||||
\(668\) | −7.98349 | + | 6.69895i | −0.308891 | + | 0.259190i | ||||
\(669\) | 14.3143 | + | 12.0111i | 0.553421 | + | 0.464376i | ||||
\(670\) | −13.4591 | − | 1.28332i | −0.519971 | − | 0.0495791i | ||||
\(671\) | −10.1361 | + | 21.7369i | −0.391300 | + | 0.839145i | ||||
\(672\) | −2.27085 | −0.0876000 | ||||||||
\(673\) | 11.0901 | − | 23.7829i | 0.427493 | − | 0.916762i | −0.568098 | − | 0.822961i | \(-0.692320\pi\) |
0.995591 | − | 0.0938011i | \(-0.0299018\pi\) | |||||||
\(674\) | 6.75200 | − | 25.1988i | 0.260077 | − | 0.970622i | ||||
\(675\) | 8.88511 | − | 18.3036i | 0.341988 | − | 0.704506i | ||||
\(676\) | −0.407963 | + | 0.706612i | −0.0156909 | + | 0.0271774i | ||||
\(677\) | −35.2344 | − | 9.44104i | −1.35417 | − | 0.362849i | −0.492497 | − | 0.870314i | \(-0.663916\pi\) |
−0.861672 | + | 0.507465i | \(0.830583\pi\) | |||||||
\(678\) | −0.291420 | + | 3.33095i | −0.0111919 | + | 0.127924i | ||||
\(679\) | −0.571648 | + | 0.400272i | −0.0219378 | + | 0.0153610i | ||||
\(680\) | 0.349728 | + | 0.984686i | 0.0134114 | + | 0.0377610i | ||||
\(681\) | 4.09970 | + | 8.79184i | 0.157101 | + | 0.336904i | ||||
\(682\) | −0.794546 | − | 1.70391i | −0.0304247 | − | 0.0652460i | ||||
\(683\) | −3.87625 | + | 0.683488i | −0.148321 | + | 0.0261529i | −0.247315 | − | 0.968935i | \(-0.579548\pi\) |
0.0989948 | + | 0.995088i | \(0.468437\pi\) | |||||||
\(684\) | −5.90023 | + | 0.516204i | −0.225601 | + | 0.0197375i | ||||
\(685\) | −12.2883 | + | 17.2616i | −0.469513 | + | 0.659531i | ||||
\(686\) | 8.32742 | − | 11.8928i | 0.317942 | − | 0.454069i | ||||
\(687\) | −12.7562 | + | 5.94833i | −0.486681 | + | 0.226943i | ||||
\(688\) | 0.184497 | − | 0.506902i | 0.00703389 | − | 0.0193255i | ||||
\(689\) | −13.1363 | + | 3.51985i | −0.500452 | + | 0.134096i | ||||
\(690\) | −2.95737 | − | 0.281984i | −0.112585 | − | 0.0107350i | ||||
\(691\) | 15.8809 | + | 18.9261i | 0.604136 | + | 0.719981i | 0.978256 | − | 0.207399i | \(-0.0664997\pi\) |
−0.374120 | + | 0.927380i | \(0.622055\pi\) | |||||||
\(692\) | 5.50618 | − | 20.5494i | 0.209314 | − | 0.781169i | ||||
\(693\) | 12.5890 | − | 3.37321i | 0.478216 | − | 0.128137i | ||||
\(694\) | −5.75121 | − | 32.6168i | −0.218313 | − | 1.23811i | ||||
\(695\) | −5.98928 | + | 32.4840i | −0.227186 | + | 1.23219i | ||||
\(696\) | −0.928002 | − | 2.54966i | −0.0351758 | − | 0.0966448i | ||||
\(697\) | − | 2.86097i | − | 0.108367i | ||||||
\(698\) | −9.06845 | + | 3.30065i | −0.343246 | + | 0.124931i | ||||
\(699\) | −12.9669 | − | 2.28642i | −0.490454 | − | 0.0864802i | ||||
\(700\) | −14.7229 | + | 3.69996i | −0.556473 | + | 0.139845i | ||||
\(701\) | −2.38140 | + | 27.2195i | −0.0899442 | + | 1.02807i | 0.808359 | + | 0.588690i | \(0.200356\pi\) |
−0.898303 | + | 0.439377i | \(0.855199\pi\) | |||||||
\(702\) | 10.6952 | − | 10.6952i | 0.403663 | − | 0.403663i | ||||
\(703\) | 13.8404 | + | 5.13279i | 0.522002 | + | 0.193587i | ||||
\(704\) | − | 1.75886i | − | 0.0662895i | ||||||
\(705\) | 0.0617274 | − | 7.91788i | 0.00232479 | − | 0.298205i | ||||
\(706\) | −7.16094 | + | 8.53407i | −0.269505 | + | 0.321184i | ||||
\(707\) | −26.3640 | − | 37.6517i | −0.991520 | − | 1.41604i | ||||
\(708\) | −1.67942 | − | 4.61417i | −0.0631165 | − | 0.173411i | ||||
\(709\) | 11.1105 | + | 11.1105i | 0.417264 | + | 0.417264i | 0.884260 | − | 0.466996i | \(-0.154664\pi\) |
−0.466996 | + | 0.884260i | \(0.654664\pi\) | |||||||
