Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 517.37 | ||
Character | \(\chi\) | \(=\) | 576.517 |
Dual form | 576.2.bm.a.205.37 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(e\left(\frac{1}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.536807 | − | 1.30837i | −0.379580 | − | 0.925159i | ||||
\(3\) | 1.62674 | − | 0.594749i | 0.939197 | − | 0.343379i | ||||
\(4\) | −1.42368 | + | 1.40469i | −0.711838 | + | 0.702344i | ||||
\(5\) | −1.11981 | + | 1.27690i | −0.500795 | + | 0.571047i | −0.945911 | − | 0.324425i | \(-0.894829\pi\) |
0.445116 | + | 0.895473i | \(0.353162\pi\) | |||||||
\(6\) | −1.65140 | − | 1.80911i | −0.674180 | − | 0.738567i | ||||
\(7\) | −2.38568 | + | 0.314080i | −0.901700 | + | 0.118711i | −0.567100 | − | 0.823649i | \(-0.691935\pi\) |
−0.334600 | + | 0.942360i | \(0.608601\pi\) | |||||||
\(8\) | 2.60209 | + | 1.10865i | 0.919979 | + | 0.391967i | ||||
\(9\) | 2.29255 | − | 1.93500i | 0.764182 | − | 0.645001i | ||||
\(10\) | 2.27178 | + | 0.779681i | 0.718401 | + | 0.246557i | ||||
\(11\) | −2.80867 | + | 5.69543i | −0.846847 | + | 1.71724i | −0.164279 | + | 0.986414i | \(0.552530\pi\) |
−0.682568 | + | 0.730822i | \(0.739137\pi\) | |||||||
\(12\) | −1.48051 | + | 3.13179i | −0.427386 | + | 0.904069i | ||||
\(13\) | −0.870768 | + | 2.56520i | −0.241508 | + | 0.711459i | 0.756819 | + | 0.653625i | \(0.226753\pi\) |
−0.998326 | + | 0.0578336i | \(0.981581\pi\) | |||||||
\(14\) | 1.69158 | + | 2.95275i | 0.452094 | + | 0.789156i | ||||
\(15\) | −1.06220 | + | 2.74319i | −0.274260 | + | 0.708288i | ||||
\(16\) | 0.0537046 | − | 3.99964i | 0.0134261 | − | 0.999910i | ||||
\(17\) | 2.76608 | − | 2.76608i | 0.670874 | − | 0.670874i | −0.287044 | − | 0.957917i | \(-0.592673\pi\) |
0.957917 | + | 0.287044i | \(0.0926725\pi\) | |||||||
\(18\) | −3.76236 | − | 1.96078i | −0.886796 | − | 0.462160i | ||||
\(19\) | 1.19129 | + | 5.98901i | 0.273300 | + | 1.37397i | 0.836643 | + | 0.547749i | \(0.184515\pi\) |
−0.563342 | + | 0.826224i | \(0.690485\pi\) | |||||||
\(20\) | −0.199398 | − | 3.39088i | −0.0445867 | − | 0.758223i | ||||
\(21\) | −3.69407 | + | 1.92980i | −0.806112 | + | 0.421118i | ||||
\(22\) | 8.95946 | + | 0.617443i | 1.91016 | + | 0.131639i | ||||
\(23\) | 0.265750 | − | 2.01857i | 0.0554128 | − | 0.420902i | −0.941145 | − | 0.338003i | \(-0.890249\pi\) |
0.996558 | − | 0.0828992i | \(-0.0264180\pi\) | |||||||
\(24\) | 4.89229 | + | 0.255890i | 0.998635 | + | 0.0522332i | ||||
\(25\) | 0.276134 | + | 2.09745i | 0.0552268 | + | 0.419489i | ||||
\(26\) | 3.82367 | − | 0.237730i | 0.749884 | − | 0.0466226i | ||||
\(27\) | 2.57853 | − | 4.51123i | 0.496238 | − | 0.868186i | ||||
\(28\) | 2.95524 | − | 3.79828i | 0.558488 | − | 0.717807i | ||||
\(29\) | −7.63523 | − | 0.500439i | −1.41783 | − | 0.0929293i | −0.662885 | − | 0.748721i | \(-0.730668\pi\) |
−0.754942 | + | 0.655792i | \(0.772335\pi\) | |||||||
\(30\) | 4.15931 | − | 0.0828066i | 0.759383 | − | 0.0151183i | ||||
\(31\) | 6.62077 | + | 3.82250i | 1.18912 | + | 0.686541i | 0.958108 | − | 0.286408i | \(-0.0924614\pi\) |
0.231017 | + | 0.972950i | \(0.425795\pi\) | |||||||
\(32\) | −5.26185 | + | 2.07677i | −0.930172 | + | 0.367125i | ||||
\(33\) | −1.18162 | + | 10.9354i | −0.205694 | + | 1.90361i | ||||
\(34\) | −5.10392 | − | 2.13421i | −0.875315 | − | 0.366014i | ||||
\(35\) | 2.27046 | − | 3.39798i | 0.383777 | − | 0.574364i | ||||
\(36\) | −0.545769 | + | 5.97513i | −0.0909616 | + | 0.995854i | ||||
\(37\) | −1.71391 | + | 8.61640i | −0.281765 | + | 1.41653i | 0.537574 | + | 0.843217i | \(0.319341\pi\) |
−0.819339 | + | 0.573310i | \(0.805659\pi\) | |||||||
\(38\) | 7.19636 | − | 4.77359i | 1.16740 | − | 0.774379i | ||||
\(39\) | 0.109140 | + | 4.69079i | 0.0174765 | + | 0.751128i | ||||
\(40\) | −4.32949 | + | 2.08114i | −0.684553 | + | 0.329056i | ||||
\(41\) | 0.539925 | − | 4.10114i | 0.0843221 | − | 0.640490i | −0.896138 | − | 0.443775i | \(-0.853639\pi\) |
0.980461 | − | 0.196716i | \(-0.0630276\pi\) | |||||||
\(42\) | 4.50791 | + | 3.79728i | 0.695585 | + | 0.585933i | ||||
\(43\) | 5.33531 | + | 2.63108i | 0.813627 | + | 0.401236i | 0.800986 | − | 0.598684i | \(-0.204309\pi\) |
0.0126415 | + | 0.999920i | \(0.495976\pi\) | |||||||
\(44\) | −4.00166 | − | 12.0538i | −0.603272 | − | 1.81717i | ||||
\(45\) | −0.0964158 | + | 5.09419i | −0.0143728 | + | 0.759397i | ||||
\(46\) | −2.78370 | + | 0.735885i | −0.410435 | + | 0.108500i | ||||
\(47\) | −4.40576 | − | 1.18052i | −0.642646 | − | 0.172196i | −0.0772444 | − | 0.997012i | \(-0.524612\pi\) |
−0.565402 | + | 0.824816i | \(0.691279\pi\) | |||||||
\(48\) | −2.29142 | − | 6.53830i | −0.330738 | − | 0.943723i | ||||
\(49\) | −1.16868 | + | 0.313147i | −0.166954 | + | 0.0447353i | ||||
\(50\) | 2.59601 | − | 1.48721i | 0.367131 | − | 0.210323i | ||||
\(51\) | 2.85456 | − | 6.14482i | 0.399719 | − | 0.860446i | ||||
\(52\) | −2.36361 | − | 4.87517i | −0.327774 | − | 0.676064i | ||||
\(53\) | −2.39492 | − | 3.58425i | −0.328967 | − | 0.492334i | 0.629710 | − | 0.776830i | \(-0.283174\pi\) |
−0.958677 | + | 0.284496i | \(0.908174\pi\) | |||||||
\(54\) | −7.28654 | − | 0.952015i | −0.991573 | − | 0.129553i | ||||
\(55\) | −4.12731 | − | 9.96421i | −0.556526 | − | 1.34357i | ||||
\(56\) | −6.55596 | − | 1.82761i | −0.876077 | − | 0.244225i | ||||
\(57\) | 5.49987 | + | 9.03402i | 0.728476 | + | 1.19659i | ||||
\(58\) | 3.44389 | + | 10.2584i | 0.452204 | + | 1.34699i | ||||
\(59\) | −5.68362 | + | 6.48093i | −0.739944 | + | 0.843745i | −0.992296 | − | 0.123891i | \(-0.960463\pi\) |
0.252352 | + | 0.967636i | \(0.418796\pi\) | |||||||
\(60\) | −2.34109 | − | 5.39748i | −0.302234 | − | 0.696811i | ||||
\(61\) | 0.678007 | − | 10.3444i | 0.0868099 | − | 1.32446i | −0.703035 | − | 0.711156i | \(-0.748172\pi\) |
0.789845 | − | 0.613307i | \(-0.210161\pi\) | |||||||
\(62\) | 1.44718 | − | 10.7144i | 0.183792 | − | 1.36073i | ||||
\(63\) | −4.86153 | + | 5.33633i | −0.612495 | + | 0.672314i | ||||
\(64\) | 5.54179 | + | 5.76963i | 0.692723 | + | 0.721203i | ||||
\(65\) | −2.30041 | − | 3.98443i | −0.285331 | − | 0.494207i | ||||
\(66\) | 14.9419 | − | 4.32421i | 1.83922 | − | 0.532274i | ||||
\(67\) | 11.2700 | − | 5.55777i | 1.37685 | − | 0.678989i | 0.404944 | − | 0.914341i | \(-0.367291\pi\) |
0.971910 | + | 0.235352i | \(0.0756244\pi\) | |||||||
\(68\) | −0.0525220 | + | 7.82349i | −0.00636923 | + | 0.948737i | ||||
\(69\) | −0.768240 | − | 3.44174i | −0.0924852 | − | 0.414337i | ||||
\(70\) | −5.66462 | − | 1.14654i | −0.677052 | − | 0.137038i | ||||
\(71\) | 1.14357 | − | 2.76083i | 0.135717 | − | 0.327650i | −0.841380 | − | 0.540444i | \(-0.818256\pi\) |
0.977097 | + | 0.212794i | \(0.0682563\pi\) | |||||||
\(72\) | 8.11066 | − | 2.49342i | 0.955851 | − | 0.293853i | ||||
\(73\) | −3.73050 | − | 9.00622i | −0.436622 | − | 1.05410i | −0.977108 | − | 0.212745i | \(-0.931760\pi\) |
0.540486 | − | 0.841353i | \(-0.318240\pi\) | |||||||
\(74\) | 12.1935 | − | 2.38292i | 1.41746 | − | 0.277008i | ||||
\(75\) | 1.69665 | + | 3.24776i | 0.195913 | + | 0.375020i | ||||
\(76\) | −10.1087 | − | 6.85302i | −1.15955 | − | 0.786095i | ||||
\(77\) | 4.91176 | − | 14.4696i | 0.559747 | − | 1.64896i | ||||
\(78\) | 6.07872 | − | 2.66085i | 0.688279 | − | 0.301282i | ||||
\(79\) | −3.75042 | + | 13.9967i | −0.421955 | + | 1.57476i | 0.348529 | + | 0.937298i | \(0.386681\pi\) |
−0.770484 | + | 0.637459i | \(0.779985\pi\) | |||||||
\(80\) | 5.04700 | + | 4.54742i | 0.564272 | + | 0.508417i | ||||
\(81\) | 1.51154 | − | 8.87216i | 0.167949 | − | 0.985796i | ||||
\(82\) | −5.65565 | + | 1.49510i | −0.624562 | + | 0.165106i | ||||
\(83\) | 2.32322 | − | 2.03741i | 0.255006 | − | 0.223635i | −0.522292 | − | 0.852767i | \(-0.674923\pi\) |
0.777298 | + | 0.629132i | \(0.216590\pi\) | |||||||
\(84\) | 2.54838 | − | 7.93643i | 0.278051 | − | 0.865935i | ||||
\(85\) | 0.434521 | + | 6.62951i | 0.0471304 | + | 0.719071i | ||||
\(86\) | 0.578403 | − | 8.39296i | 0.0623708 | − | 0.905036i | ||||
\(87\) | −12.7181 | + | 3.72696i | −1.36353 | + | 0.399573i | ||||
\(88\) | −13.6227 | + | 11.7062i | −1.45218 | + | 1.24789i | ||||
\(89\) | 14.7802 | + | 6.12217i | 1.56670 | + | 0.648948i | 0.986237 | − | 0.165338i | \(-0.0528716\pi\) |
0.580463 | + | 0.814287i | \(0.302872\pi\) | |||||||
\(90\) | 6.71686 | − | 2.60845i | 0.708019 | − | 0.274955i | ||||
\(91\) | 1.27169 | − | 6.39323i | 0.133310 | − | 0.670192i | ||||
\(92\) | 2.45712 | + | 3.24709i | 0.256173 | + | 0.338533i | ||||
\(93\) | 13.0437 | + | 2.28051i | 1.35257 | + | 0.236478i | ||||
\(94\) | 0.820485 | + | 6.39808i | 0.0846266 | + | 0.659912i | ||||
\(95\) | −8.98139 | − | 5.18541i | −0.921471 | − | 0.532012i | ||||
\(96\) | −7.32448 | + | 6.50784i | −0.747552 | + | 0.664204i | ||||
\(97\) | −7.37158 | + | 4.25599i | −0.748471 | + | 0.432130i | −0.825141 | − | 0.564927i | \(-0.808904\pi\) |
0.0766702 | + | 0.997057i | \(0.475571\pi\) | |||||||
\(98\) | 1.03707 | + | 1.36097i | 0.104760 | + | 0.137479i | ||||
\(99\) | 4.58165 | + | 18.4918i | 0.460473 | + | 1.85850i | ||||
\(100\) | −3.33938 | − | 2.59820i | −0.333938 | − | 0.259820i | ||||
\(101\) | −2.67997 | + | 0.909727i | −0.266667 | + | 0.0905212i | −0.451570 | − | 0.892235i | \(-0.649136\pi\) |
0.184904 | + | 0.982757i | \(0.440803\pi\) | |||||||
\(102\) | −9.57206 | − | 0.436249i | −0.947775 | − | 0.0431951i | ||||
\(103\) | 2.49797 | − | 1.91676i | 0.246133 | − | 0.188864i | −0.478326 | − | 0.878182i | \(-0.658756\pi\) |
0.724459 | + | 0.689318i | \(0.242090\pi\) | |||||||
\(104\) | −5.10973 | + | 5.70951i | −0.501050 | + | 0.559864i | ||||
\(105\) | 1.67249 | − | 6.87797i | 0.163218 | − | 0.671222i | ||||
\(106\) | −3.40392 | + | 5.05750i | −0.330618 | + | 0.491227i | ||||
\(107\) | −0.224449 | + | 0.149972i | −0.0216983 | + | 0.0144983i | −0.566372 | − | 0.824150i | \(-0.691653\pi\) |
0.544674 | + | 0.838648i | \(0.316653\pi\) | |||||||
\(108\) | 2.66588 | + | 10.0446i | 0.256524 | + | 0.966538i | ||||
\(109\) | −0.0751852 | − | 0.377981i | −0.00720143 | − | 0.0362040i | 0.977017 | − | 0.213159i | \(-0.0683753\pi\) |
−0.984219 | + | 0.176955i | \(0.943375\pi\) | |||||||
\(110\) | −10.8213 | + | 10.7489i | −1.03177 | + | 1.02487i | ||||
\(111\) | 2.33652 | + | 15.0360i | 0.221773 | + | 1.42715i | ||||
\(112\) | 1.12809 | + | 9.55871i | 0.106594 | + | 0.903213i | ||||
\(113\) | −3.24264 | + | 0.868862i | −0.305042 | + | 0.0817357i | −0.408093 | − | 0.912940i | \(-0.633806\pi\) |
0.103051 | + | 0.994676i | \(0.467139\pi\) | |||||||
\(114\) | 8.86750 | − | 12.0454i | 0.830517 | − | 1.12816i | ||||