\(710\) | 7.18258 | − | 19.2653i | 0.269557 | − | 0.723015i | ||||
\(711\) | −18.8623 | − | 5.05413i | −0.707391 | − | 0.189545i | ||||
\(712\) | 6.29367 | − | 8.98830i | 0.235865 | − | 0.336851i | ||||
\(713\) | −0.491422 | − | 1.83401i | −0.0184039 | − | 0.0686843i | ||||
\(714\) | 0.530601 | + | 0.919028i | 0.0198573 | + | 0.0343938i | ||||
\(715\) | −14.6182 | − | 0.113963i | −0.546689 | − | 0.00426196i | ||||
\(716\) | −7.52345 | − | 10.7446i | −0.281165 | − | 0.401545i | ||||
\(717\) | 18.4572 | + | 10.6563i | 0.689296 | + | 0.397965i | ||||
\(718\) | −4.35982 | − | 1.58685i | −0.162707 | − | 0.0592205i | ||||
\(719\) | −3.20927 | + | 8.81740i | −0.119686 | + | 0.328833i | −0.985040 | − | 0.172327i | \(-0.944871\pi\) |
0.865354 | + | 0.501161i | \(0.167094\pi\) | |||||||
\(720\) | 4.70476 | + | 2.76542i | 0.175336 | + | 0.103061i | ||||
\(721\) | 3.21796 | + | 36.7814i | 0.119843 | + | 1.36981i | ||||
\(722\) | 10.0434 | + | 8.42741i | 0.373776 | + | 0.313636i | ||||
\(723\) | −2.29338 | − | 13.0064i | −0.0852917 | − | 0.483713i | ||||
\(724\) | −10.6161 | − | 3.86394i | −0.394544 | − | 0.143602i | ||||
\(725\) | −10.1709 | − | 15.0185i | −0.377736 | − | 0.557775i | ||||
\(726\) | 1.53053 | + | 5.71203i | 0.0568034 | + | 0.211993i | ||||
\(727\) | 30.1471 | + | 5.31574i | 1.11809 | + | 0.197150i | 0.702003 | − | 0.712174i | \(-0.252289\pi\) |
0.416089 | + | 0.909324i | \(0.363400\pi\) | |||||||
\(728\) | −11.2423 | − | 0.983575i | −0.416668 | − | 0.0364537i | ||||
\(729\) | 1.13509 | − | 0.655347i | 0.0420405 | − | 0.0242721i | ||||
\(730\) | 3.98637 | − | 8.37767i | 0.147542 | − | 0.310071i | ||||
\(731\) | −0.248256 | + | 0.0437742i | −0.00918207 | + | 0.00161905i | ||||
\(732\) | −8.83261 | + | 5.09951i | −0.326463 | + | 0.188483i | ||||
\(733\) | 29.1915 | + | 13.6122i | 1.07821 | + | 0.502778i | 0.878826 | − | 0.477143i | \(-0.158328\pi\) |
0.199385 | + | 0.979921i | \(0.436105\pi\) | |||||||
\(734\) | −0.467595 | + | 0.467595i | −0.0172593 | + | 0.0172593i | ||||
\(735\) | −3.37426 | + | 1.54153i | −0.124461 | + | 0.0568603i | ||||
\(736\) | 0.308453 | − | 1.74933i | 0.0113697 | − | 0.0644810i | ||||
\(737\) | −0.926881 | − | 10.5943i | −0.0341421 | − | 0.390246i | ||||
\(738\) | −9.60427 | − | 11.4459i | −0.353538 | − | 0.421330i | ||||
\(739\) | −31.4675 | −1.15755 | −0.578775 | − | 0.815487i | \(-0.696469\pi\) | ||||
−0.578775 | + | 0.815487i | \(0.696469\pi\) | |||||||
\(740\) | −7.64630 | − | 11.2487i | −0.281084 | − | 0.413512i | ||||
\(741\) | 6.74665 | 0.247844 | ||||||||
\(742\) | −7.14048 | − | 8.50970i | −0.262135 | − | 0.312401i | ||||
\(743\) | 3.44095 | + | 39.3302i | 0.126236 | + | 1.44289i | 0.750085 | + | 0.661341i | \(0.230012\pi\) |
−0.623849 | + | 0.781545i | \(0.714432\pi\) | |||||||
\(744\) | 0.138828 | − | 0.787332i | 0.00508968 | − | 0.0288650i | ||||
\(745\) | 10.9167 | − | 29.2810i | 0.399955 | − | 1.07277i | ||||
\(746\) | −23.6731 | + | 23.6731i | −0.866733 | + | 0.866733i | ||||
\(747\) | 7.13752 | + | 3.32828i | 0.261148 | + | 0.121775i | ||||
\(748\) | −0.711822 | + | 0.410971i | −0.0260268 | + | 0.0150266i | ||||
\(749\) | 52.8578 | − | 9.32025i | 1.93138 | − | 0.340554i | ||||
\(750\) | −8.02447 | − | 2.35260i | −0.293012 | − | 0.0859049i | ||||
\(751\) | −15.4966 | + | 8.94694i | −0.565477 | + | 0.326478i | −0.755341 | − | 0.655332i | \(-0.772529\pi\) |
0.189864 | + | 0.981810i | \(0.439195\pi\) | |||||||
\(752\) | 4.71644 | + | 0.412635i | 0.171991 | + | 0.0150472i | ||||