\(115\) | 2.27993 | + | 2.59976i | 0.212604 | + | 0.242429i | ||||
\(116\) | 11.5731 | − | 10.0127i | 1.07453 | − | 0.929651i | ||||
\(117\) | 2.96739 | + | 7.56578i | 0.274335 | + | 0.699456i | ||||
\(118\) | 11.5305 | + | 3.95728i | 1.06147 | + | 0.364297i | ||||
\(119\) | −5.73020 | + | 7.46775i | −0.525287 | + | 0.684567i | ||||
\(120\) | −5.80519 | + | 5.96042i | −0.529939 | + | 0.544110i | ||||
\(121\) | −17.8529 | − | 23.2663i | −1.62299 | − | 2.11512i | ||||
\(122\) | −13.8983 | + | 4.66586i | −1.25829 | + | 0.422427i | ||||
\(123\) | −1.56083 | − | 6.99259i | −0.140736 | − | 0.630501i | ||||
\(124\) | −14.7952 | + | 3.85811i | −1.32865 | + | 0.346468i | ||||
\(125\) | −10.0482 | − | 6.71396i | −0.898734 | − | 0.600515i | ||||
\(126\) | 9.59161 | + | 3.49610i | 0.854488 | + | 0.311458i | ||||
\(127\) | 13.7021 | 1.21587 | 0.607934 | − | 0.793987i | \(-0.291998\pi\) | ||||
0.607934 | + | 0.793987i | \(0.291998\pi\) | |||||||
\(128\) | 4.57395 | − | 10.3479i | 0.404284 | − | 0.914634i | ||||
\(129\) | 10.2440 | + | 1.10691i | 0.901932 | + | 0.0974579i | ||||
\(130\) | −3.97824 | + | 5.14866i | −0.348914 | + | 0.451567i | ||||
\(131\) | −4.90199 | + | 2.41739i | −0.428289 | + | 0.211209i | −0.643641 | − | 0.765328i | \(-0.722577\pi\) |
0.215352 | + | 0.976537i | \(0.430910\pi\) | |||||||
\(132\) | −13.6786 | − | 17.2283i | −1.19057 | − | 1.49953i | ||||
\(133\) | −4.72305 | − | 13.9137i | −0.409541 | − | 1.20647i | ||||
\(134\) | −13.3215 | − | 11.7620i | −1.15080 | − | 1.01608i | ||||
\(135\) | 2.87292 | + | 8.34425i | 0.247262 | + | 0.718159i | ||||
\(136\) | 10.2642 | − | 4.13099i | 0.880150 | − | 0.354229i | ||||
\(137\) | 8.02935 | − | 10.4641i | 0.685994 | − | 0.894005i | −0.312440 | − | 0.949937i | \(-0.601146\pi\) |
0.998435 | + | 0.0559325i | \(0.0178132\pi\) | |||||||
\(138\) | −4.09069 | + | 2.85270i | −0.348222 | + | 0.242838i | ||||
\(139\) | −1.83821 | + | 0.120483i | −0.155915 | + | 0.0102192i | −0.143161 | − | 0.989699i | \(-0.545727\pi\) |
−0.0127543 | + | 0.999919i | \(0.504060\pi\) | |||||||
\(140\) | 1.54071 | + | 8.02691i | 0.130213 | + | 0.678398i | ||||
\(141\) | −7.86912 | + | 0.699928i | −0.662700 | + | 0.0589445i | ||||
\(142\) | −4.22607 | − | 0.0141854i | −0.354644 | − | 0.00119042i | ||||
\(143\) | −12.1642 | − | 12.1642i | −1.01722 | − | 1.01722i | ||||
\(144\) | −7.61619 | − | 9.27328i | −0.634682 | − | 0.772773i | ||||
\(145\) | 9.18903 | − | 9.18903i | 0.763108 | − | 0.763108i | ||||
\(146\) | −9.78093 | + | 9.71548i | −0.809475 | + | 0.804059i | ||||
\(147\) | −1.71489 | + | 1.20448i | −0.141442 | + | 0.0993438i | ||||
\(148\) | −9.66330 | − | 14.6745i | −0.794318 | − | 1.20623i | ||||
\(149\) | 0.598193 | + | 9.12666i | 0.0490059 | + | 0.747685i | 0.949686 | + | 0.313203i | \(0.101402\pi\) |
−0.900680 | + | 0.434482i | \(0.856931\pi\) | |||||||
\(150\) | 3.33851 | − | 3.96328i | 0.272588 | − | 0.323600i | ||||
\(151\) | 2.05078 | + | 1.57362i | 0.166890 | + | 0.128059i | 0.688830 | − | 0.724923i | \(-0.258125\pi\) |
−0.521940 | + | 0.852982i | \(0.674791\pi\) | |||||||
\(152\) | −3.53988 | + | 16.9047i | −0.287122 | + | 1.37115i | ||||
\(153\) | 0.988999 | − | 11.6937i | 0.0799558 | − | 0.945384i | ||||
\(154\) | −21.5683 | + | 1.34097i | −1.73802 | + | 0.108058i | ||||
\(155\) | −12.2950 | + | 4.17358i | −0.987555 | + | 0.335230i | ||||
\(156\) | −6.74448 | − | 6.52486i | −0.539991 | − | 0.522407i | ||||
\(157\) | 4.01748 | + | 8.14663i | 0.320629 | + | 0.650172i | 0.996197 | − | 0.0871256i | \(-0.0277681\pi\) |
−0.675568 | + | 0.737298i | \(0.736101\pi\) | |||||||
\(158\) | 20.3262 | − | 2.60662i | 1.61707 | − | 0.207371i | ||||
\(159\) | −6.02763 | − | 4.40625i | −0.478022 | − | 0.349439i | ||||
\(160\) | 3.24045 | − | 9.04445i | 0.256180 | − | 0.715026i | ||||
\(161\) | 4.89913i | 0.386106i | ||||||||
\(162\) | −12.4195 | + | 2.78499i | −0.975768 | + | 0.218809i | ||||
\(163\) | −6.92046 | + | 10.3572i | −0.542052 | + | 0.811239i | −0.996846 | − | 0.0793580i | \(-0.974713\pi\) |
0.454794 | + | 0.890597i | \(0.349713\pi\) | |||||||
\(164\) | 4.99214 | + | 6.59712i | 0.389821 | + | 0.515148i | ||||
\(165\) | −12.6403 | − | 13.7544i | −0.984042 | − | 1.07078i | ||||
\(166\) | −3.91281 | − | 1.94594i | −0.303693 | − | 0.151034i | ||||
\(167\) | −5.53235 | + | 4.24512i | −0.428106 | + | 0.328498i | −0.800238 | − | 0.599682i | \(-0.795294\pi\) |
0.372132 | + | 0.928180i | \(0.378627\pi\) | |||||||
\(168\) | −11.7518 | + | 0.926102i | −0.906670 | + | 0.0714503i | ||||
\(169\) | 4.49158 | + | 3.44651i | 0.345506 | + | 0.265116i | ||||
\(170\) | 8.44061 | − | 4.12728i | 0.647365 | − | 0.316548i | ||||
\(171\) | 14.3198 | + | 11.4249i | 1.09506 | + | 0.873687i | ||||
\(172\) | −11.2916 | + | 3.74863i | −0.860977 | + | 0.285831i | ||||
\(173\) | 11.9264 | − | 10.4592i | 0.906747 | − | 0.795196i | −0.0726046 | − | 0.997361i | \(-0.523131\pi\) |
0.979351 | + | 0.202165i | \(0.0647978\pi\) | |||||||
\(174\) | 11.7035 | + | 14.6394i | 0.887236 | + | 1.10981i | ||||
\(175\) | −1.31753 | − | 4.91710i | −0.0995961 | − | 0.371698i | ||||
\(176\) | 22.6288 | + | 11.5396i | 1.70571 | + | 0.869827i | ||||
\(177\) | −5.39123 | + | 13.9231i | −0.405230 | + | 1.04652i | ||||
\(178\) | 0.0759424 | − | 22.6244i | 0.00569212 | − | 1.69577i | ||||
\(179\) | −3.88672 | + | 0.773116i | −0.290507 | + | 0.0577854i | −0.338192 | − | 0.941077i | \(-0.609815\pi\) |
0.0476855 | + | 0.998862i | \(0.484815\pi\) | |||||||
\(180\) | −7.01848 | − | 7.38791i | −0.523127 | − | 0.550662i | ||||
\(181\) | −5.53267 | − | 8.28023i | −0.411240 | − | 0.615465i | 0.566806 | − | 0.823851i | \(-0.308179\pi\) |
−0.978047 | + | 0.208386i | \(0.933179\pi\) | |||||||
\(182\) | −9.04737 | + | 1.76808i | −0.670636 | + | 0.131059i | ||||
\(183\) | −5.04938 | − | 17.2308i | −0.373261 | − | 1.27374i | ||||
\(184\) | 2.92940 | − | 4.95790i | 0.215958 | − | 0.365501i | ||||
\(185\) | −9.08303 | − | 11.8372i | −0.667797 | − | 0.870291i | ||||
\(186\) | −4.01819 | − | 18.2902i | −0.294628 | − | 1.34110i | ||||
\(187\) | 7.98500 | + | 23.5231i | 0.583921 | + | 1.72018i | ||||
\(188\) | 7.93063 | − | 4.50804i | 0.578401 | − | 0.328783i | ||||
\(189\) | −4.73465 | + | 11.5722i | −0.344395 | + | 0.841753i | ||||
\(190\) | −1.96317 | + | 14.5346i | −0.142423 | + | 1.05445i | ||||
\(191\) | 10.9907 | + | 19.0364i | 0.795256 | + | 1.37742i | 0.922676 | + | 0.385575i | \(0.125997\pi\) |
−0.127420 | + | 0.991849i | \(0.540670\pi\) | |||||||
\(192\) | 12.4465 | + | 6.08969i | 0.898250 | + | 0.439486i | ||||
\(193\) | −5.24588 | + | 9.08613i | −0.377607 | + | 0.654034i | −0.990713 | − | 0.135966i | \(-0.956586\pi\) |
0.613107 | + | 0.790000i | \(0.289920\pi\) | |||||||
\(194\) | 9.52554 | + | 7.36013i | 0.683894 | + | 0.528427i | ||||
\(195\) | −6.11190 | − | 5.11345i | −0.437682 | − | 0.366181i | ||||
\(196\) | 1.22395 | − | 2.08745i | 0.0874249 | − | 0.149104i | ||||
\(197\) | 7.41582 | + | 1.47510i | 0.528355 | + | 0.105096i | 0.452058 | − | 0.891989i | \(-0.350690\pi\) |
0.0762977 | + | 0.997085i | \(0.475690\pi\) | |||||||
\(198\) | 21.7347 | − | 15.9210i | 1.54462 | − | 1.13146i | ||||
\(199\) | −1.57763 | + | 3.80873i | −0.111835 | + | 0.269994i | −0.969881 | − | 0.243579i | \(-0.921678\pi\) |
0.858046 | + | 0.513573i | \(0.171678\pi\) | |||||||
\(200\) | −1.60681 | + | 5.76389i | −0.113619 | + | 0.407569i | ||||
\(201\) | 15.0279 | − | 15.7439i | 1.05999 | − | 1.11049i | ||||
\(202\) | 2.62889 | + | 3.01805i | 0.184968 | + | 0.212349i | ||||
\(203\) | 18.3724 | − | 1.20419i | 1.28949 | − | 0.0845174i | ||||
\(204\) | 4.56758 | + | 12.7580i | 0.319794 | + | 0.893238i | ||||
\(205\) | 4.63213 | + | 5.28193i | 0.323522 | + | 0.368906i | ||||
\(206\) | −3.84877 | − | 2.23935i | −0.268156 | − | 0.156023i | ||||
\(207\) | −3.29670 | − | 5.14190i | −0.229136 | − | 0.357387i | ||||
\(208\) | 10.2131 | + | 3.62052i | 0.708152 | + | 0.251038i | ||||
\(209\) | −37.4559 | − | 10.0363i | −2.59088 | − | 0.694224i | ||||
\(210\) | −9.89676 | + | 1.50391i | −0.682941 | + | 0.103779i | ||||
\(211\) | −13.7686 | − | 4.67382i | −0.947871 | − | 0.321759i | −0.195653 | − | 0.980673i | \(-0.562683\pi\) |
−0.752218 | + | 0.658914i | \(0.771016\pi\) | |||||||
\(212\) | 8.44434 | + | 1.73869i | 0.579959 | + | 0.119414i | ||||
\(213\) | 0.218291 | − | 5.17128i | 0.0149571 | − | 0.354330i | ||||
\(214\) | 0.316705 | + | 0.213156i | 0.0216495 | + | 0.0145711i | ||||
\(215\) | −9.33418 | + | 3.86634i | −0.636585 | + | 0.263682i | ||||
\(216\) | 11.7110 | − | 8.87995i | 0.796829 | − | 0.604204i | ||||
\(217\) | −16.9956 | − | 7.03979i | −1.15373 | − | 0.477892i | ||||
\(218\) | −0.454180 | + | 0.301273i | −0.0307610 | + | 0.0204048i | ||||
\(219\) | −11.4250 | − | 12.4320i | −0.772029 | − | 0.840079i | ||||
\(220\) | 19.8725 | + | 8.38822i | 1.33981 | + | 0.565533i | ||||
\(221\) | 4.68694 | + | 9.50417i | 0.315278 | + | 0.639320i | ||||
\(222\) | 18.4184 | − | 11.1284i | 1.23616 | − | 0.746893i | ||||
\(223\) | 16.8821 | − | 9.74690i | 1.13051 | − | 0.652701i | 0.186448 | − | 0.982465i | \(-0.440303\pi\) |
0.944063 | + | 0.329764i | \(0.106969\pi\) | |||||||
\(224\) | 11.9008 | − | 6.60714i | 0.795155 | − | 0.441458i | ||||
\(225\) | 4.69161 | + | 4.27418i | 0.312774 | + | 0.284945i | ||||
\(226\) | 2.87747 | + | 3.77617i | 0.191406 | + | 0.251187i | ||||
\(227\) | 2.31327 | + | 0.151620i | 0.153537 | + | 0.0100633i | 0.141978 | − | 0.989870i | \(-0.454654\pi\) |
0.0115592 | + | 0.999933i | \(0.496321\pi\) | |||||||
\(228\) | −20.5200 | − | 5.13592i | −1.35897 | − | 0.340135i | ||||
\(229\) | 2.39673 | + | 2.10187i | 0.158380 | + | 0.138896i | 0.734868 | − | 0.678210i | \(-0.237244\pi\) |
−0.576488 | + | 0.817106i | \(0.695577\pi\) | |||||||
\(230\) | 2.17757 | − | 4.37857i | 0.143585 | − | 0.288714i | ||||
\(231\) | −0.615631 | − | 26.4595i | −0.0405056 | − | 1.74091i | ||||
\(232\) | −19.3128 | − | 9.76699i | −1.26795 | − | 0.641235i | ||||
\(233\) | −5.02111 | + | 2.07981i | −0.328944 | + | 0.136253i | −0.541042 | − | 0.840995i | \(-0.681970\pi\) |
0.212099 | + | 0.977248i | \(0.431970\pi\) | |||||||
\(234\) | 8.30594 | − | 7.94382i | 0.542976 | − | 0.519304i | ||||
\(235\) | 6.44103 | − | 4.30376i | 0.420166 | − | 0.280746i | ||||
\(236\) | −1.01205 | − | 17.2104i | −0.0658786 | − | 1.12030i | ||||
\(237\) | 2.22361 | + | 24.9996i | 0.144439 | + | 1.62390i | ||||
\(238\) | 12.8466 | + | 3.48850i | 0.832722 | + | 0.226126i | ||||
\(239\) | −0.703171 | − | 2.62427i | −0.0454843 | − | 0.169750i | 0.939447 | − | 0.342693i | \(-0.111339\pi\) |