\(753\) | −1.31756 | − | 0.232321i | −0.0480144 | − | 0.00846624i | ||||
\(754\) | −3.48993 | − | 13.0246i | −0.127096 | − | 0.474327i | ||||
\(755\) | −22.3889 | + | 12.6945i | −0.814814 | + | 0.462002i | ||||
\(756\) | 11.6097 | + | 4.22558i | 0.422240 | + | 0.153683i | ||||
\(757\) | −8.61560 | − | 48.8615i | −0.313139 | − | 1.77590i | −0.582470 | − | 0.812852i | \(-0.697914\pi\) |
0.269331 | − | 0.963048i | \(-0.413198\pi\) | |||||||
\(758\) | 24.4783 | + | 20.5398i | 0.889094 | + | 0.746038i | ||||
\(759\) | −0.203664 | − | 2.32789i | −0.00739252 | − | 0.0844969i | ||||
\(760\) | 1.36357 | + | 5.25234i | 0.0494617 | + | 0.190522i | ||||
\(761\) | 5.25558 | − | 14.4396i | 0.190515 | − | 0.523435i | −0.807254 | − | 0.590205i | \(-0.799047\pi\) |
0.997768 | + | 0.0667697i | \(0.0212693\pi\) | |||||||
\(762\) | 7.73266 | + | 2.81446i | 0.280125 | + | 0.101957i | ||||
\(763\) | −41.7831 | − | 24.1235i | −1.51265 | − | 0.873329i | ||||
\(764\) | 1.30806 | + | 1.86810i | 0.0473239 | + | 0.0675856i | ||||
\(765\) | 0.0198813 | − | 2.55021i | 0.000718810 | − | 0.0922029i | ||||
\(766\) | −6.19782 | − | 10.7349i | −0.223936 | − | 0.387869i | ||||
\(767\) | −6.31578 | − | 23.5708i | −0.228050 | − | 0.851093i | ||||
\(768\) | 0.429001 | − | 0.612677i | 0.0154802 | − | 0.0221081i | ||||
\(769\) | 23.1587 | + | 6.20537i | 0.835126 | + | 0.223771i | 0.650949 | − | 0.759122i | \(-0.274371\pi\) |
0.184177 | + | 0.982893i | \(0.441038\pi\) | |||||||
\(770\) | −4.96193 | − | 10.8612i | −0.178816 | − | 0.391409i | ||||
\(771\) | 0.841929 | + | 0.841929i | 0.0303213 | + | 0.0303213i | ||||
\(772\) | −1.69556 | − | 4.65851i | −0.0610245 | − | 0.167663i | ||||
\(773\) | 3.35278 | + | 4.78827i | 0.120591 | + | 0.172222i | 0.874909 | − | 0.484287i | \(-0.160921\pi\) |
−0.754318 | + | 0.656509i | \(0.772032\pi\) | |||||||
\(774\) | −0.846252 | + | 1.00852i | −0.0304179 | + | 0.0362506i | ||||
\(775\) | −0.382741 | − | 5.33081i | −0.0137484 | − | 0.191488i | ||||
\(776\) | − | 0.229849i | − | 0.00825109i | ||||||
\(777\) | −9.70788 | − | 9.82636i | −0.348268 | − | 0.352519i | ||||
\(778\) | −4.85279 | + | 4.85279i | −0.173981 | + | 0.173981i | ||||
\(779\) | 1.29488 | − | 14.8006i | 0.0463940 | − | 0.530285i | ||||
\(780\) | −5.06426 | − | 3.60520i | −0.181330 | − | 0.129087i | ||||
\(781\) | 15.9271 | + | 2.80837i | 0.569915 | + | 0.100491i | ||||
\(782\) | −0.780036 | + | 0.283910i | −0.0278940 | + | 0.0101526i | ||||
\(783\) | 14.7619i | 0.527548i | ||||||||
\(784\) | −0.758646 | − | 2.08436i | −0.0270945 | − | 0.0744416i | ||||
\(785\) | −7.99709 | + | 5.50722i | −0.285428 | + | 0.196561i | ||||
\(786\) | −2.40859 | − | 13.6598i | −0.0859115 | − | 0.487229i | ||||
\(787\) | −43.2853 | + | 11.5983i | −1.54295 | + | 0.413433i | −0.927219 | − | 0.374521i | \(-0.877807\pi\) |
−0.615734 | + | 0.787954i | \(0.711141\pi\) | |||||||
\(788\) | −6.87581 | + | 25.6609i | −0.244941 | + | 0.914130i | ||||
\(789\) | −11.7921 | − | 14.0533i | −0.419811 | − | 0.500311i | ||||
\(790\) | −1.69823 | + | 17.8105i | −0.0604202 | + | 0.633669i | ||||
\(791\) | −13.1106 | + | 3.51297i | −0.466158 | + | 0.124907i | ||||
\(792\) | −1.46817 | + | 4.03377i | −0.0521692 | + | 0.143334i | ||||
\(793\) | −45.9364 | + | 21.4205i | −1.63125 | + | 0.760664i | ||||
\(794\) | −21.4429 | + | 30.6236i | −0.760980 | + | 1.08679i | ||||
\(795\) | −1.01557 | − | 6.03428i | −0.0360185 | − | 0.214014i | ||||