−0.984932 | + | 0.172943i | \(0.944672\pi\) | |||||||
\(240\) | 10.9147 | + | 4.39575i | 0.704542 | + | 0.283745i | ||||
\(241\) | 5.14975 | − | 19.2191i | 0.331725 | − | 1.23801i | −0.575652 | − | 0.817695i | \(-0.695252\pi\) |
0.907376 | − | 0.420319i | \(-0.138082\pi\) | |||||||
\(242\) | −20.8574 | + | 35.8477i | −1.34077 | + | 2.30438i | ||||
\(243\) | −2.81784 | − | 15.3317i | −0.180764 | − | 0.983526i | ||||
\(244\) | 13.5654 | + | 15.6794i | 0.868434 | + | 1.00377i | ||||
\(245\) | 0.908845 | − | 1.84296i | 0.0580640 | − | 0.117742i | ||||
\(246\) | −8.31105 | + | 5.79583i | −0.529893 | + | 0.369528i | ||||
\(247\) | −16.4003 | − | 2.15915i | −1.04353 | − | 0.137383i | ||||
\(248\) | 12.9900 | + | 17.2866i | 0.824868 | + | 1.09770i | ||||
\(249\) | 2.56752 | − | 4.69606i | 0.162710 | − | 0.297601i | ||||
\(250\) | −3.39044 | + | 16.7508i | −0.214430 | + | 1.05942i | ||||
\(251\) | 26.9622 | + | 5.36311i | 1.70184 | + | 0.338516i | 0.947933 | − | 0.318469i | \(-0.103169\pi\) |
0.753903 | + | 0.656986i | \(0.228169\pi\) | |||||||
\(252\) | −0.574640 | − | 14.4261i | −0.0361989 | − | 0.908761i | ||||
\(253\) | 10.7502 | + | 7.18308i | 0.675862 | + | 0.451596i | ||||
\(254\) | −7.35541 | − | 17.9275i | −0.461520 | − | 1.12487i | ||||
\(255\) | 4.64975 | + | 10.5260i | 0.291178 | + | 0.659166i | ||||
\(256\) | −15.9942 | − | 0.429598i | −0.999639 | − | 0.0268499i | ||||
\(257\) | 1.00431 | − | 1.73952i | 0.0626473 | − | 0.108508i | −0.833001 | − | 0.553272i | \(-0.813379\pi\) |
0.895648 | + | 0.444764i | \(0.146712\pi\) | |||||||
\(258\) | −4.05080 | − | 13.9971i | −0.252192 | − | 0.871424i | ||||
\(259\) | 1.38259 | − | 21.0942i | 0.0859099 | − | 1.31073i | ||||
\(260\) | 8.87191 | + | 2.44117i | 0.550213 | + | 0.151395i | ||||
\(261\) | −18.4725 | + | 13.6269i | −1.14342 | + | 0.843484i | ||||
\(262\) | 5.79427 | + | 5.11595i | 0.357971 | + | 0.316064i | ||||
\(263\) | 13.8060 | − | 1.81759i | 0.851315 | − | 0.112078i | 0.307773 | − | 0.951460i | \(-0.400416\pi\) |
0.543542 | + | 0.839382i | \(0.317083\pi\) | |||||||
\(264\) | −15.1983 | + | 27.1450i | −0.935388 | + | 1.67066i | ||||
\(265\) | 7.25859 | + | 0.955611i | 0.445891 | + | 0.0587027i | ||||
\(266\) | −15.6689 | + | 13.6485i | −0.960721 | + | 0.836842i | ||||
\(267\) | 27.6847 | + | 1.16863i | 1.69427 | + | 0.0715190i | ||||
\(268\) | −8.23795 | + | 23.7433i | −0.503213 | + | 1.45036i | ||||
\(269\) | 24.3311 | − | 4.83976i | 1.48349 | − | 0.295085i | 0.614109 | − | 0.789221i | \(-0.289516\pi\) |
0.869384 | + | 0.494136i | \(0.164516\pi\) | |||||||
\(270\) | 9.37518 | − | 8.23811i | 0.570555 | − | 0.501355i | ||||
\(271\) | −0.822971 | − | 0.822971i | −0.0499919 | − | 0.0499919i | 0.681669 | − | 0.731661i | \(-0.261254\pi\) |
−0.731661 | + | 0.681669i | \(0.761254\pi\) | |||||||
\(272\) | −10.9148 | − | 11.2119i | −0.661806 | − | 0.679820i | ||||
\(273\) | −1.73366 | − | 11.1564i | −0.104926 | − | 0.675218i | ||||
\(274\) | −18.0011 | − | 4.88820i | −1.08749 | − | 0.295307i | ||||
\(275\) | −12.7214 | − | 4.31834i | −0.767131 | − | 0.260406i | ||||
\(276\) | 5.92830 | + | 3.82079i | 0.356842 | + | 0.229985i | ||||
\(277\) | 24.7469 | + | 12.2038i | 1.48690 | + | 0.733256i | 0.990841 | − | 0.135035i | \(-0.0431145\pi\) |
0.496056 | + | 0.868291i | \(0.334781\pi\) | |||||||
\(278\) | 1.14440 | + | 2.34039i | 0.0686367 | + | 0.140367i | ||||
\(279\) | 22.5750 | − | 4.04793i | 1.35153 | − | 0.242343i | ||||
\(280\) | 9.67512 | − | 6.32472i | 0.578199 | − | 0.377974i | ||||
\(281\) | −1.41801 | − | 10.7709i | −0.0845916 | − | 0.642537i | −0.980245 | − | 0.197785i | \(-0.936625\pi\) |
0.895654 | − | 0.444752i | \(-0.146708\pi\) | |||||||
\(282\) | 5.13997 | + | 9.92002i | 0.306081 | + | 0.590728i | ||||
\(283\) | 16.3129 | + | 14.3060i | 0.969699 | + | 0.850403i | 0.988775 | − | 0.149415i | \(-0.0477391\pi\) |
−0.0190758 | + | 0.999818i | \(0.506072\pi\) | |||||||
\(284\) | 2.25003 | + | 5.53689i | 0.133514 | + | 0.328554i | ||||
\(285\) | −17.6944 | − | 3.09362i | −1.04812 | − | 0.183250i | ||||
\(286\) | −9.38548 | + | 22.4452i | −0.554975 | + | 1.32721i | ||||
\(287\) | 9.95356i | 0.587540i | ||||||||
\(288\) | −8.04447 | + | 14.9428i | −0.474025 | + | 0.880511i | ||||
\(289\) | 1.69757i | 0.0998570i | ||||||||
\(290\) | −16.9554 | − | 7.08993i | −0.995656 | − | 0.416335i | ||||
\(291\) | −9.46038 | + | 11.3076i | −0.554578 | + | 0.662864i | ||||
\(292\) | 17.9619 | + | 7.58175i | 1.05114 | + | 0.443688i | ||||
\(293\) | −1.75118 | − | 1.53574i | −0.102305 | − | 0.0897191i | 0.606665 | − | 0.794957i | \(-0.292507\pi\) |
−0.708971 | + | 0.705238i | \(0.750840\pi\) | |||||||
\(294\) | 2.49648 | + | 1.59714i | 0.145597 | + | 0.0931473i | ||||
\(295\) | −1.91091 | − | 14.5148i | −0.111258 | − | 0.845087i | ||||
\(296\) | −14.0123 | + | 20.5205i | −0.814450 | + | 1.19273i | ||||
\(297\) | 18.4511 | + | 27.3564i | 1.07064 | + | 1.58738i | ||||
\(298\) | 11.6200 | − | 5.68192i | 0.673126 | − | 0.329145i | ||||
\(299\) | 4.94664 | + | 2.43941i | 0.286072 | + | 0.141075i | ||||
\(300\) | −6.97758 | − | 2.24050i | −0.402851 | − | 0.129355i | ||||
\(301\) | −13.5547 | − | 4.60120i | −0.781279 | − | 0.265209i | ||||
\(302\) | 0.958004 | − | 3.52791i | 0.0551269 | − | 0.203008i | ||||
\(303\) | −3.81855 | + | 3.07380i | −0.219370 | + | 0.176585i | ||||
\(304\) | 24.0179 | − | 4.44308i | 1.37752 | − | 0.254828i | ||||
\(305\) | 12.4495 | + | 12.4495i | 0.712857 | + | 0.712857i | ||||
\(306\) | −15.8307 | + | 4.98331i | −0.904980 | + | 0.284877i | ||||
\(307\) | −21.0216 | + | 4.18146i | −1.19977 | + | 0.238649i | −0.754228 | − | 0.656613i | \(-0.771988\pi\) |
−0.445541 | + | 0.895262i | \(0.646988\pi\) | |||||||
\(308\) | 13.3325 | + | 27.4995i | 0.759690 | + | 1.56693i | ||||
\(309\) | 2.92355 | − | 4.60373i | 0.166315 | − | 0.261897i | ||||
\(310\) | 12.0606 | + | 13.8460i | 0.684997 | + | 0.786399i | ||||
\(311\) | 0.122251 | + | 0.0160946i | 0.00693221 | + | 0.000912643i | 0.133992 | − | 0.990982i | \(-0.457221\pi\) |
−0.127059 | + | 0.991895i | \(0.540554\pi\) | |||||||
\(312\) | −4.91646 | + | 12.3269i | −0.278340 | + | 0.697873i | ||||
\(313\) | 26.5741 | − | 3.49854i | 1.50205 | − | 0.197749i | 0.665816 | − | 0.746116i | \(-0.268083\pi\) |
0.836238 | + | 0.548366i | \(0.184750\pi\) | |||||||
\(314\) | 8.50222 | − | 9.62953i | 0.479808 | − | 0.543426i | ||||
\(315\) | −1.36997 | − | 12.1834i | −0.0771889 | − | 0.686455i | ||||
\(316\) | −14.3217 | − | 25.1950i | −0.805658 | − | 1.41733i | ||||
\(317\) | 0.283499 | − | 4.32535i | 0.0159229 | − | 0.242936i | −0.982477 | − | 0.186385i | \(-0.940323\pi\) |
0.998400 | − | 0.0565513i | \(-0.0180105\pi\) | |||||||
\(318\) | −2.52934 | + | 10.2517i | −0.141838 | + | 0.574886i | ||||
\(319\) | 24.2951 | − | 42.0803i | 1.36026 | − | 2.35605i | ||||
\(320\) | −13.5730 | + | 0.615414i | −0.758754 | + | 0.0344027i | ||||
\(321\) | −0.275923 | + | 0.377455i | −0.0154005 | + | 0.0210675i | ||||
\(322\) | 6.40989 | − | 2.62989i | 0.357209 | − | 0.146558i | ||||
\(323\) | 19.8613 | + | 13.2709i | 1.10511 | + | 0.738412i | ||||
\(324\) | 10.3107 | + | 14.7543i | 0.572815 | + | 0.819684i | ||||
\(325\) | −5.62082 | − | 1.11805i | −0.311787 | − | 0.0620183i | ||||
\(326\) | 17.2660 | + | 3.49472i | 0.956277 | + | 0.193554i | ||||
\(327\) | −0.347111 | − | 0.570160i | −0.0191953 | − | 0.0315299i | ||||
\(328\) | 5.95167 | − | 10.0730i | 0.328626 | − | 0.556186i | ||||
\(329\) | 10.8815 | + | 1.43258i | 0.599916 | + | 0.0789804i | ||||
\(330\) | −11.2105 | + | 23.9216i | −0.617119 | + | 1.31684i | ||||
\(331\) | 13.2421 | − | 26.8523i | 0.727851 | − | 1.47594i | −0.145764 | − | 0.989319i | \(-0.546564\pi\) |
0.873616 | − | 0.486617i | \(-0.161769\pi\) | |||||||
\(332\) | −0.445588 | + | 6.16401i | −0.0244548 | + | 0.338294i | ||||
\(333\) | 12.7435 | + | 23.0699i | 0.698341 | + | 1.26422i | ||||
\(334\) | 8.52401 | + | 4.95956i | 0.466413 | + | 0.271375i | ||||
\(335\) | −5.52360 | + | 20.6144i | −0.301787 | + | 1.12628i | ||||
\(336\) | 7.52013 | + | 14.8786i | 0.410257 | + | 0.811693i | ||||
\(337\) | −0.349081 | − | 1.30279i | −0.0190156 | − | 0.0709674i | 0.955766 | − | 0.294128i | \(-0.0950292\pi\) |
−0.974782 | + | 0.223161i | \(0.928363\pi\) | |||||||
\(338\) | 2.09820 | − | 7.72677i | 0.114127 | − | 0.420281i | ||||
\(339\) | −4.75816 | + | 3.34197i | −0.258428 | + | 0.181511i | ||||
\(340\) | −9.93100 | − | 8.82790i | −0.538584 | − | 0.478760i | ||||
\(341\) | −40.3664 | + | 26.9719i | −2.18596 | + | 1.46061i | ||||
\(342\) | 7.26108 | − | 24.8687i | 0.392634 | − | 1.34474i | ||||
\(343\) | 18.2514 | − | 7.55998i | 0.985483 | − | 0.408201i | ||||
\(344\) | 10.9660 | + | 12.7613i | 0.591248 | + | 0.688044i | ||||
\(345\) | 5.25505 | + | 2.87314i | 0.282922 | + | 0.154685i | ||||
\(346\) | −20.0867 | − | 9.98960i | −1.07987 | − | 0.537044i | ||||
\(347\) | 7.12535 | + | 6.24877i | 0.382509 | + | 0.335451i | 0.828910 | − | 0.559381i | \(-0.188961\pi\) |
−0.446401 | + | 0.894833i | \(0.647295\pi\) | |||||||
\(348\) | 12.8713 | − | 23.1710i | 0.689974 | − | 1.24210i | ||||
\(349\) | 7.11265 | + | 0.466188i | 0.380731 | + | 0.0249545i | 0.254568 | − | 0.967055i | \(-0.418067\pi\) |
0.126164 | + | 0.992009i | \(0.459734\pi\) | |||||||
\(350\) | −5.72614 | + | 4.36336i | −0.306075 | + | 0.233231i | ||||
\(351\) | 9.32690 | + | 10.5427i | 0.497833 | + | 0.562727i | ||||
\(352\) | 2.95072 | − | 35.8014i | 0.157274 | − | 1.90822i | ||||
\(353\) | 7.20682 | − | 4.16086i | 0.383580 | − | 0.221460i | −0.295795 | − | 0.955252i | \(-0.595584\pi\) |
0.679375 | + | 0.733791i | \(0.262251\pi\) | |||||||
\(354\) | 21.1106 | − | 0.420286i | 1.12202 | − | 0.0223380i | ||||
\(355\) | 2.24472 | + | 4.55184i | 0.119137 | + | 0.241587i | ||||
\(356\) | −29.6420 | + | 12.0456i | −1.57102 | + | 0.638416i | ||||
\(357\) | −4.88010 | + | 15.5561i | −0.258282 | + | 0.823316i | ||||
\(358\) | 3.09794 | + | 4.67026i | 0.163731 | + | 0.246831i | ||||
\(359\) | −32.5496 | − | 13.4825i | −1.71790 | − | 0.711578i | −0.999879 | − | 0.0155574i | \(-0.995048\pi\) |
−0.718022 | − | 0.696020i | \(-0.754952\pi\) | |||||||
\(360\) | −5.89856 | + | 13.1487i | −0.310882 | + | 0.692996i | ||||
\(361\) | −16.8954 | + | 6.99828i | −0.889229 | + | 0.368331i | ||||
\(362\) | −7.86365 | + | 11.6837i | −0.413304 | + | 0.614081i | ||||
\(363\) | −42.8796 | − | 27.2302i | −2.25059 | − | 1.42921i | ||||
\(364\) | 7.17001 | + | 10.8882i | 0.375811 | + | 0.570697i | ||||
\(365\) | 15.6775 | + | 5.32179i | 0.820598 | + | 0.278555i | ||||
\(366\) | −19.8338 | + | 15.8561i | −1.03673 | + | 0.828812i | ||||
\(367\) | 7.66245 | + | 2.05315i | 0.399977 | + | 0.107173i | 0.453199 | − | 0.891409i | \(-0.350283\pi\) |
−0.0532225 | + | 0.998583i | \(0.516949\pi\) | |||||||
\(368\) | −8.05930 | − | 1.17131i | −0.420120 | − | 0.0610589i | ||||
\(369\) | −6.69791 | − | 10.4468i | −0.348679 | − | 0.543839i | ||||
\(370\) | −10.6117 | + | 18.2383i | −0.551674 | + | 0.948164i | ||||
\(371\) | 6.83924 | + | 7.79866i | 0.355076 | + | 0.404886i | ||||
\(372\) | −21.7734 | + | 15.0756i | −1.12890 | + | 0.781633i | ||||
\(373\) | 8.16274 | − | 0.535014i | 0.422651 | − | 0.0277020i | 0.147406 | − | 0.989076i | \(-0.452908\pi\) |
0.275245 | + | 0.961374i | \(0.411241\pi\) | |||||||
\(374\) | 26.4905 | − | 23.0747i | 1.36979 | − | 1.19316i | ||||
\(375\) | −20.3388 | − | 4.94572i | −1.05029 | − | 0.255396i | ||||
\(376\) | −10.1554 | − | 7.95627i | −0.523726 | − | 0.410313i | ||||
\(377\) | 7.93224 | − | 19.1501i | 0.408531 | − | 0.986282i | ||||
\(378\) | 17.6823 | − | 0.0173595i | 0.909481 | − | 0.000892874i | ||||
\(379\) | −2.15625 | − | 0.428906i | −0.110759 | − | 0.0220314i | 0.139399 | − | 0.990236i | \(-0.455483\pi\) |
−0.250159 | + | 0.968205i | \(0.580483\pi\) | |||||||
\(380\) | 20.0705 | − | 5.23371i | 1.02959 | − | 0.268484i | ||||
\(381\) | 22.2898 | − | 8.14934i | 1.14194 | − | 0.417503i | ||||
\(382\) | 19.0068 | − | 24.5987i | 0.972473 | − | 1.25858i | ||||
\(383\) | −12.7330 | + | 22.0541i | −0.650624 | + | 1.12691i | 0.332348 | + | 0.943157i | \(0.392159\pi\) |
−0.982972 | + | 0.183757i | \(0.941174\pi\) | |||||||
\(384\) | 1.28620 | − | 19.5537i | 0.0656364 | − | 0.997844i | ||||
\(385\) | 12.9760 | + | 22.4751i | 0.661317 | + | 1.14543i | ||||
\(386\) | 14.7041 | + | 1.98606i | 0.748417 | + | 0.101088i | ||||
\(387\) | 17.3226 | − | 4.29195i | 0.880557 | − | 0.218172i | ||||
\(388\) | 4.51641 | − | 16.4139i | 0.229286 | − | 0.833290i | ||||
\(389\) | −10.7944 | − | 31.7992i | −0.547297 | − | 1.61229i | −0.770449 | − | 0.637501i | \(-0.779968\pi\) |
0.223152 | − | 0.974784i | \(-0.428365\pi\) | |||||||
\(390\) | −3.40938 | + | 10.7416i | −0.172641 | + | 0.543921i | ||||
\(391\) | −4.84846 | − | 6.31863i | −0.245197 | − | 0.319547i | ||||
\(392\) | −3.38819 | − | 0.480821i | −0.171129 | − | 0.0242851i | ||||
\(393\) | −6.53650 | + | 6.84792i | −0.329723 | + | 0.345432i | ||||
\(394\) | −2.05089 | − | 10.4945i | −0.103322 | − | 0.528705i | ||||
\(395\) | −13.6727 | − | 20.4626i | −0.687948 | − | 1.02959i | ||||
\(396\) | −32.4980 | − | 19.8906i | −1.63309 | − | 0.999539i | ||||
\(397\) | 12.2054 | − | 2.42780i | 0.612570 | − | 0.121848i | 0.120952 | − | 0.992658i | \(-0.461405\pi\) |
0.491619 | + | 0.870811i | \(0.336405\pi\) | |||||||
\(398\) | 5.83012 | + | 0.0195697i | 0.292238 | + | 0.000980939i | ||||
\(399\) | −15.9583 | − | 19.8248i | −0.798915 | − | 0.992484i | ||||
\(400\) | 8.40386 | − | 0.991795i | 0.420193 | − | 0.0495897i | ||||
\(401\) | −0.976293 | − | 3.64357i | −0.0487537 | − | 0.181951i | 0.937255 | − | 0.348644i | \(-0.113358\pi\) |
−0.986009 | + | 0.166693i | \(0.946691\pi\) | |||||||
\(402\) | −28.6659 | − | 11.2107i | −1.42973 | − | 0.559137i | ||||
\(403\) | −15.5706 | + | 13.6551i | −0.775628 | + | 0.680208i | ||||
\(404\) | 2.53752 | − | 5.05968i | 0.126247 | − | 0.251728i | ||||
\(405\) | 9.63623 | + | 11.8652i | 0.478828 | + | 0.589588i | ||||
\(406\) | −11.4379 | − | 23.3915i | −0.567656 | − | 1.16090i | ||||
\(407\) | −44.2603 | − | 33.9621i | −2.19390 | − | 1.68344i | ||||
\(408\) | 14.2403 | − | 12.8247i | 0.705000 | − | 0.634916i | ||||
\(409\) | 5.40820 | − | 4.14986i | 0.267418 | − | 0.205197i | −0.466344 | − | 0.884603i | \(-0.654429\pi\) |
0.733763 | + | 0.679406i | \(0.237762\pi\) | |||||||
\(410\) | 4.42417 | − | 8.89593i | 0.218494 | − | 0.439339i | ||||
\(411\) | 6.83816 | − | 21.7977i | 0.337301 | − | 1.07520i | ||||
\(412\) | −0.863851 | + | 6.23772i | −0.0425589 | + | 0.307310i | ||||
\(413\) | 11.5237 | − | 17.2465i | 0.567046 | − | 0.848645i | ||||
\(414\) | −4.95783 | + | 7.07352i | −0.243664 | + | 0.347645i | ||||
\(415\) | 5.24803i | 0.257616i | ||||||||
\(416\) | −0.745484 | − | 15.3061i | −0.0365504 | − | 0.750442i | ||||
\(417\) | −2.91863 | + | 1.28927i | −0.142926 | + | 0.0631358i | ||||
\(418\) | 6.97542 | + | 54.3938i | 0.341179 | + | 2.66049i | ||||
\(419\) | 3.18388 | + | 6.45626i | 0.155543 | + | 0.315409i | 0.960670 | − | 0.277693i | \(-0.0895697\pi\) |
−0.805127 | + | 0.593102i | \(0.797903\pi\) | |||||||
\(420\) | 7.28032 | + | 12.1413i | 0.355243 | + | 0.592436i | ||||
\(421\) | −3.60686 | + | 1.22436i | −0.175788 | + | 0.0596719i | −0.407946 | − | 0.913006i | \(-0.633755\pi\) |
0.232158 | + | 0.972678i | \(0.425421\pi\) | |||||||
\(422\) | 1.27601 | + | 20.5234i | 0.0621150 | + | 0.999064i | ||||
\(423\) | −12.3847 | + | 5.81875i | −0.602165 | + | 0.282918i | ||||
\(424\) | −2.25812 | − | 11.9817i | −0.109664 | − | 0.581882i | ||||
\(425\) | 6.56552 | + | 5.03790i | 0.318475 | + | 0.244374i | ||||
\(426\) | −6.88314 | + | 2.49038i | −0.333489 | + | 0.120659i | ||||
\(427\) | 1.63146 | + | 24.8913i | 0.0789520 | + | 1.20457i | ||||
\(428\) | 0.108879 | − | 0.528792i | 0.00526284 | − | 0.0255601i | ||||
\(429\) | −27.0226 | − | 12.5533i | −1.30466 | − | 0.606080i | ||||
\(430\) | 10.0693 | + | 10.1371i | 0.485583 | + | 0.488854i | ||||
\(431\) | 20.9182 | − | 20.9182i | 1.00759 | − | 1.00759i | 0.00762149 | − | 0.999971i | \(-0.497574\pi\) |
0.999971 | − | 0.00762149i | \(-0.00242602\pi\) | |||||||
\(432\) | −17.9048 | − | 10.5555i | −0.861446 | − | 0.507850i | ||||
\(433\) | −15.2605 | − | 15.2605i | −0.733371 | − | 0.733371i | 0.237915 | − | 0.971286i | \(-0.423536\pi\) |
−0.971286 | + | 0.237915i | \(0.923536\pi\) | |||||||
\(434\) | −0.0873251 | + | 26.0155i | −0.00419174 | + | 1.24879i | ||||
\(435\) | 9.48297 | − | 20.4133i | 0.454673 | − | 0.978743i | ||||
\(436\) | 0.637985 | + | 0.432511i | 0.0305539 | + | 0.0207135i | ||||
\(437\) | 12.4058 | − | 0.813122i | 0.593452 | − | 0.0388969i | ||||
\(438\) | −10.1327 | + | 21.6217i | −0.484160 | + | 1.03313i | ||||
\(439\) | −2.78802 | + | 3.63342i | −0.133065 | + | 0.173414i | −0.855133 | − | 0.518408i | \(-0.826525\pi\) |
0.722068 | + | 0.691822i | \(0.243192\pi\) | |||||||
\(440\) | 0.307178 | − | 30.5035i | 0.0146442 | − | 1.45420i | ||||
\(441\) | −2.07331 | + | 2.97930i | −0.0987293 | + | 0.141872i | ||||
\(442\) | 9.91901 | − | 11.2342i | 0.471799 | − | 0.534355i | ||||
\(443\) | 6.26401 | + | 18.4532i | 0.297612 | + | 0.876738i | 0.988157 | + | 0.153448i | \(0.0490376\pi\) |
−0.690544 | + | 0.723290i | \(0.742629\pi\) | |||||||
\(444\) | −24.4473 | − | 18.1242i | −1.16022 | − | 0.860139i | ||||
\(445\) | −24.3685 | + | 12.0172i | −1.15518 | + | 0.569670i | ||||
\(446\) | −21.8150 | − | 16.8559i | −1.03297 | − | 0.798150i | ||||
\(447\) | 6.40118 | + | 14.4909i | 0.302765 | + | 0.685396i | ||||
\(448\) | −15.0330 | − | 12.0239i | −0.710244 | − | 0.568076i | ||||
\(449\) | −13.3244 | −0.628818 | −0.314409 | − | 0.949288i | \(-0.601806\pi\) | ||||
−0.314409 | + | 0.949288i | \(0.601806\pi\) | |||||||
\(450\) | 3.07372 | − | 8.43279i | 0.144896 | − | 0.397525i | ||||
\(451\) | 21.8413 | + | 14.5939i | 1.02846 | + | 0.687198i | ||||
\(452\) | 3.39598 | − | 5.79187i | 0.159734 | − | 0.272427i | ||||
\(453\) | 4.27198 | + | 1.34016i | 0.200715 | + | 0.0629663i | ||||
\(454\) | −1.04340 | − | 3.10801i | −0.0489694 | − | 0.145866i | ||||
\(455\) | 6.73946 | + | 8.78303i | 0.315951 | + | 0.411755i | ||||
\(456\) | 4.29560 | + | 29.6048i | 0.201160 | + | 1.38637i | ||||
\(457\) | −11.3438 | + | 14.7835i | −0.530640 | + | 0.691544i | −0.979359 | − | 0.202129i | \(-0.935214\pi\) |
0.448719 | + | 0.893673i | \(0.351881\pi\) | |||||||
\(458\) | 1.46345 | − | 4.26411i | 0.0683826 | − | 0.199249i | ||||
\(459\) | −5.34601 | − | 19.6109i | −0.249530 | − | 0.915357i | ||||
\(460\) | −6.89773 | − | 0.498628i | −0.321608 | − | 0.0232486i | ||||
\(461\) | 14.2607 | + | 16.2612i | 0.664185 | + | 0.757358i | 0.981604 | − | 0.190928i | \(-0.0611496\pi\) |
−0.317419 | + | 0.948285i | \(0.602816\pi\) | |||||||
\(462\) | −34.2884 | + | 15.0091i | −1.59524 | + | 0.698288i | ||||
\(463\) | 15.8353 | − | 4.24307i | 0.735931 | − | 0.197192i | 0.128662 | − | 0.991688i | \(-0.458932\pi\) |
0.607269 | + | 0.794496i | \(0.292265\pi\) | |||||||
\(464\) | −2.41162 | + | 30.5113i | −0.111957 | + | 1.41645i | ||||
\(465\) | −17.5184 | + | 14.1017i | −0.812398 | + | 0.653952i | ||||
\(466\) | 5.41653 | + | 5.45302i | 0.250916 | + | 0.252606i | ||||
\(467\) | 1.70650 | + | 8.57918i | 0.0789676 | + | 0.396997i | 0.999972 | + | 0.00744551i | \(0.00237000\pi\) |
−0.921005 | + | 0.389552i | \(0.872630\pi\) | |||||||
\(468\) | −14.8522 | − | 6.60296i | −0.686541 | − | 0.305222i | ||||
\(469\) | −25.1411 | + | 16.7987i | −1.16091 | + | 0.775693i | ||||
\(470\) | −9.08851 | − | 6.11697i | −0.419222 | − | 0.282155i | ||||
\(471\) | 11.3806 | + | 10.8630i | 0.524390 | + | 0.500542i | ||||
\(472\) | −21.9744 | + | 10.5628i | −1.01145 | + | 0.486194i | ||||
\(473\) | −29.9703 | + | 22.9970i | −1.37804 | + | 1.05740i | ||||
\(474\) | 31.5151 | − | 16.3293i | 1.44754 | − | 0.750029i | ||||
\(475\) | −12.2327 | + | 4.15243i | −0.561274 | + | 0.190527i | ||||
\(476\) | −2.33190 | − | 18.6808i | −0.106883 | − | 0.856233i | ||||
\(477\) | −12.4260 | − | 3.58289i | −0.568947 | − | 0.164049i | ||||
\(478\) | −3.05605 | + | 2.32874i | −0.139781 | + | 0.106514i | ||||
\(479\) | −25.5181 | + | 14.7329i | −1.16595 | + | 0.673162i | −0.952723 | − | 0.303841i | \(-0.901731\pi\) |
−0.213228 | + | 0.977003i | \(0.568398\pi\) | |||||||
\(480\) | −0.107822 | − | 16.6402i | −0.00492140 | − | 0.759517i | ||||
\(481\) | −20.6104 | − | 11.8994i | −0.939752 | − | 0.542566i | ||||
\(482\) | −27.9102 | + | 3.57918i | −1.27128 | + | 0.163027i | ||||
\(483\) | 2.91375 | + | 7.96960i | 0.132580 | + | 0.362629i | ||||
\(484\) | 58.0986 | + | 8.04598i | 2.64085 | + | 0.365726i | ||||
\(485\) | 2.82032 | − | 14.1787i | 0.128064 | − | 0.643821i | ||||
\(486\) | −18.5469 | + | 11.9169i | −0.841304 | + | 0.540563i | ||||
\(487\) | 15.4452 | + | 6.39763i | 0.699891 | + | 0.289904i | 0.704114 | − | 0.710087i | \(-0.251344\pi\) |
−0.00422324 | + | 0.999991i | \(0.501344\pi\) | |||||||
\(488\) | 13.2325 | − | 26.1654i | 0.599009 | − | 1.18445i | ||||
\(489\) | −5.09783 | + | 20.9644i | −0.230532 | + | 0.948042i | ||||
\(490\) | −2.89915 | − | 0.199795i | −0.130970 | − | 0.00902584i | ||||
\(491\) | −1.31499 | − | 20.0629i | −0.0593447 | − | 0.905425i | −0.918927 | − | 0.394428i | \(-0.870943\pi\) |