\(796\) | −12.8857 | + | 1.12735i | −0.456722 | + | 0.0399580i | ||||
\(797\) | 15.1860 | − | 2.67769i | 0.537914 | − | 0.0948488i | 0.101910 | − | 0.994794i | \(-0.467504\pi\) |
0.436004 | + | 0.899945i | \(0.356393\pi\) | |||||||
\(798\) | 2.32899 | + | 4.99454i | 0.0824454 | + | 0.176805i | ||||
\(799\) | −0.935035 | − | 2.00519i | −0.0330792 | − | 0.0709385i | ||||
\(800\) | 1.78315 | − | 4.67123i | 0.0630437 | − | 0.165153i | ||||
\(801\) | −21.9367 | + | 15.3602i | −0.775095 | + | 0.542727i | ||||
\(802\) | 0.0674701 | − | 0.771186i | 0.00238245 | − | 0.0272315i | ||||
\(803\) | 7.04908 | + | 1.88879i | 0.248757 | + | 0.0666541i | ||||
\(804\) | 2.26117 | − | 3.91647i | 0.0797455 | − | 0.138123i | ||||
\(805\) | −3.03030 | − | 11.6725i | −0.106804 | − | 0.411400i | ||||
\(806\) | 1.02831 | − | 3.83772i | 0.0362208 | − | 0.135178i | ||||
\(807\) | −4.10985 | + | 8.81361i | −0.144674 | + | 0.310254i | ||||
\(808\) | 15.1390 | 0.532589 | ||||||||
\(809\) | −1.07587 | + | 2.30721i | −0.0378256 | + | 0.0811173i | −0.924313 | − | 0.381636i | \(-0.875361\pi\) |
0.886487 | + | 0.462754i | \(0.153138\pi\) | |||||||
\(810\) | −6.09183 | − | 7.37598i | −0.214045 | − | 0.259165i | ||||
\(811\) | −6.09988 | − | 5.11841i | −0.214196 | − | 0.179732i | 0.529377 | − | 0.848387i | \(-0.322426\pi\) |
−0.743573 | + | 0.668655i | \(0.766870\pi\) | |||||||
\(812\) | 8.43734 | − | 7.07977i | 0.296093 | − | 0.248451i | ||||
\(813\) | −10.4824 | − | 10.4824i | −0.367635 | − | 0.367635i | ||||
\(814\) | 7.61089 | − | 7.51912i | 0.266762 | − | 0.263545i | ||||
\(815\) | −2.67330 | − | 2.27891i | −0.0936414 | − | 0.0798267i | ||||
\(816\) | −0.348194 | − | 0.0304630i | −0.0121892 | − | 0.00106642i | ||||
\(817\) | −1.30411 | + | 0.114095i | −0.0456250 | + | 0.00399167i | ||||
\(818\) | 24.0355 | − | 16.8298i | 0.840381 | − | 0.588441i | ||||
\(819\) | 24.9621 | + | 11.6400i | 0.872246 | + | 0.406735i | ||||
\(820\) | −8.88094 | + | 10.4179i | −0.310136 | + | 0.363807i | ||||
\(821\) | −35.3912 | + | 12.8814i | −1.23516 | + | 0.449562i | −0.875363 | − | 0.483467i | \(-0.839377\pi\) |
−0.359800 | + | 0.933029i | \(0.617155\pi\) | |||||||
\(822\) | −3.54371 | − | 6.13789i | −0.123601 | − | 0.214083i | ||||
\(823\) | −34.9877 | − | 24.4987i | −1.21960 | − | 0.853971i | −0.226818 | − | 0.973937i | \(-0.572832\pi\) |
−0.992778 | + | 0.119967i | \(0.961721\pi\) | |||||||
\(824\) | −10.5316 | − | 6.08041i | −0.366885 | − | 0.211821i | ||||
\(825\) | 0.675368 | − | 6.54285i | 0.0235133 | − | 0.227793i | ||||
\(826\) | 15.2692 | − | 12.8124i | 0.531284 | − | 0.445800i | ||||
\(827\) | −2.47399 | + | 14.0307i | −0.0860291 | + | 0.487895i | 0.911101 | + | 0.412184i | \(0.135234\pi\) |
−0.997130 | + | 0.0757113i | \(0.975877\pi\) | |||||||
\(828\) | −2.16762 | + | 3.75443i | −0.0753300 | + | 0.130475i | ||||
\(829\) | −25.7924 | + | 12.0272i | −0.895806 | + | 0.417721i | −0.815304 | − | 0.579033i | \(-0.803430\pi\) |
−0.0805022 | + | 0.996754i | \(0.525652\pi\) | |||||||
\(830\) | 1.92177 | − | 6.95481i | 0.0667056 | − | 0.241405i | ||||
\(831\) | −10.4078 | − | 7.28760i | −0.361042 | − | 0.252804i | ||||
\(832\) | 2.38923 | − | 2.84737i | 0.0828316 | − | 0.0987148i | ||||
\(833\) | −0.666292 | + | 0.794056i | −0.0230857 | + | 0.0275124i | ||||
\(834\) | −9.05055 | − | 6.33726i | −0.313395 | − | 0.219441i | ||||
\(835\) | −11.4941 | − | 20.2718i | −0.397771 | − | 0.701534i | ||||