0.859582 | − | 0.510998i | \(-0.170724\pi\) | |||||||
\(492\) | 12.0445 | + | 7.76270i | 0.543009 | + | 0.349970i | ||||
\(493\) | −22.5039 | + | 19.7354i | −1.01353 | + | 0.888839i | ||||
\(494\) | 5.97886 | + | 22.6168i | 0.269002 | + | 1.01758i | ||||
\(495\) | −28.7428 | − | 14.8571i | −1.29189 | − | 0.667775i | ||||
\(496\) | 15.6442 | − | 26.2754i | 0.702445 | − | 1.17980i | ||||
\(497\) | −1.86107 | + | 6.94562i | −0.0834805 | + | 0.311553i | ||||
\(498\) | −7.52246 | − | 0.838390i | −0.337089 | − | 0.0375692i | ||||
\(499\) | 4.85023 | − | 14.2883i | 0.217126 | − | 0.639633i | −0.782725 | − | 0.622368i | \(-0.786171\pi\) |
0.999851 | − | 0.0172650i | \(-0.00549590\pi\) | |||||||
\(500\) | 23.7363 | − | 4.55602i | 1.06152 | − | 0.203751i | ||||
\(501\) | −6.47490 | + | 10.1961i | −0.289277 | + | 0.455527i | ||||
\(502\) | −7.45655 | − | 38.1555i | −0.332802 | − | 1.70296i | ||||
\(503\) | −6.17830 | − | 14.9157i | −0.275477 | − | 0.665060i | 0.724223 | − | 0.689566i | \(-0.242199\pi\) |
−0.999700 | + | 0.0245061i | \(0.992199\pi\) | |||||||
\(504\) | −18.5663 | + | 8.49589i | −0.827007 | + | 0.378437i | ||||
\(505\) | 1.83943 | − | 4.44078i | 0.0818536 | − | 0.197612i | ||||
\(506\) | 3.62733 | − | 17.9212i | 0.161255 | − | 0.796696i | ||||
\(507\) | 9.35643 | + | 2.93520i | 0.415533 | + | 0.130357i | ||||
\(508\) | −19.5074 | + | 19.2472i | −0.865501 | + | 0.853958i | ||||
\(509\) | 0.680304 | − | 0.335489i | 0.0301539 | − | 0.0148703i | −0.427149 | − | 0.904181i | \(-0.640482\pi\) |
0.457303 | + | 0.889311i | \(0.348815\pi\) | |||||||
\(510\) | 11.2759 | − | 11.7340i | 0.499307 | − | 0.519592i | ||||
\(511\) | 11.7284 | + | 20.3142i | 0.518835 | + | 0.898649i | ||||
\(512\) | 8.02375 | + | 21.1570i | 0.354603 | + | 0.935017i | ||||
\(513\) | 30.0896 | + | 10.0687i | 1.32849 | + | 0.444542i | ||||
\(514\) | −2.81506 | − | 0.380227i | −0.124167 | − | 0.0167711i | ||||
\(515\) | −0.349745 | + | 5.33607i | −0.0154116 | + | 0.235136i | ||||
\(516\) | −16.1390 | + | 12.8137i | −0.710478 | + | 0.564092i | ||||
\(517\) | 19.0979 | − | 21.7770i | 0.839925 | − | 0.957751i | ||||
\(518\) | −28.3413 | + | 9.51460i | −1.24524 | + | 0.418047i | ||||
\(519\) | 13.1805 | − | 24.1075i | 0.578561 | − | 1.05820i | ||||
\(520\) | −1.56854 | − | 12.9182i | −0.0687852 | − | 0.566501i | ||||
\(521\) | 10.9079 | + | 26.3340i | 0.477883 | + | 1.15371i | 0.960600 | + | 0.277935i | \(0.0896500\pi\) |
−0.482717 | + | 0.875776i | \(0.660350\pi\) | |||||||
\(522\) | 27.7452 | + | 16.8538i | 1.21438 | + | 0.737673i | ||||
\(523\) | 1.39500 | + | 2.08777i | 0.0609992 | + | 0.0912918i | 0.860715 | − | 0.509087i | \(-0.170017\pi\) |
−0.799716 | + | 0.600378i | \(0.795017\pi\) | |||||||
\(524\) | 3.58316 | − | 10.3273i | 0.156531 | − | 0.451152i | ||||
\(525\) | −5.06772 | − | 7.21523i | −0.221174 | − | 0.314898i | ||||
\(526\) | −9.78925 | − | 17.0877i | −0.426832 | − | 0.745059i | ||||
\(527\) | 28.8869 | − | 7.74023i | 1.25834 | − | 0.337170i | ||||
\(528\) | 43.6743 | + | 5.31335i | 1.90068 | + | 0.231234i | ||||
\(529\) | 18.2123 | + | 4.87996i | 0.791838 | + | 0.212172i | ||||
\(530\) | −2.64617 | − | 10.0099i | −0.114942 | − | 0.434803i | ||||
\(531\) | −0.489360 | + | 25.8556i | −0.0212364 | + | 1.12204i | ||||
\(532\) | 26.2685 | + | 13.1741i | 1.13888 | + | 0.571171i | ||||
\(533\) | 10.0501 | + | 4.95616i | 0.435318 | + | 0.214675i | ||||
\(534\) | −13.3323 | − | 36.8492i | −0.576947 | − | 1.59462i | ||||
\(535\) | 0.0598412 | − | 0.454539i | 0.00258716 | − | 0.0196514i | ||||
\(536\) | 35.4873 | − | 1.96730i | 1.53282 | − | 0.0849743i | ||||
\(537\) | −5.86286 | + | 3.56928i | −0.253001 | + | 0.154026i | ||||
\(538\) | −19.3933 | − | 29.2361i | −0.836105 | − | 1.26046i | ||||
\(539\) | 1.49894 | − | 7.53567i | 0.0645638 | − | 0.324584i | ||||
\(540\) | −15.8112 | − | 7.84395i | −0.680405 | − | 0.337550i | ||||
\(541\) | −13.3477 | + | 19.9763i | −0.573864 | + | 0.858849i | −0.998927 | − | 0.0463152i | \(-0.985252\pi\) |
0.425062 | + | 0.905164i | \(0.360252\pi\) | |||||||
\(542\) | −0.634975 | + | 1.51853i | −0.0272745 | + | 0.0652264i | ||||
\(543\) | −13.9249 | − | 10.1792i | −0.597573 | − | 0.436832i | ||||
\(544\) | −8.81018 | + | 20.2992i | −0.377734 | + | 0.870322i | ||||
\(545\) | 0.566838 | + | 0.327264i | 0.0242807 | + | 0.0140185i | ||||
\(546\) | −13.6661 | + | 8.25713i | −0.584856 | + | 0.353372i | ||||
\(547\) | −30.0152 | − | 1.96730i | −1.28336 | − | 0.0841156i | −0.591591 | − | 0.806239i | \(-0.701500\pi\) |
−0.691765 | + | 0.722123i | \(0.743166\pi\) | |||||||
\(548\) | 3.26754 | + | 26.1762i | 0.139582 | + | 1.11819i | ||||
\(549\) | −18.4620 | − | 25.0269i | −0.787941 | − | 1.06812i | ||||
\(550\) | 1.17896 | + | 18.9625i | 0.0502709 | + | 0.808563i | ||||
\(551\) | −6.09862 | − | 46.3236i | −0.259810 | − | 1.97345i | ||||
\(552\) | 1.81666 | − | 9.80745i | 0.0773222 | − | 0.417433i | ||||
\(553\) | 4.55118 | − | 34.5696i | 0.193536 | − | 1.47005i | ||||
\(554\) | 2.68282 | − | 38.9292i | 0.113982 | − | 1.65395i | ||||
\(555\) | −21.8159 | − | 13.8539i | −0.926033 | − | 0.588067i | ||||
\(556\) | 2.44778 | − | 2.75364i | 0.103809 | − | 0.116780i | ||||
\(557\) | −3.73913 | − | 18.7979i | −0.158432 | − | 0.796491i | −0.975508 | − | 0.219962i | \(-0.929407\pi\) |
0.817076 | − | 0.576529i | \(-0.195593\pi\) | |||||||
\(558\) | −17.4146 | − | 27.3635i | −0.737219 | − | 1.15839i | ||||
\(559\) | −11.3951 | + | 11.3951i | −0.481960 | + | 0.481960i | ||||
\(560\) | −13.4688 | − | 9.26350i | −0.569159 | − | 0.391454i | ||||
\(561\) | 26.9798 | + | 33.5167i | 1.13909 | + | 1.41508i | ||||
\(562\) | −13.3311 | + | 7.63718i | −0.562340 | + | 0.322155i | ||||
\(563\) | −2.18347 | + | 6.43231i | −0.0920224 | + | 0.271089i | −0.983190 | − | 0.182585i | \(-0.941554\pi\) |
0.891168 | + | 0.453674i | \(0.149887\pi\) | |||||||
\(564\) | 10.2199 | − | 12.0501i | 0.430335 | − | 0.507402i | ||||
\(565\) | 2.52169 | − | 5.11349i | 0.106088 | − | 0.215126i | ||||
\(566\) | 9.96070 | − | 29.0229i | 0.418679 | − | 1.21992i | ||||
\(567\) | −0.819470 | + | 21.6408i | −0.0344145 | + | 0.908830i | ||||
\(568\) | 6.03648 | − | 5.91611i | 0.253285 | − | 0.248235i | ||||
\(569\) | −1.98612 | + | 0.261477i | −0.0832624 | + | 0.0109617i | −0.172042 | − | 0.985090i | \(-0.555037\pi\) |
0.0887799 | + | 0.996051i | \(0.471703\pi\) | |||||||
\(570\) | 5.45087 | + | 24.8115i | 0.228312 | + | 1.03924i | ||||
\(571\) | 11.5797 | − | 13.2041i | 0.484596 | − | 0.552576i | −0.456936 | − | 0.889500i | \(-0.651053\pi\) |
0.941532 | + | 0.336923i | \(0.109386\pi\) | |||||||
\(572\) | 34.4048 | + | 0.230972i | 1.43854 | + | 0.00965744i | ||||
\(573\) | 29.2008 | + | 24.4305i | 1.21988 | + | 1.02060i | ||||
\(574\) | 13.0230 | − | 5.34315i | 0.543568 | − | 0.223019i | ||||
\(575\) | 4.30724 | 0.179624 | ||||||||
\(576\) | 23.8690 | + | 2.50377i | 0.994543 | + | 0.104324i | ||||
\(577\) | −27.5408 | −1.14654 | −0.573268 | − | 0.819368i | \(-0.694325\pi\) | ||||
−0.573268 | + | 0.819368i | \(0.694325\pi\) | |||||||
\(578\) | 2.22105 | − | 0.911267i | 0.0923836 | − | 0.0379037i | ||||
\(579\) | −3.12970 | + | 17.9007i | −0.130066 | + | 0.743929i | ||||
\(580\) | −0.174480 | + | 25.9899i | −0.00724489 | + | 1.07917i | ||||
\(581\) | −4.90254 | + | 5.59027i | −0.203392 | + | 0.231924i | ||||
\(582\) | 19.8730 | + | 6.30769i | 0.823761 | + | 0.261462i | ||||
\(583\) | 27.1404 | − | 3.57310i | 1.12404 | − | 0.147983i | ||||
\(584\) | 0.277645 | − | 27.5708i | 0.0114891 | − | 1.14089i | ||||
\(585\) | −12.9837 | − | 4.68319i | −0.536809 | − | 0.193626i | ||||
\(586\) | −1.06928 | + | 3.11560i | −0.0441715 | + | 0.128704i | ||||
\(587\) | −14.6745 | + | 29.7569i | −0.605680 | + | 1.22820i | 0.350814 | + | 0.936445i | \(0.385905\pi\) |
−0.956494 | + | 0.291753i | \(0.905762\pi\) | |||||||
\(588\) | 0.749532 | − | 4.12368i | 0.0309102 | − | 0.170058i | ||||
\(589\) | −15.0058 | + | 44.2055i | −0.618301 | + | 1.82146i | ||||
\(590\) | −17.9650 | + | 10.2919i | −0.739608 | + | 0.423709i | ||||
\(591\) | 12.9409 | − | 2.01096i | 0.532318 | − | 0.0827197i | ||||
\(592\) | 34.3704 | + | 7.31775i | 1.41262 | + | 0.300758i | ||||
\(593\) | −13.4778 | + | 13.4778i | −0.553468 | + | 0.553468i | −0.927440 | − | 0.373972i | \(-0.877996\pi\) |
0.373972 | + | 0.927440i | \(0.377996\pi\) | |||||||
\(594\) | 25.8876 | − | 38.8261i | 1.06218 | − | 1.59305i | ||||
\(595\) | −3.11882 | − | 15.6794i | −0.127859 | − | 0.642792i | ||||
\(596\) | −13.6717 | − | 12.1531i | −0.560016 | − | 0.497811i | ||||
\(597\) | −0.301146 | + | 7.13410i | −0.0123251 | + | 0.291979i | ||||
\(598\) | 0.536267 | − | 7.78154i | 0.0219296 | − | 0.318211i | ||||
\(599\) | −2.56182 | + | 19.4589i | −0.104673 | + | 0.795070i | 0.855919 | + | 0.517109i | \(0.172992\pi\) |
−0.960592 | + | 0.277961i | \(0.910341\pi\) | |||||||
\(600\) | 0.814214 | + | 10.3320i | 0.0332402 | + | 0.421802i | ||||
\(601\) | 0.484459 | + | 3.67983i | 0.0197615 | + | 0.150103i | 0.998481 | − | 0.0551000i | \(-0.0175478\pi\) |
−0.978719 | + | 0.205203i | \(0.934214\pi\) | |||||||
\(602\) | 1.25618 | + | 20.2045i | 0.0511980 | + | 0.823475i | ||||
\(603\) | 15.0828 | − | 34.5490i | 0.614219 | − | 1.40694i | ||||
\(604\) | −5.13008 | + | 0.640382i | −0.208740 | + | 0.0260568i | ||||
\(605\) | 49.7006 | + | 3.25755i | 2.02062 | + | 0.132438i | ||||
\(606\) | 6.07149 | + | 3.34604i | 0.246638 | + | 0.135924i | ||||
\(607\) | −10.2905 | − | 5.94124i | −0.417680 | − | 0.241147i | 0.276404 | − | 0.961041i | \(-0.410857\pi\) |
−0.694084 | + | 0.719894i | \(0.744190\pi\) | |||||||
\(608\) | −18.7062 | − | 29.0392i | −0.758635 | − | 1.17770i | ||||
\(609\) | 29.1708 | − | 12.8858i | 1.18206 | − | 0.522161i | ||||
\(610\) | 9.60561 | − | 22.9716i | 0.388920 | − | 0.930092i | ||||
\(611\) | 6.86466 | − | 10.2737i | 0.277715 | − | 0.415629i | ||||
\(612\) | 15.0181 | + | 18.0373i | 0.607069 | + | 0.729116i | ||||
\(613\) | −5.87587 | + | 29.5400i | −0.237324 | + | 1.19311i | 0.659838 | + | 0.751408i | \(0.270625\pi\) |
−0.897162 | + | 0.441701i | \(0.854375\pi\) | |||||||
\(614\) | 16.7555 | + | 25.2595i | 0.676196 | + | 1.01939i | ||||
\(615\) | 10.6767 | + | 5.83736i | 0.430526 | + | 0.235385i | ||||
\(616\) | 28.8226 | − | 32.2058i | 1.16130 | − | 1.29761i | ||||
\(617\) | −1.48396 | + | 11.2718i | −0.0597420 | + | 0.453786i | 0.935262 | + | 0.353955i | \(0.115163\pi\) |
−0.995004 | + | 0.0998306i | \(0.968170\pi\) | |||||||
\(618\) | −7.59278 | − | 1.35377i | −0.305426 | − | 0.0544568i | ||||
\(619\) | 12.7021 | + | 6.26398i | 0.510540 | + | 0.251771i | 0.679266 | − | 0.733893i | \(-0.262298\pi\) |
−0.168725 | + | 0.985663i | \(0.553965\pi\) | |||||||
\(620\) | 11.6415 | − | 23.2124i | 0.467533 | − | 0.932233i | ||||
\(621\) | −8.42101 | − | 6.40381i | −0.337923 | − | 0.256976i | ||||
\(622\) | −0.0445674 | − | 0.168589i | −0.00178699 | − | 0.00675982i | ||||
\(623\) | −37.1836 | − | 9.96333i | −1.48973 | − | 0.399172i | ||||
\(624\) | 18.7673 | − | 0.184605i | 0.751295 | − | 0.00739012i | ||||
\(625\) | 9.60781 | − | 2.57440i | 0.384312 | − | 0.102976i | ||||
\(626\) | −18.8425 | − | 32.8907i | −0.753100 | − | 1.31458i | ||||
\(627\) | −66.9000 | + | 5.95049i | −2.67173 | + | 0.237640i | ||||
\(628\) | −17.1631 | − | 5.95487i | −0.684881 | − | 0.237625i | ||||
\(629\) | 19.0929 | + | 28.5745i | 0.761282 | + | 1.13934i | ||||
\(630\) | −15.2050 | + | 8.33255i | −0.605781 | + | 0.331977i | ||||
\(631\) | 11.9968 | + | 28.9628i | 0.477584 | + | 1.15299i | 0.960739 | + | 0.277454i | \(0.0894907\pi\) |
−0.483155 | + | 0.875535i | \(0.660509\pi\) | |||||||
\(632\) | −25.2764 | + | 32.2630i | −1.00544 | + | 1.28335i | ||||
\(633\) | −25.1777 | + | 0.585807i | −1.00072 | + | 0.0232838i | ||||
\(634\) | −5.81136 | + | 1.95096i | −0.230799 | + | 0.0774825i | ||||
\(635\) | −15.3438 | + | 17.4963i | −0.608901 | + | 0.694319i | ||||
\(636\) | 14.7708 | − | 2.19386i | 0.585700 | − | 0.0869924i | ||||
\(637\) | 0.214365 | − | 3.27058i | 0.00849345 | − | 0.129585i | ||||
\(638\) | −68.0985 | − | 9.19799i | −2.69605 | − | 0.364152i | ||||
\(639\) | −2.72052 | − | 8.54215i | −0.107622 | − | 0.337922i | ||||
\(640\) | 8.09128 | + | 17.4282i | 0.319836 | + | 0.688909i | ||||
\(641\) | 17.3557 | + | 30.0610i | 0.685509 | + | 1.18734i | 0.973276 | + | 0.229637i | \(0.0737538\pi\) |
−0.287767 | + | 0.957700i | \(0.592913\pi\) | |||||||
\(642\) | 0.641970 | + | 0.158390i | 0.0253365 | + | 0.00625114i | ||||
\(643\) | −30.8145 | + | 15.1960i | −1.21521 | + | 0.599274i | −0.932929 | − | 0.360059i | \(-0.882756\pi\) |
−0.282277 | + | 0.959333i | \(0.591090\pi\) | |||||||
\(644\) | −6.88175 | − | 6.97477i | −0.271179 | − | 0.274845i | ||||
\(645\) | −12.8847 | + | 11.8410i | −0.507336 | + | 0.466240i | ||||
\(646\) | 6.70158 | − | 33.1099i | 0.263670 | − | 1.30269i | ||||
\(647\) | −7.13500 | + | 17.2254i | −0.280506 | + | 0.677201i | −0.999848 | − | 0.0174554i | \(-0.994443\pi\) |
0.719342 | + | 0.694656i | \(0.244443\pi\) | |||||||
\(648\) | 13.7693 | − | 21.4104i | 0.540909 | − | 0.841081i | ||||
\(649\) | −20.9482 | − | 50.5735i | −0.822289 | − | 1.98518i | ||||
\(650\) | 1.55447 | + | 7.95430i | 0.0609714 | + | 0.311993i | ||||
\(651\) | −31.8342 | − | 1.34379i | −1.24768 | − | 0.0526673i | ||||
\(652\) | −4.69614 | − | 24.4664i | −0.183915 | − | 0.958178i | ||||
\(653\) | −2.48240 | + | 7.31290i | −0.0971437 | + | 0.286176i | −0.984629 | − | 0.174660i | \(-0.944117\pi\) |
0.887485 | + | 0.460837i | \(0.152451\pi\) | |||||||
\(654\) | −0.559650 | + | 0.760216i | −0.0218840 | + | 0.0297268i | ||||
\(655\) | 2.40253 | − | 8.96638i | 0.0938747 | − | 0.350345i | ||||
\(656\) | −16.3741 | − | 2.37976i | −0.639300 | − | 0.0929139i | ||||
\(657\) | −25.9794 | − | 13.4287i | −1.01355 | − | 0.523902i | ||||
\(658\) | −3.96692 | − | 15.0061i | −0.154647 | − | 0.584997i | ||||
\(659\) | −23.5232 | + | 20.6293i | −0.916334 | + | 0.803603i | −0.980941 | − | 0.194308i | \(-0.937754\pi\) |
0.0646070 | + | 0.997911i | \(0.479421\pi\) | |||||||
\(660\) | 37.3163 | + | 1.82624i | 1.45253 | + | 0.0710862i | ||||
\(661\) | −0.196698 | − | 3.00104i | −0.00765067 | − | 0.116727i | 0.992325 | − | 0.123655i | \(-0.0394615\pi\) |
−0.999976 | + | 0.00692779i | \(0.997795\pi\) | |||||||
\(662\) | −42.2413 | − | 2.91107i | −1.64175 | − | 0.113142i | ||||
\(663\) | 13.2770 | + | 12.6732i | 0.515637 | + | 0.492188i | ||||
\(664\) | 8.30401 | − | 2.72589i | 0.322258 | − | 0.105785i | ||||
\(665\) | 23.0553 | + | 9.54982i | 0.894046 | + | 0.370326i | ||||
\(666\) | 23.3432 | − | 29.0574i | 0.904531 | − | 1.12595i | ||||
\(667\) | −3.03924 | + | 15.2793i | −0.117680 | + | 0.591616i | ||||
\(668\) | 1.91320 | − | 13.8149i | 0.0740240 | − | 0.534515i | ||||
\(669\) | 21.6658 | − | 25.8963i | 0.837649 | − | 1.00121i | ||||
\(670\) | 29.9364 | − | 3.83902i | 1.15654 | − | 0.148314i | ||||
\(671\) | 57.0114 | + | 32.9155i | 2.20090 | + | 1.27069i | ||||
\(672\) | 15.4299 | − | 17.8261i | 0.595219 | − | 0.687655i | ||||
\(673\) | −8.28086 | + | 4.78095i | −0.319204 | + | 0.184292i | −0.651038 | − | 0.759046i | \(-0.725666\pi\) |
0.331834 | + | 0.943338i | \(0.392333\pi\) | |||||||
\(674\) | −1.51714 | + | 1.15607i | −0.0584381 | + | 0.0445303i | ||||
\(675\) | 10.1741 | + | 4.16262i | 0.391601 | + | 0.160219i | ||||
\(676\) | −11.2358 | + | 1.40255i | −0.432147 | + | 0.0539444i | ||||
\(677\) | 13.2927 | − | 4.51228i | 0.510882 | − | 0.173421i | −0.0540824 | − | 0.998536i | \(-0.517223\pi\) |
0.564964 | + | 0.825116i | \(0.308890\pi\) | |||||||
\(678\) | 6.92675 | + | 4.43146i | 0.266020 | + | 0.170189i | ||||
\(679\) | 16.2495 | − | 12.4687i | 0.623598 | − | 0.478504i | ||||
\(680\) | −6.21914 | + | 17.7323i | −0.238493 | + | 0.680004i | ||||
\(681\) | 3.85325 | − | 1.12917i | 0.147657 | − | 0.0432699i | ||||
\(682\) | 56.9583 | + | 38.3355i | 2.18105 | + | 1.46794i | ||||
\(683\) | 17.9150 | − | 11.9704i | 0.685499 | − | 0.458036i | −0.163422 | − | 0.986556i | \(-0.552253\pi\) |
0.848920 | + | 0.528521i | \(0.177253\pi\) | |||||||
\(684\) | −36.4353 | + | 3.84948i | −1.39314 | + | 0.147188i | ||||
\(685\) | 4.37020 | + | 21.9705i | 0.166977 | + | 0.839448i | ||||
\(686\) | −19.6888 | − | 19.8214i | −0.751720 | − | 0.756784i | ||||
\(687\) | 5.14893 | + | 1.99374i | 0.196444 | + | 0.0760660i | ||||
\(688\) | 10.8099 | − | 21.1980i | 0.412124 | − | 0.808167i | ||||
\(689\) | 11.2797 | − | 3.02240i | 0.429724 | − | 0.115144i | ||||
\(690\) | 0.938187 | − | 8.41788i | 0.0357162 | − | 0.320463i | ||||
\(691\) | −4.54733 | − | 5.18524i | −0.172989 | − | 0.197256i | 0.658848 | − | 0.752276i | \(-0.271044\pi\) |
−0.831837 | + | 0.555020i | \(0.812711\pi\) | |||||||
\(692\) | −2.28745 | + | 31.6433i | −0.0869559 | + | 1.20290i | ||||
\(693\) | −16.7382 | − | 42.6765i | −0.635833 | − | 1.62115i | ||||
\(694\) | 4.35077 | − | 12.6770i | 0.165153 | − | 0.481212i | ||||
\(695\) | 1.90461 | − | 2.48213i | 0.0722458 | − | 0.0941526i | ||||
\(696\) | −37.2257 | − | 4.40207i | −1.41104 | − | 0.166860i | ||||
\(697\) | −9.85061 | − | 12.8376i | −0.373119 | − | 0.486258i | ||||
\(698\) | −3.20818 | − | 9.55625i | −0.121431 | − | 0.361709i | ||||
\(699\) | −6.93105 | + | 6.36960i | −0.262157 | + | 0.240921i | ||||
\(700\) | 8.78273 | + | 5.14963i | 0.331956 | + | 0.194638i | ||||
\(701\) | −36.6093 | − | 24.4615i | −1.38271 | − | 0.923899i | −1.00000 | 3.17479e-5i | \(-0.999990\pi\) | |
−0.382713 | − | 0.923867i | \(-0.625010\pi\) | |||||||
\(702\) | 8.78700 | − | 17.8625i | 0.331644 | − | 0.674175i | ||||
\(703\) | −53.6454 | −2.02328 | ||||||||
\(704\) | −48.4256 | + | 15.3578i | −1.82511 | + | 0.578820i | ||||
\(705\) | 7.91820 | − | 10.8319i | 0.298217 | − | 0.407952i | ||||
\(706\) | −9.31262 | − | 7.19562i | −0.350485 | − | 0.270811i | ||||
\(707\) | 6.10781 | − | 3.01204i | 0.229708 | − | 0.113279i | ||||
\(708\) | −11.8822 | − | 27.3950i | −0.446562 | − | 1.02957i | ||||
\(709\) | −3.85116 | − | 11.3452i | −0.144633 | − | 0.426076i | 0.850338 | − | 0.526237i | \(-0.176398\pi\) |
−0.994971 | + | 0.100161i | \(0.968064\pi\) | |||||||
\(710\) | 4.75052 | − | 5.38039i | 0.178284 | − | 0.201922i | ||||
\(711\) | 18.4857 | + | 39.3453i | 0.693269 | + | 1.47556i | ||||
\(712\) | 31.6722 | + | 32.3166i | 1.18696 | + | 1.21111i | ||||
\(713\) | 9.47547 | − | 12.3487i | 0.354859 | − | 0.462462i | ||||
\(714\) | 22.9728 | − | 1.96564i | 0.859737 | − | 0.0735624i | ||||
\(715\) | 29.1541 | − | 1.91086i | 1.09030 | − | 0.0714622i | ||||
\(716\) | 4.44744 | − | 6.56029i | 0.166209 | − | 0.245170i | ||||
\(717\) | −2.70466 | − | 3.85079i | −0.101007 | − | 0.143810i | ||||
\(718\) | −0.167243 | + | 49.8245i | −0.00624146 | + | 1.85943i | ||||
\(719\) | 6.91132 | + | 6.91132i | 0.257749 | + | 0.257749i | 0.824138 | − | 0.566389i | \(-0.191660\pi\) |
−0.566389 | + | 0.824138i | \(0.691660\pi\) | |||||||
\(720\) | 20.3698 | + | 0.659210i | 0.759136 | + | 0.0245673i | ||||
\(721\) | −5.35733 | + | 5.35733i | −0.199518 | + | 0.199518i | ||||
\(722\) | 18.2259 | + | 18.3487i | 0.678298 | + | 0.682867i | ||||
\(723\) | −3.05328 | − | 34.3273i | −0.113553 | − | 1.27665i | ||||
\(724\) | 19.5079 | + | 4.01669i | 0.725005 | + | 0.149279i | ||||
\(725\) | −1.05870 | − | 16.1527i | −0.0393192 | − | 0.599895i | ||||
\(726\) | −12.6092 | + | 70.7198i | −0.467970 | + | 2.62466i | ||||
\(727\) | −7.75852 | − | 5.95332i | −0.287747 | − | 0.220796i | 0.454794 | − | 0.890597i | \(-0.349713\pi\) |
−0.742541 | + | 0.669800i | \(0.766380\pi\) | |||||||
\(728\) | 10.3969 | − | 15.2259i | 0.385335 | − | 0.564310i | ||||
\(729\) | −13.7024 | − | 23.2647i | −0.507495 | − | 0.861654i | ||||
\(730\) | −1.45291 | − | 23.3688i | −0.0537746 | − | 0.864918i | ||||
\(731\) | 22.0357 | − | 7.48011i | 0.815020 | − | 0.276662i | ||||
\(732\) | 31.3926 | + | 17.4383i | 1.16030 | + | 0.644539i | ||||
\(733\) | −9.81886 | − | 19.9107i | −0.362668 | − | 0.735418i | 0.636695 | − | 0.771116i | \(-0.280301\pi\) |
−0.999363 | + | 0.0356982i | \(0.988634\pi\) | |||||||
\(734\) | −1.42698 | − | 11.1275i | −0.0526708 | − | 0.410723i | ||||
\(735\) | 0.382355 | − | 3.53854i | 0.0141034 | − | 0.130521i | ||||
\(736\) | 2.79378 | + | 11.1733i | 0.102980 | + | 0.411854i | ||||
\(737\) | 79.7976i | 2.93938i | ||||||||
\(738\) | −10.0728 | + | 14.3713i | −0.370786 | + | 0.529014i | ||||
\(739\) | 11.2095 | − | 16.7762i | 0.412348 | − | 0.617122i | −0.565922 | − | 0.824459i | \(-0.691480\pi\) |
0.978270 | + | 0.207337i | \(0.0664796\pi\) | |||||||
\(740\) | 29.5589 | + | 4.09356i | 1.08661 | + | 0.150482i | ||||
\(741\) | −27.9632 | + | 6.24173i | −1.02725 | + | 0.229296i | ||||
\(742\) | 6.53219 | − | 13.1346i | 0.239804 | − | 0.482188i | ||||
\(743\) | 11.7628 | − | 9.02588i | 0.431534 | − | 0.331127i | −0.370048 | − | 0.929013i | \(-0.620659\pi\) |
0.801582 | + | 0.597885i | \(0.203992\pi\) | |||||||
\(744\) | 31.4126 | + | 20.3950i | 1.15164 | + | 0.747716i | ||||
\(745\) | −12.3237 | − | 9.45631i | −0.451505 | − | 0.346452i | ||||
\(746\) | −5.08182 | − | 10.3927i | −0.186059 | − | 0.380504i | ||||
\(747\) | 1.38370 | − | 9.16629i | 0.0506269 | − | 0.335377i | ||||