\(836\) | −3.86846 | + | 1.80389i | −0.133793 | + | 0.0623889i | ||||
\(837\) | −2.17481 | + | 3.76689i | −0.0751726 | + | 0.130203i | ||||
\(838\) | −6.82412 | + | 38.7015i | −0.235735 | + | 1.33692i | ||||
\(839\) | 12.6620 | − | 10.6247i | 0.437142 | − | 0.366806i | −0.397497 | − | 0.917604i | \(-0.630121\pi\) |
0.834639 | + | 0.550798i | \(0.185676\pi\) | |||||||
\(840\) | 0.920703 | − | 4.99361i | 0.0317673 | − | 0.172296i | ||||
\(841\) | −13.7177 | − | 7.91994i | −0.473025 | − | 0.273101i | ||||
\(842\) | −9.91939 | − | 6.94563i | −0.341845 | − | 0.239362i | ||||
\(843\) | 9.54129 | + | 16.5260i | 0.328619 | + | 0.569186i | ||||
\(844\) | −8.86311 | + | 3.22591i | −0.305081 | + | 0.111040i | ||||
\(845\) | −1.38844 | − | 1.18360i | −0.0477637 | − | 0.0407172i | ||||
\(846\) | −10.4722 | − | 4.88329i | −0.360043 | − | 0.167891i | ||||
\(847\) | −19.6637 | + | 13.7687i | −0.675653 | + | 0.473097i | ||||
\(848\) | 3.64488 | − | 0.318885i | 0.125166 | − | 0.0109506i | ||||
\(849\) | −11.2540 | − | 0.984597i | −0.386236 | − | 0.0337913i | ||||
\(850\) | −2.30712 | + | 0.369817i | −0.0791337 | + | 0.0126846i | ||||
\(851\) | 8.88827 | − | 6.14363i | 0.304686 | − | 0.210601i | ||||
\(852\) | 4.86301 | + | 4.86301i | 0.166604 | + | 0.166604i | ||||
\(853\) | 21.8098 | − | 18.3006i | 0.746752 | − | 0.626600i | −0.187890 | − | 0.982190i | \(-0.560165\pi\) |
0.934642 | + | 0.355591i | \(0.115720\pi\) | |||||||
\(854\) | −31.7151 | − | 26.6122i | −1.08527 | − | 0.910650i | ||||
\(855\) | 1.25708 | − | 13.1839i | 0.0429913 | − | 0.450881i | ||||
\(856\) | −7.47109 | + | 16.0218i | −0.255357 | + | 0.547614i | ||||
\(857\) | −9.09625 | −0.310722 | −0.155361 | − | 0.987858i | \(-0.549654\pi\) | ||||
−0.155361 | + | 0.987858i | \(0.549654\pi\) | |||||||
\(858\) | 2.06651 | − | 4.43164i | 0.0705493 | − | 0.151294i | ||||
\(859\) | 5.79269 | − | 21.6186i | 0.197644 | − | 0.737618i | −0.793922 | − | 0.608019i | \(-0.791964\pi\) |
0.991567 | − | 0.129599i | \(-0.0413690\pi\) | |||||||
\(860\) | 1.03988 | + | 0.611230i | 0.0354595 | + | 0.0208428i | ||||
\(861\) | −6.95123 | + | 12.0399i | −0.236897 | + | 0.410318i | ||||
\(862\) | 35.2628 | + | 9.44864i | 1.20106 | + | 0.321822i | ||||
\(863\) | −3.18625 | + | 36.4190i | −0.108461 | + | 1.23972i | 0.725627 | + | 0.688088i | \(0.241550\pi\) |
−0.834088 | + | 0.551631i | \(0.814006\pi\) | |||||||
\(864\) | −3.33332 | + | 2.33402i | −0.113402 | + | 0.0794049i | ||||
\(865\) | 42.9556 | + | 20.4397i | 1.46054 | + | 0.694972i | ||||
\(866\) | 3.40215 | + | 7.29593i | 0.115610 | + | 0.247926i | ||||
\(867\) | −5.30456 | − | 11.3757i | −0.180152 | − | 0.386338i | ||||
\(868\) | 3.19604 | − | 0.563548i | 0.108481 | − | 0.0191281i | ||||
\(869\) | −14.0195 | + | 1.22655i | −0.475578 | + | 0.0416077i | ||||
\(870\) | 5.98297 | − | 1.00693i | 0.202842 | − | 0.0341382i | ||||
\(871\) | 12.8908 | − | 18.4099i | 0.436786 | − | 0.623796i | ||||
\(872\) | 14.4021 | − | 6.71579i | 0.487715 | − | 0.227425i | ||||
\(873\) | −0.191862 | + | 0.527135i | −0.00649353 | + | 0.0178408i | ||||
\(874\) | −4.16384 | + | 1.11570i | −0.140844 | + | 0.0377390i | ||||
\(875\) | −2.16690 | − | 33.8758i | −0.0732547 | − | 1.14521i | ||||
\(876\) | 1.99477 | + | 2.37727i | 0.0673969 | + | 0.0803205i | ||||
\(877\) | 8.47010 | − | 31.6108i | 0.286015 | − | 1.06742i | −0.662080 | − | 0.749434i | \(-0.730326\pi\) |
0.948095 | − | 0.317989i | \(-0.103007\pi\) | |||||||