\(748\) | −44.4106 | − | 22.2728i | −1.62381 | − | 0.814373i | ||||
\(749\) | 0.488359 | − | 0.428279i | 0.0178442 | − | 0.0156490i | ||||
\(750\) | 4.44720 | + | 29.2657i | 0.162389 | + | 1.06863i | ||||
\(751\) | −11.2896 | − | 42.1332i | −0.411962 | − | 1.53746i | −0.790845 | − | 0.612017i | \(-0.790358\pi\) |
0.378883 | − | 0.925445i | \(-0.376308\pi\) | |||||||
\(752\) | −4.95826 | + | 17.5580i | −0.180809 | + | 0.640276i | ||||
\(753\) | 47.0500 | − | 7.31136i | 1.71460 | − | 0.266441i | ||||
\(754\) | −29.3136 | − | 0.0983954i | −1.06754 | − | 0.00358335i | ||||
\(755\) | −4.30584 | + | 0.856484i | −0.156705 | + | 0.0311706i | ||||
\(756\) | −9.51472 | − | 23.1257i | −0.346047 | − | 0.841075i | ||||
\(757\) | 6.31273 | + | 9.44766i | 0.229440 | + | 0.343381i | 0.928270 | − | 0.371906i | \(-0.121296\pi\) |
−0.698830 | + | 0.715287i | \(0.746296\pi\) | |||||||
\(758\) | 0.596325 | + | 3.05142i | 0.0216595 | + | 0.110833i | ||||
\(759\) | 21.7599 | + | 5.29128i | 0.789836 | + | 0.192061i | ||||
\(760\) | −17.6216 | − | 23.4501i | −0.639203 | − | 0.850626i | ||||
\(761\) | −3.47107 | − | 4.52358i | −0.125826 | − | 0.163980i | 0.726192 | − | 0.687492i | \(-0.241288\pi\) |
−0.852018 | + | 0.523512i | \(0.824622\pi\) | |||||||
\(762\) | −22.6277 | − | 24.7887i | −0.819715 | − | 0.898000i | ||||
\(763\) | 0.298084 | + | 0.878127i | 0.0107914 | + | 0.0317903i | ||||
\(764\) | −42.3873 | − | 11.6632i | −1.53352 | − | 0.421959i | ||||
\(765\) | 13.8243 | + | 14.3577i | 0.499817 | + | 0.519102i | ||||
\(766\) | 35.6902 | + | 4.82063i | 1.28954 | + | 0.174176i | ||||
\(767\) | −11.6758 | − | 20.2230i | −0.421587 | − | 0.730211i | ||||
\(768\) | −26.2739 | + | 8.81372i | −0.948078 | + | 0.318038i | ||||
\(769\) | −15.5452 | + | 26.9250i | −0.560573 | + | 0.970940i | 0.436874 | + | 0.899523i | \(0.356086\pi\) |
−0.997446 | + | 0.0714176i | \(0.977248\pi\) | |||||||
\(770\) | 22.4401 | − | 29.0422i | 0.808686 | − | 1.04661i | ||||
\(771\) | 0.599174 | − | 3.42706i | 0.0215787 | − | 0.123422i | ||||
\(772\) | −5.29474 | − | 20.3045i | −0.190562 | − | 0.730776i | ||||
\(773\) | 38.1642 | + | 7.59133i | 1.37267 | + | 0.273041i | 0.825699 | − | 0.564110i | \(-0.190781\pi\) |
0.546971 | + | 0.837151i | \(0.315781\pi\) | |||||||
\(774\) | −14.9144 | − | 20.3605i | −0.536086 | − | 0.731841i | ||||
\(775\) | −6.18927 | + | 14.9422i | −0.222325 | + | 0.536741i | ||||
\(776\) | −23.9000 | + | 2.90196i | −0.857959 | + | 0.104174i | ||||
\(777\) | −10.2967 | − | 35.1371i | −0.369391 | − | 1.26053i | ||||
\(778\) | −35.8107 | + | 31.1931i | −1.28388 | + | 1.11833i | ||||
\(779\) | 25.2050 | − | 1.65202i | 0.903061 | − | 0.0591898i | ||||
\(780\) | 15.8842 | − | 1.30542i | 0.568744 | − | 0.0467414i | ||||
\(781\) | 12.5122 | + | 14.2674i | 0.447721 | + | 0.510528i | ||||
\(782\) | −5.66444 | + | 9.73547i | −0.202560 | + | 0.348140i | ||||
\(783\) | −21.9453 | + | 33.1539i | −0.784260 | + | 1.18482i | ||||
\(784\) | 1.18971 | + | 4.69112i | 0.0424897 | + | 0.167540i | ||||
\(785\) | −14.9013 | − | 3.99278i | −0.531849 | − | 0.142508i | ||||
\(786\) | 12.4685 | + | 4.87616i | 0.444735 | + | 0.173927i | ||||
\(787\) | −5.69933 | − | 1.93466i | −0.203159 | − | 0.0689632i | 0.218005 | − | 0.975948i | \(-0.430045\pi\) |
−0.421164 | + | 0.906984i | \(0.638378\pi\) | |||||||
\(788\) | −12.6298 | + | 8.31685i | −0.449917 | + | 0.296276i | ||||
\(789\) | 21.3777 | − | 11.1679i | 0.761067 | − | 0.397586i | ||||
\(790\) | −19.4331 | + | 28.8735i | −0.691400 | + | 1.02727i | ||||
\(791\) | 7.46299 | − | 3.09127i | 0.265353 | − | 0.109913i | ||||
\(792\) | −8.57910 | + | 53.1969i | −0.304845 | + | 1.89027i | ||||
\(793\) | 25.9450 | + | 10.7468i | 0.921335 | + | 0.381629i | ||||
\(794\) | −9.72840 | − | 14.6659i | −0.345248 | − | 0.520474i | ||||
\(795\) | 12.3762 | − | 2.76251i | 0.438937 | − | 0.0979762i | ||||
\(796\) | −3.10405 | − | 7.63847i | −0.110020 | − | 0.270739i | ||||
\(797\) | 1.72566 | + | 3.49930i | 0.0611261 | + | 0.123951i | 0.925292 | − | 0.379256i | \(-0.123820\pi\) |
−0.864166 | + | 0.503207i | \(0.832153\pi\) | |||||||
\(798\) | −17.3717 | + | 31.5215i | −0.614953 | + | 1.11585i | ||||
\(799\) | −15.4521 | + | 8.92128i | −0.546656 | + | 0.315612i | ||||
\(800\) | −5.80889 | − | 10.4630i | −0.205375 | − | 0.369922i | ||||
\(801\) | 45.7307 | − | 14.5644i | 1.61582 | − | 0.514607i | ||||
\(802\) | −4.24307 | + | 3.23325i | −0.149828 | + | 0.114170i | ||||
\(803\) | 61.7720 | + | 4.04875i | 2.17989 | + | 0.142877i | ||||
\(804\) | 0.720359 | + | 43.5237i | 0.0254051 | + | 1.53496i | ||||
\(805\) | −6.25570 | − | 5.48610i | −0.220485 | − | 0.193360i | ||||
\(806\) | 26.2244 | + | 13.0420i | 0.923713 | + | 0.459386i | ||||
\(807\) | 36.7019 | − | 22.3439i | 1.29197 | − | 0.786543i | ||||
\(808\) | −7.98210 | − | 0.603955i | −0.280809 | − | 0.0212471i | ||||
\(809\) | 14.4966 | − | 6.00467i | 0.509672 | − | 0.211113i | −0.113002 | − | 0.993595i | \(-0.536047\pi\) |
0.622673 | + | 0.782482i | \(0.286047\pi\) | |||||||
\(810\) | 10.3513 | − | 18.9771i | 0.363709 | − | 0.666788i | ||||
\(811\) | −28.8635 | + | 19.2859i | −1.01353 | + | 0.677221i | −0.947222 | − | 0.320578i | \(-0.896123\pi\) |
−0.0663109 | + | 0.997799i | \(0.521123\pi\) | |||||||
\(812\) | −24.4648 | + | 27.5218i | −0.858545 | + | 0.965826i | ||||
\(813\) | −1.82822 | − | 0.849296i | −0.0641184 | − | 0.0297861i | ||||
\(814\) | −20.6758 | + | 76.1400i | −0.724687 | + | 2.66871i | ||||
\(815\) | −5.47550 | − | 20.4349i | −0.191799 | − | 0.715802i | ||||
\(816\) | −24.4237 | − | 11.7472i | −0.855002 | − | 0.411235i | ||||
\(817\) | −9.40169 | + | 35.0876i | −0.328924 | + | 1.22756i | ||||
\(818\) | −8.33273 | − | 4.84827i | −0.291347 | − | 0.169516i | ||||
\(819\) | −9.45549 | − | 17.1175i | −0.330402 | − | 0.598134i | ||||
\(820\) | −14.0141 | − | 1.01306i | −0.489394 | − | 0.0353777i | ||||
\(821\) | 17.0585 | − | 34.5911i | 0.595344 | − | 1.20724i | −0.365671 | − | 0.930744i | \(-0.619161\pi\) |
0.961015 | − | 0.276495i | \(-0.0891728\pi\) | |||||||
\(822\) | −32.1903 | + | 2.75433i | −1.12277 | + | 0.0960682i | ||||
\(823\) | −45.4805 | − | 5.98762i | −1.58535 | − | 0.208715i | −0.714275 | − | 0.699865i | \(-0.753243\pi\) |
−0.871075 | + | 0.491150i | \(0.836577\pi\) | |||||||
\(824\) | 8.62498 | − | 2.21821i | 0.300465 | − | 0.0772752i | ||||
\(825\) | −23.2628 | + | 0.541253i | −0.809905 | + | 0.0188440i | ||||
\(826\) | −28.7509 | − | 5.81930i | −1.00037 | − | 0.202479i | ||||
\(827\) | −32.0668 | − | 6.37848i | −1.11507 | − | 0.221802i | −0.397033 | − | 0.917804i | \(-0.629960\pi\) |
−0.718039 | + | 0.696003i | \(0.754960\pi\) | |||||||
\(828\) | 11.9162 | + | 2.68957i | 0.414117 | + | 0.0934690i | ||||
\(829\) | 21.9431 | + | 14.6619i | 0.762115 | + | 0.509229i | 0.874849 | − | 0.484396i | \(-0.160961\pi\) |
−0.112734 | + | 0.993625i | \(0.535961\pi\) | |||||||
\(830\) | 6.86638 | − | 2.81718i | 0.238336 | − | 0.0977859i | ||||
\(831\) | 47.5149 | + | 5.13420i | 1.64827 | + | 0.178103i | ||||
\(832\) | −19.6259 | + | 9.19178i | −0.680404 | + | 0.318668i | ||||
\(833\) | −2.36648 | + | 4.09886i | −0.0819936 | + | 0.142017i | ||||
\(834\) | 3.25359 | + | 3.12656i | 0.112662 | + | 0.108264i | ||||
\(835\) | 0.774593 | − | 11.8180i | 0.0268059 | − | 0.408979i | ||||
\(836\) | 67.4229 | − | 38.3254i | 2.33187 | − | 1.32551i | ||||
\(837\) | 34.3160 | − | 20.0114i | 1.18613 | − | 0.691694i | ||||
\(838\) | 6.73807 | − | 7.63147i | 0.232763 | − | 0.263625i | ||||
\(839\) | 30.1969 | − | 3.97549i | 1.04251 | − | 0.137249i | 0.410225 | − | 0.911984i | \(-0.365450\pi\) |
0.632286 | + | 0.774735i | \(0.282117\pi\) | |||||||
\(840\) | 11.9773 | − | 16.0429i | 0.413254 | − | 0.553534i | ||||
\(841\) | 29.2944 | + | 3.85668i | 1.01015 | + | 0.132989i | ||||
\(842\) | 3.53811 | + | 4.06187i | 0.121931 | + | 0.139981i | ||||
\(843\) | −8.71271 | − | 16.6780i | −0.300082 | − | 0.574422i | ||||
\(844\) | 26.1673 | − | 12.6866i | 0.900716 | − | 0.436691i | ||||
\(845\) | −9.43057 | + | 1.87586i | −0.324422 | + | 0.0645315i | ||||
\(846\) | 14.2613 | + | 13.0803i | 0.490314 | + | 0.449709i | ||||
\(847\) | 49.8986 | + | 49.8986i | 1.71454 | + | 1.71454i | ||||
\(848\) | −14.4643 | + | 9.38632i | −0.496707 | + | 0.322328i | ||||
\(849\) | 35.0452 | + | 13.5700i | 1.20275 | + | 0.465722i | ||||
\(850\) | 3.06703 | − | 11.2945i | 0.105198 | − | 0.387399i | ||||
\(851\) | 16.9374 | + | 5.74946i | 0.580605 | + | 0.197089i | ||||
\(852\) | 6.95326 | + | 7.66886i | 0.238215 | + | 0.262731i | ||||
\(853\) | −52.2476 | − | 25.7657i | −1.78892 | − | 0.882199i | −0.926872 | − | 0.375378i | \(-0.877513\pi\) |
−0.862051 | − | 0.506821i | \(-0.830821\pi\) | |||||||
\(854\) | 31.6913 | − | 15.4964i | 1.08445 | − | 0.530275i | ||||
\(855\) | −30.6240 | + | 5.49121i | −1.04732 | + | 0.187796i | ||||
\(856\) | −0.750303 | + | 0.141406i | −0.0256448 | + | 0.00483314i | ||||
\(857\) | 3.57626 | + | 27.1644i | 0.122163 | + | 0.927919i | 0.937269 | + | 0.348607i | \(0.113345\pi\) |
−0.815106 | + | 0.579312i | \(0.803321\pi\) | |||||||
\(858\) | −1.91846 | + | 42.0944i | −0.0654952 | + | 1.43708i | ||||
\(859\) | −18.9296 | − | 16.6008i | −0.645869 | − | 0.566412i | 0.272491 | − | 0.962158i | \(-0.412153\pi\) |
−0.918360 | + | 0.395746i | \(0.870486\pi\) | |||||||
\(860\) | 7.85783 | − | 18.6160i | 0.267950 | − | 0.634801i | ||||
\(861\) | 5.91988 | + | 16.1918i | 0.201749 | + | 0.551816i | ||||
\(862\) | −38.5978 | − | 16.1397i | −1.31465 | − | 0.549721i | ||||
\(863\) | 9.76384i | 0.332365i | 0.986095 | + | 0.166182i | \(0.0531441\pi\) | ||||
−0.986095 | + | 0.166182i | \(0.946856\pi\) | |||||||
\(864\) | −4.19904 | + | 29.0924i | −0.142854 | + | 0.989744i | ||||
\(865\) | 26.9411i | 0.916025i | ||||||||
\(866\) | −11.7744 | + | 28.1583i | −0.400111 | + | 0.956857i | ||||
\(867\) | 1.00963 | + | 2.76150i | 0.0342888 | + | 0.0937854i | ||||
\(868\) | 34.0849 | − | 13.8511i | 1.15692 | − | 0.470136i | ||||
\(869\) | −69.1838 | − | 60.6725i | −2.34690 | − | 2.05818i | ||||
\(870\) | −31.7987 | − | 1.44924i | −1.07808 | − | 0.0491337i | ||||
\(871\) | 4.44320 | + | 33.7494i | 0.150552 | + | 1.14356i | ||||
\(872\) | 0.223410 | − | 1.06690i | 0.00756563 | − | 0.0361297i | ||||
\(873\) | −8.66436 | + | 24.0211i | −0.293244 | + | 0.812990i | ||||
\(874\) | −7.72342 | − | 15.7950i | −0.261248 | − | 0.534273i | ||||
\(875\) | 26.0804 | + | 12.8614i | 0.881677 | + | 0.434795i | ||||
\(876\) | 33.7286 | + | 1.65066i | 1.13958 | + | 0.0557705i | ||||
\(877\) | −3.61154 | − | 1.22595i | −0.121953 | − | 0.0413975i | 0.259796 | − | 0.965664i | \(-0.416345\pi\) |