\(878\) | 31.7347 | − | 8.50328i | 1.07099 | − | 0.286972i | ||||
\(879\) | −1.44186 | − | 8.17721i | −0.0486328 | − | 0.275810i | ||||
\(880\) | 3.86774 | + | 0.713120i | 0.130381 | + | 0.0240393i | ||||
\(881\) | 14.3034 | + | 39.2983i | 0.481894 | + | 1.32399i | 0.907868 | + | 0.419257i | \(0.137709\pi\) |
−0.425974 | + | 0.904735i | \(0.640068\pi\) | |||||||
\(882\) | 5.41354i | 0.182284i | ||||||||
\(883\) | −3.35896 | + | 1.22256i | −0.113038 | + | 0.0411425i | −0.397920 | − | 0.917420i | \(-0.630268\pi\) |
0.284882 | + | 0.958563i | \(0.408046\pi\) | |||||||
\(884\) | −1.71061 | − | 0.301627i | −0.0575341 | − | 0.0101448i | ||||
\(885\) | 10.8275 | − | 1.82226i | 0.363962 | − | 0.0612547i | ||||
\(886\) | −3.27923 | + | 37.4817i | −0.110168 | + | 1.25922i | ||||
\(887\) | 19.5362 | − | 19.5362i | 0.655962 | − | 0.655962i | −0.298460 | − | 0.954422i | \(-0.596473\pi\) |
0.954422 | + | 0.298460i | \(0.0964731\pi\) | |||||||
\(888\) | 4.48514 | − | 0.762829i | 0.150511 | − | 0.0255989i | ||||
\(889\) | 33.4039i | 1.12033i | ||||||||
\(890\) | 17.2136 | + | 17.4841i | 0.577000 | + | 0.586067i | ||||
\(891\) | 4.83683 | − | 5.76431i | 0.162040 | − | 0.193112i | ||||
\(892\) | −14.3298 | − | 20.4650i | −0.479796 | − | 0.685220i | ||||
\(893\) | −3.92964 | − | 10.7966i | −0.131500 | − | 0.361294i | ||||
\(894\) | 7.39119 | + | 7.39119i | 0.247198 | + | 0.247198i | ||||
\(895\) | 26.6778 | − | 12.1878i | 0.891739 | − | 0.407392i | ||||
\(896\) | 2.93268 | + | 0.785810i | 0.0979741 | + | 0.0262521i | ||||
\(897\) | 2.83248 | − | 4.04521i | 0.0945739 | − | 0.135066i | ||||
\(898\) | 4.10338 | + | 15.3140i | 0.136932 | + | 0.511036i | ||||
\(899\) | 1.93883 | + | 3.35815i | 0.0646636 | + | 0.112001i | ||||
\(900\) | −7.98868 | + | 9.22455i | −0.266289 | + | 0.307485i | ||||
\(901\) | −0.980707 | − | 1.40060i | −0.0326721 | − | 0.0466606i | ||||
\(902\) | −9.32534 | − | 5.38399i | −0.310500 | − | 0.179267i | ||||
\(903\) | 1.15110 | + | 0.418966i | 0.0383062 | + | 0.0139423i | ||||
\(904\) | 1.52900 | − | 4.20090i | 0.0508538 | − | 0.139720i | ||||
\(905\) | 12.8011 | − | 21.7782i | 0.425521 | − | 0.723932i | ||||
\(906\) | −0.750313 | − | 8.57612i | −0.0249275 | − | 0.284922i | ||||
\(907\) | −9.05634 | − | 7.59917i | −0.300711 | − | 0.252326i | 0.479929 | − | 0.877307i | \(-0.340662\pi\) |
−0.780640 | + | 0.624981i | \(0.785107\pi\) | |||||||
\(908\) | −2.25220 | − | 12.7729i | −0.0747419 | − | 0.423883i | ||||
\(909\) | −34.7199 | − | 12.6370i | −1.15159 | − | 0.419143i | ||||
\(910\) | 6.72102 | − | 24.3231i | 0.222800 | − | 0.806303i | ||||
\(911\) | 14.0480 | + | 52.4279i | 0.465431 | + | 1.73701i | 0.655456 | + | 0.755234i | \(0.272477\pi\) |
−0.190025 | + | 0.981779i | \(0.560857\pi\) | |||||||
\(912\) | −1.78752 | − | 0.315187i | −0.0591905 | − | 0.0104369i | ||||
\(913\) | 5.65396 | + | 0.494658i | 0.187119 | + | 0.0163708i | ||||
\(914\) | 6.27257 | − | 3.62147i | 0.207478 | − | 0.119788i | ||||
\(915\) | −7.63271 | − | 21.4905i | −0.252329 | − | 0.710454i | ||||
\(916\) | 18.5324 | − | 3.26776i | 0.612327 | − | 0.107970i | ||||
\(917\) | 48.7616 | − | 28.1525i | 1.61025 | − | 0.929677i | ||||
\(918\) | 1.72345 | + | 0.803657i | 0.0568822 | + | 0.0265246i | ||||
\(919\) | −25.3658 | + | 25.3658i | −0.836742 | + | 0.836742i | −0.988429 | − | 0.151687i | \(-0.951529\pi\) |
0.151687 | + | 0.988429i | \(0.451529\pi\) | |||||||
\(920\) | 3.72171 | + | 1.38754i | 0.122701 | + | 0.0457460i | ||||
\(921\) | −3.79886 | + | 21.5444i | −0.125177 | + | 0.709913i | ||||
\(922\) | 2.07755 | + | 23.7465i | 0.0684204 | + | 0.782049i | ||||
\(923\) | 21.9690 | + | 26.1817i | 0.723119 | + | 0.861780i | ||||
\(924\) | 3.99411 | 0.131397 | ||||||||
\(925\) | 27.8362 | − | 12.2535i | 0.915247 | − | 0.402893i | ||||
\(926\) | −21.9108 | −0.720034 | ||||||||
\(927\) | 19.0776 | + | 22.7358i | 0.626591 | + | 0.746742i | ||||
\(928\) | 0.316174 | + | 3.61388i | 0.0103789 | + | 0.118632i | ||||
\(929\) | 3.74853 | − | 21.2590i | 0.122985 | − | 0.697484i | −0.859499 | − | 0.511138i | \(-0.829224\pi\) |
0.982484 | − | 0.186347i | \(-0.0596647\pi\) | |||||||
\(930\) | 1.67506 | + | 0.624502i | 0.0549274 | + | 0.0204782i | ||||
\(931\) | −3.80631 | + | 3.80631i | −0.124747 | + | 0.124747i | ||||
\(932\) | 15.9549 | + | 7.43988i | 0.522620 | + | 0.243702i | ||||
\(933\) | −13.7288 | + | 7.92632i | −0.449461 | + | 0.259496i | ||||
\(934\) | 6.70407 | − | 1.18211i | 0.219364 | − | 0.0386798i | ||||
\(935\) | −0.615122 | − | 1.73192i | −0.0201166 | − | 0.0566400i | ||||
\(936\) | −7.85624 | + | 4.53580i | −0.256789 | + | 0.148257i | ||||
\(937\) | 13.5629 | + | 1.18660i | 0.443082 | + | 0.0387646i | 0.306514 | − | 0.951866i | \(-0.400837\pi\) |
0.136568 | + | 0.990631i | \(0.456393\pi\) | |||||||
\(938\) | 18.0788 | + | 3.18778i | 0.590294 | + | 0.104085i | ||||
\(939\) | 2.42806 | + | 9.06164i | 0.0792367 | + | 0.295715i | ||||
\(940\) | −2.81964 | + | 10.2042i | −0.0919665 | + | 0.332823i | ||||
\(941\) | 19.0488 | + | 6.93321i | 0.620975 | + | 0.226016i | 0.633298 | − | 0.773908i | \(-0.281701\pi\) |
−0.0123237 | + | 0.999924i | \(0.503923\pi\) | |||||||
\(942\) | −0.563987 | − | 3.19853i | −0.0183757 | − | 0.104214i | ||||
\(943\) | −8.33060 | − | 6.99020i | −0.271282 | − | 0.227632i | ||||
\(944\) | 0.572186 | + | 6.54011i | 0.0186231 | + | 0.212862i | ||||
\(945\) | −13.9991 | + | 23.8165i | −0.455392 | + | 0.774750i | ||||
\(946\) | −0.324505 | + | 0.891569i | −0.0105506 | + | 0.0289874i | ||||
\(947\) | 32.4870 | + | 11.8243i | 1.05569 | + | 0.384238i | 0.810806 | − | 0.585315i | \(-0.199029\pi\) |
0.244880 | + | 0.969553i | \(0.421251\pi\) | |||||||
\(948\) | −5.18268 | − | 2.99222i | −0.168326 | − | 0.0971828i | ||||
\(949\) | 8.84583 | + | 12.6332i | 0.287148 | + | 0.410090i | ||||
\(950\) | −12.1028 | + | 0.868953i | −0.392666 | + | 0.0281925i | ||||
\(951\) | 10.6516 | + | 18.4492i | 0.345403 | + | 0.598255i | ||||
\(952\) | −0.367221 | − | 1.37049i | −0.0119017 | − | 0.0444177i | ||||
\(953\) | 7.22089 | − | 10.3125i | 0.233907 | − | 0.334054i | −0.684989 | − | 0.728553i | \(-0.740193\pi\) |
0.918896 | + | 0.394499i | \(0.129082\pi\) | |||||||
\(954\) | −8.62534 | − | 2.31115i | −0.279256 | − | 0.0748263i | ||||
\(955\) | −4.63831 | + | 2.11902i | −0.150092 | + | 0.0685697i | ||||
\(956\) | −20.1489 | − | 20.1489i | −0.651664 | − | 0.651664i | ||||
\(957\) | 1.63222 | + | 4.48450i | 0.0527623 | + | 0.144963i | ||||
\(958\) | −5.42138 | − | 7.74253i | −0.175157 | − | 0.250150i | ||||
\(959\) | 18.4931 | − | 22.0392i | 0.597174 | − | 0.711684i | ||||
\(960\) | 1.17334 | + | 1.19178i | 0.0378695 | + | 0.0384646i | ||||
\(961\) | − | 29.8574i | − | 0.963143i | ||||||
\(962\) | 22.5350 | − | 1.83389i | 0.726557 | − | 0.0591271i | ||||
\(963\) | 30.5081 | − | 30.5081i | 0.983109 | − | 0.983109i | ||||
\(964\) | −1.53899 | + | 17.5907i | −0.0495674 | + | 0.566558i | ||||