−0.381749 | + | 0.924266i | \(0.624678\pi\) | |||||||
\(878\) | 6.25050 | + | 1.69732i | 0.210944 | + | 0.0572819i | ||||
\(879\) | −3.76209 | − | 1.45674i | −0.126892 | − | 0.0491346i | ||||
\(880\) | −40.0749 | + | 15.9726i | −1.35092 | + | 0.538437i | ||||
\(881\) | −28.5838 | − | 28.5838i | −0.963014 | − | 0.963014i | 0.0363258 | − | 0.999340i | \(-0.488435\pi\) |
−0.999340 | + | 0.0363258i | \(0.988435\pi\) | |||||||
\(882\) | 5.01101 | + | 1.11336i | 0.168729 | + | 0.0374886i | ||||
\(883\) | −11.7105 | + | 2.32936i | −0.394089 | + | 0.0783891i | −0.388157 | − | 0.921593i | \(-0.626888\pi\) |
−0.00593180 | + | 0.999982i | \(0.501888\pi\) | |||||||
\(884\) | −20.0231 | − | 6.94717i | −0.673449 | − | 0.233659i | ||||
\(885\) | −11.7412 | − | 22.4753i | −0.394678 | − | 0.755499i | ||||
\(886\) | 20.7811 | − | 18.1015i | 0.698154 | − | 0.608131i | ||||
\(887\) | −6.36726 | − | 0.838266i | −0.213792 | − | 0.0281462i | 0.0228694 | − | 0.999738i | \(-0.492720\pi\) |
−0.236661 | + | 0.971592i | \(0.576053\pi\) | |||||||
\(888\) | −10.5898 | + | 41.7154i | −0.355370 | + | 1.39988i | ||||
\(889\) | −32.6889 | + | 4.30357i | −1.09635 | + | 0.144337i | ||||
\(890\) | 28.8041 | + | 25.4321i | 0.965517 | + | 0.852486i | ||||
\(891\) | 46.2853 | + | 33.5279i | 1.55062 | + | 1.12323i | ||||
\(892\) | −10.3433 | + | 37.5905i | −0.346320 | + | 1.25862i | ||||
\(893\) | 1.82161 | − | 27.7925i | 0.0609580 | − | 0.930040i | ||||
\(894\) | 15.5233 | − | 16.1539i | 0.519176 | − | 0.540269i | ||||
\(895\) | 3.36520 | − | 5.82870i | 0.112486 | − | 0.194832i | ||||
\(896\) | −7.66189 | + | 26.1233i | −0.255966 | + | 0.872719i | ||||
\(897\) | 9.49772 | + | 1.02627i | 0.317120 | + | 0.0342662i | ||||
\(898\) | 7.15265 | + | 17.4333i | 0.238687 | + | 0.581757i | ||||
\(899\) | −48.6381 | − | 32.4990i | −1.62217 | − | 1.08390i | ||||
\(900\) | −12.6832 | + | 0.505214i | −0.422774 | + | 0.0168405i | ||||
\(901\) | −16.5389 | − | 3.28979i | −0.550990 | − | 0.109599i | ||||
\(902\) | 7.36966 | − | 36.4106i | 0.245383 | − | 1.21234i | ||||
\(903\) | −24.7865 | + | 0.576705i | −0.824842 | + | 0.0191915i | ||||
\(904\) | −9.40091 | − | 1.33409i | −0.312670 | − | 0.0443712i | ||||
\(905\) | 16.7686 | + | 2.20763i | 0.557407 | + | 0.0733840i | ||||
\(906\) | −0.539801 | − | 6.30875i | −0.0179337 | − | 0.209594i | ||||
\(907\) | 20.3028 | − | 41.1701i | 0.674144 | − | 1.36703i | −0.243607 | − | 0.969874i | \(-0.578331\pi\) |
0.917751 | − | 0.397155i | \(-0.130003\pi\) | |||||||
\(908\) | −3.50632 | + | 3.03356i | −0.116361 | + | 0.100672i | ||||
\(909\) | −4.38363 | + | 7.27134i | −0.145396 | + | 0.241175i | ||||
\(910\) | 7.87369 | − | 13.5325i | 0.261010 | − | 0.448599i | ||||
\(911\) | −10.8414 | + | 40.4605i | −0.359191 | + | 1.34052i | 0.515938 | + | 0.856626i | \(0.327444\pi\) |
−0.875128 | + | 0.483891i | \(0.839223\pi\) | |||||||
\(912\) | 36.4282 | − | 21.5123i | 1.20626 | − | 0.712345i | ||||
\(913\) | 5.07875 | + | 18.9541i | 0.168082 | + | 0.627291i | ||||
\(914\) | 25.4318 | + | 6.90600i | 0.841208 | + | 0.228430i | ||||
\(915\) | 27.6564 | + | 12.8477i | 0.914293 | + | 0.424733i | ||||
\(916\) | −6.36464 | + | 0.374267i | −0.210294 | + | 0.0123661i | ||||
\(917\) | 10.9353 | − | 7.30673i | 0.361115 | − | 0.241289i | ||||
\(918\) | −22.7885 | + | 17.5218i | −0.752133 | + | 0.578306i | ||||
\(919\) | −27.5335 | + | 11.4047i | −0.908246 | + | 0.376208i | −0.787385 | − | 0.616461i | \(-0.788566\pi\) |
−0.120861 | + | 0.992669i | \(0.538566\pi\) | |||||||
\(920\) | 3.05036 | + | 9.29247i | 0.100567 | + | 0.306364i | ||||
\(921\) | −31.7098 | + | 19.3047i | −1.04487 | + | 0.636113i | ||||
\(922\) | 13.6204 | − | 27.3874i | 0.448565 | − | 0.901954i | ||||
\(923\) | 6.08629 | + | 5.33754i | 0.200333 | + | 0.175687i | ||||
\(924\) | 38.0438 | + | 36.8050i | 1.25155 | + | 1.21079i | ||||
\(925\) | −18.5457 | − | 1.21555i | −0.609779 | − | 0.0399670i | ||||
\(926\) | −14.0520 | − | 18.4408i | −0.461779 | − | 0.606003i | ||||
\(927\) | 2.01778 | − | 9.22784i | 0.0662726 | − | 0.303082i | ||||
\(928\) | 41.2147 | − | 13.2234i | 1.35294 | − | 0.434079i | ||||
\(929\) | −22.7745 | + | 13.1489i | −0.747206 | + | 0.431400i | −0.824684 | − | 0.565594i | \(-0.808647\pi\) |
0.0774772 | + | 0.996994i | \(0.475313\pi\) | |||||||
\(930\) | 27.8544 | + | 15.3507i | 0.913380 | + | 0.503370i | ||||
\(931\) | −3.26768 | − | 6.62619i | −0.107094 | − | 0.217165i | ||||
\(932\) | 4.22694 | − | 10.0141i | 0.138458 | − | 0.328022i | ||||
\(933\) | 0.208442 | − | 0.0465269i | 0.00682410 | − | 0.00152322i | ||||
\(934\) | 10.3087 | − | 6.83811i | 0.337311 | − | 0.223750i | ||||
\(935\) | −38.9783 | − | 16.1453i | −1.27473 | − | 0.528009i | ||||
\(936\) | −0.666379 | + | 22.9767i | −0.0217813 | + | 0.751016i | ||||
\(937\) | −15.4391 | + | 6.39508i | −0.504373 | + | 0.208918i | −0.620337 | − | 0.784335i | \(-0.713004\pi\) |
0.115964 | + | 0.993253i | \(0.463004\pi\) | |||||||
\(938\) | 35.4749 | + | 23.8762i | 1.15830 | + | 0.779585i | ||||
\(939\) | 41.1482 | − | 21.4961i | 1.34282 | − | 0.701499i | ||||
\(940\) | −3.12450 | + | 15.1748i | −0.101910 | + | 0.494947i | ||||
\(941\) | −42.1418 | − | 14.3052i | −1.37378 | − | 0.466337i | −0.465632 | − | 0.884978i | \(-0.654173\pi\) |
−0.908152 | + | 0.418642i | \(0.862506\pi\) | |||||||
\(942\) | 8.10372 | − | 20.7214i | 0.264033 | − | 0.675140i | ||||
\(943\) | −8.13497 | − | 2.17976i | −0.264911 | − | 0.0709827i | ||||
\(944\) | 25.6161 | + | 23.0805i | 0.833734 | + | 0.751206i | ||||
\(945\) | −9.47463 | − | 19.0043i | −0.308210 | − | 0.618212i | ||||
\(946\) | 46.1769 | + | 26.8673i | 1.50134 | + | 0.873532i | ||||
\(947\) | 29.8972 | + | 34.0912i | 0.971527 | + | 1.10781i | 0.994143 | + | 0.108070i | \(0.0344670\pi\) |
−0.0226164 | + | 0.999744i | \(0.507200\pi\) | |||||||
\(948\) | −38.2823 | − | 32.4678i | −1.24335 | − | 1.05451i | ||||
\(949\) | 26.3512 | − | 1.72715i | 0.855395 | − | 0.0560655i | ||||
\(950\) | 11.9995 | + | 13.7758i | 0.389316 | + | 0.446947i | ||||
\(951\) | −2.11132 | − | 7.20483i | −0.0684644 | − | 0.233632i | ||||
\(952\) | −23.1897 | + | 13.0790i | −0.751581 | + | 0.423892i | ||||
\(953\) | −13.2782 | + | 32.0565i | −0.430124 | + | 1.03841i | 0.549122 | + | 0.835742i | \(0.314962\pi\) |
−0.979247 | + | 0.202671i | \(0.935038\pi\) | |||||||
\(954\) | 1.98261 | + | 18.1811i | 0.0641895 | + | 0.588636i | ||||
\(955\) | −36.6150 | − | 7.28318i | −1.18483 | − | 0.235678i | ||||
\(956\) | 4.68737 | + | 2.74837i | 0.151600 | + | 0.0888887i | ||||
\(957\) | 14.4945 | − | 82.9031i | 0.468540 | − | 2.67988i | ||||
\(958\) | 32.9744 | + | 25.4784i | 1.06535 | + | 0.823171i | ||||
\(959\) | −15.8689 | + | 27.4857i | −0.512433 | + | 0.887560i | ||||
\(960\) | −21.7137 | + | 9.07365i | −0.700806 | + | 0.292851i | ||||
\(961\) | 13.7230 | + | 23.7690i | 0.442678 | + | 0.766741i | ||||
\(962\) | −4.50505 | + | 33.3537i | −0.145249 | + | 1.07537i | ||||
\(963\) | −0.224363 | + | 0.778126i | −0.00723001 | + | 0.0250748i | ||||
\(964\) | 19.6653 | + | 34.5956i | 0.633377 | + | 1.11425i | ||||
\(965\) | −5.72769 | − | 16.8732i | −0.184381 | − | 0.543168i | ||||
\(966\) | 8.86307 | − | 8.09041i | 0.285165 | − | 0.260305i | ||||
\(967\) | 25.0943 | + | 32.7035i | 0.806978 | + | 1.05167i | 0.997547 | + | 0.0700005i | \(0.0223001\pi\) |
−0.190569 | + | 0.981674i | \(0.561033\pi\) | |||||||
\(968\) | −20.6606 | − | 80.3337i | −0.664058 | − | 2.58202i | ||||
\(969\) | 40.2020 | + | 9.77576i | 1.29147 | + | 0.314043i | ||||
\(970\) | −20.0650 | + | 3.92120i | −0.644247 | + | 0.125902i | ||||
\(971\) | 4.51426 | + | 6.75606i | 0.144869 | + | 0.216812i | 0.896807 | − | 0.442422i | \(-0.145881\pi\) |
−0.751938 | + | 0.659234i | \(0.770881\pi\) | |||||||
\(972\) | 25.5479 | + | 17.8691i | 0.819449 | + | 0.573153i | ||||
\(973\) | 4.34753 | − | 0.864778i | 0.139376 | − | 0.0277235i | ||||
\(974\) | 0.0793594 | − | 23.6424i | 0.00254284 | − | 0.757552i | ||||
\(975\) | −9.80856 | + | 1.52421i | −0.314125 | + | 0.0488136i | ||||
\(976\) | −41.3374 | − | 3.26732i | −1.32318 | − | 0.104584i | ||||
\(977\) | 7.97955 | + | 29.7801i | 0.255288 | + | 0.952749i | 0.967930 | + | 0.251221i | \(0.0808320\pi\) |
−0.712642 | + | 0.701528i | \(0.752501\pi\) | |||||||
\(978\) | 30.1658 | − | 4.58398i | 0.964595 | − | 0.146579i | ||||
\(979\) | −76.3812 | + | 66.9845i | −2.44115 | + | 2.14083i | ||||
\(980\) | 1.29488 | + | 3.90041i | 0.0413633 | + | 0.124594i | ||||
\(981\) | −0.903760 | − | 0.721056i | −0.0288548 | − | 0.0230216i | ||||
\(982\) | −25.5438 | + | 12.4904i | −0.815136 | + | 0.398585i | ||||
\(983\) | 30.2959 | + | 23.2468i | 0.966289 | + | 0.741459i | 0.966000 | − | 0.258541i | \(-0.0832416\pi\) |
0.000288167 | 1.00000i | \(0.499908\pi\) | ||||||||
\(984\) | 3.69091 | − | 19.9258i | 0.117662 | − | 0.635211i | ||||
\(985\) | −10.1879 | + | 7.81744i | −0.324613 | + | 0.249084i | ||||
\(986\) | 37.9016 | + | 18.8494i | 1.20703 | + | 0.600287i | ||||
\(987\) | 18.5533 | − | 4.14134i | 0.590559 | − | 0.131820i | ||||
\(988\) | 26.3817 | − | 19.9634i | 0.839314 | − | 0.635122i | ||||
\(989\) | 6.72890 | − | 10.0705i | 0.213967 | − | 0.320224i | ||||
\(990\) | −4.00921 | + | 45.5817i | −0.127421 | + | 1.44868i | ||||
\(991\) | − | 6.34158i | − | 0.201447i | −0.994914 | − | 0.100723i | \(-0.967884\pi\) | ||
0.994914 | − | 0.100723i | \(-0.0321157\pi\) | |||||||
\(992\) | −42.7759 | − | 6.36360i | −1.35814 | − | 0.202045i | ||||
\(993\) | 5.57101 | − | 51.5574i | 0.176791 | − | 1.63612i | ||||
\(994\) | 10.0865 | − | 1.29348i | 0.319924 | − | 0.0410268i | ||||
\(995\) | −3.09673 | − | 6.27954i | −0.0981728 | − | 0.199075i | ||||
\(996\) | 2.94118 | + | 10.2922i | 0.0931950 | + | 0.326122i | ||||
\(997\) | 50.8723 | − | 17.2688i | 1.61114 | − | 0.546909i | 0.636615 | − | 0.771182i | \(-0.280334\pi\) |
0.974526 | + | 0.224273i | \(0.0720008\pi\) | |||||||
\(998\) | −21.2981 | + | 1.32417i | −0.674179 | + | 0.0419158i | ||||
\(999\) | 34.4512 | + | 29.9495i | 1.08999 | + | 0.947559i |
(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 | 576.2.bm.a.517.37 | yes | 1504 | |
9.7 | even | 3 | inner | 576.2.bm.a.133.27 | yes | 1504 | |
64.13 | even | 16 | inner | 576.2.bm.a.13.27 | ✓ | 1504 | |
576.205 | even | 48 | inner | 576.2.bm.a.205.37 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.27 | ✓ | 1504 | 64.13 | even | 16 | inner | |
576.2.bm.a.133.27 | yes | 1504 | 9.7 | even | 3 | inner | |
576.2.bm.a.205.37 | yes | 1504 | 576.205 | even | 48 | inner | |
576.2.bm.a.517.37 | yes | 1504 | 1.1 | even | 1 | trivial |