\(965\) | 10.9315 | − | 1.83977i | 0.351898 | − | 0.0592244i | ||||
\(966\) | 3.97246 | + | 0.700451i | 0.127812 | + | 0.0225367i | ||||
\(967\) | −11.6157 | + | 4.22775i | −0.373534 | + | 0.135955i | −0.521964 | − | 0.852968i | \(-0.674800\pi\) |
0.148430 | + | 0.988923i | \(0.452578\pi\) | |||||||
\(968\) | − | 7.90641i | − | 0.254122i | ||||||
\(969\) | 0.290108 | + | 0.797065i | 0.00931961 | + | 0.0256054i | ||||
\(970\) | 0.505438 | + | 0.0931909i | 0.0162286 | + | 0.00299218i | ||||
\(971\) | 6.00393 | + | 34.0500i | 0.192675 | + | 1.09272i | 0.915691 | + | 0.401884i | \(0.131644\pi\) |
−0.723015 | + | 0.690832i | \(0.757244\pi\) | |||||||
\(972\) | 14.8825 | − | 3.98777i | 0.477358 | − | 0.127908i | ||||
\(973\) | 11.6081 | − | 43.3220i | 0.372138 | − | 1.38884i | ||||
\(974\) | 8.77535 | + | 10.4581i | 0.281180 | + | 0.335098i | ||||
\(975\) | 9.98111 | − | 9.67462i | 0.319651 | − | 0.309836i | ||||
\(976\) | 13.1715 | − | 3.52929i | 0.421609 | − | 0.112970i | ||||
\(977\) | −6.37142 | + | 17.5053i | −0.203840 | + | 0.560045i | −0.998920 | − | 0.0464587i | \(-0.985206\pi\) |
0.795080 | + | 0.606504i | \(0.207429\pi\) | |||||||
\(978\) | 1.06491 | − | 0.496577i | 0.0340522 | − | 0.0158788i | ||||
\(979\) | −11.0697 | + | 15.8092i | −0.353789 | + | 0.505263i | ||||
\(980\) | 4.89111 | − | 0.823173i | 0.156241 | − | 0.0262953i | ||||
\(981\) | −38.6355 | + | 3.38017i | −1.23354 | + | 0.107921i | ||||
\(982\) | 4.75639 | − | 0.838679i | 0.151782 | − | 0.0267633i | ||||
\(983\) | −7.74874 | − | 16.6172i | −0.247146 | − | 0.530007i | 0.743126 | − | 0.669152i | \(-0.233342\pi\) |
−0.990272 | + | 0.139145i | \(0.955565\pi\) | |||||||
\(984\) | −1.93517 | − | 4.14998i | −0.0616909 | − | 0.132296i | ||||
\(985\) | −53.6406 | − | 25.5240i | −1.70913 | − | 0.813261i | ||||
\(986\) | 1.38869 | − | 0.972369i | 0.0442248 | − | 0.0309665i | ||||
\(987\) | −0.937033 | + | 10.7103i | −0.0298261 | + | 0.340914i | ||||
\(988\) | −8.71294 | − | 2.33463i | −0.277196 | − | 0.0742744i | ||||
\(989\) | −0.479101 | + | 0.829828i | −0.0152345 | + | 0.0263870i | ||||
\(990\) | −8.27501 | − | 4.86398i | −0.262997 | − | 0.154587i | ||||
\(991\) | 5.99937 | − | 22.3900i | 0.190576 | − | 0.711240i | −0.802791 | − | 0.596260i | \(-0.796653\pi\) |
0.993368 | − | 0.114980i | \(-0.0366805\pi\) | |||||||
\(992\) | −0.451739 | + | 0.968758i | −0.0143427 | + | 0.0307581i | ||||
\(993\) | −3.86527 | −0.122661 | ||||||||
\(994\) | −11.7984 | + | 25.3017i | −0.374222 | + | 0.802522i | ||||
\(995\) | 2.74538 | − | 28.7928i | 0.0870345 | − | 0.912793i | ||||
\(996\) | 1.84884 | + | 1.55136i | 0.0585827 | + | 0.0491567i | ||||
\(997\) | 17.9337 | − | 15.0482i | 0.567966 | − | 0.476580i | −0.313004 | − | 0.949752i | \(-0.601335\pi\) |
0.880970 | + | 0.473172i | \(0.156891\pi\) | |||||||
\(998\) | −8.10966 | − | 8.10966i | −0.256707 | − | 0.256707i | ||||
\(999\) | −24.3496 | − | 4.44595i | −0.770388 | − | 0.140664i |
(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 | 370.2.bd.a.187.4 | yes | 108 | |
5.3 | odd | 4 | 370.2.ba.a.113.6 | ✓ | 108 | ||
37.19 | odd | 36 | 370.2.ba.a.167.6 | yes | 108 | ||
185.93 | even | 36 | inner | 370.2.bd.a.93.4 | yes | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.ba.a.113.6 | ✓ | 108 | 5.3 | odd | 4 | ||
370.2.ba.a.167.6 | yes | 108 | 37.19 | odd | 36 | ||
370.2.bd.a.93.4 | yes | 108 | 185.93 | even | 36 | inner | |
370.2.bd.a.187.4 | yes | 108 | 1.1 | even | 1 | trivial |